publication-jpn

高阪 史明 (Kohsaka, Fumiaki)

業績リスト

論文 (査読あり)

• 1. Fumiaki Kohsaka and Wataru Takahashi, Approximating zero points of accretive operators in strictly convex Banach spaces, Proceedings of the Second International Conference on Nonlinear Analysis and Convex Analysis, 191--196, 2003.

  2. Fumiaki Kohsaka and Wataru Takahashi, Minimization theorem in a Banach space and its applications, Scientiae Mathematicae Japonicae 59, No.3 (2004), 429--436.

  3. Fumiaki Kohsaka and Wataru Takahashi, Strong convergence of an iterative sequence for maximal monotone operators in a Banach space, Abstract and Applied Analysis 2004, No.3 (2004), 239--249.

  4. Fumiaki Kohsaka and Wataru Takahashi, Iterative scheme for finding a common point of infinitely many convex sets in a Banach space, Journal of Nonlinear and Convex Analysis 5, No.3 (2004), 407--414.

  5. Shoji Kamimura, Fumiaki Kohsaka, and Wataru Takahashi, Weak and strong convergence theorems for maximal monotone operators in a Banach space, Set-Valued Analysis 12, No.4 (2004), 417--429.

  6. Fumiaki Kohsaka and Wataru Takahashi, Weak and strong convergence theorems for minimax problems in Banach spaces, Proceedings of the Third International Conference on Nonlinear Analysis and Convex Analysis, 203--215, 2004.

  7. Fumiaki Kohsaka and Wataru Takahashi, Minimization theorems in Banach spaces with applications, Proceedings of the International Symposium on Banach and Function Spaces, 301--313, 2004.

  8. Fumiaki Kohsaka and Wataru Takahashi, Proximal point algorithms with Bregman functions in Banach spaces, Journal of Nonlinear and Convex Analysis 6, No.3 (2005), 505--523.

  9. Fumiaki Kohsaka and Wataru Takahashi, Weak and strong convergence to common points of families of convex sets in Banach spaces, Proceedings of the Fourth International Conference on Nonlinear Analysis and Convex Analysis, 261--275, 2007.

  10. Fumiaki Kohsaka and Wataru Takahashi, Block iterative methods for a finite family of relatively nonexpansive mappings in Banach spaces, Fixed Point Theory and Applications 2007, Article ID 21972 (2007), 1--18.

  11. Fumiaki Kohsaka and Wataru Takahashi, Approximating common fixed points of countable families of strongly nonexpansive mappings, Nonlinear Studies 14, No.2 (2007), 219--234.

  12. Fumiaki Kohsaka and Wataru Takahashi, Generalized nonexpansive retractions and a proximal-type algorithm in Banach spaces, Journal of Nonlinear and Convex Analysis 8, No.2 (2007), 197--209.

  13. Fumiaki Kohsaka and Wataru Takahashi, The set of common fixed points of an infinite family of relatively nonexpansive mappings, Proceedings of the International Symposium on Banach and Function Spaces II, 361--373, 2008.

  14. Fumiaki Kohsaka and Wataru Takahashi, Strongly convergent net given by a fixed point theorem for firmly nonexpansive type mappings, Applied Mathematics and Computation 202, No.2 (2008), 760--765.

  15. Fumiaki Kohsaka and Wataru Takahashi, Fixed point theorems for a class of nonlinear mappings related to maximal monotone operators in Banach spaces, Archiv der Mathematik 91, No.2 (2008), 166--177.

  16. Fumiaki Kohsaka and Wataru Takahashi, Existence and approximation of fixed points of firmly nonexpansive-type mappings in Banach spaces, SIAM Journal on Optimization 19, No.2 (2008), 824--835.

  17. Koji Aoyama, Fumiaki Kohsaka, and Wataru Takahashi, Strong convergence theorems by shrinking and hybrid projection methods for relatively nonexpansive mappings in Banach spaces, Proceedings of the 5th International Conference on Nonlinear Analysis and Convex Analysis, 7--26, 2009.

  18. Koji Aoyama, Fumiaki Kohsaka, and Wataru Takahashi, Three generalizations of firmly nonexpansive mappings: Their relations and continuity properties, Journal of Nonlinear and Convex Analysis 10, No.1 (2009), 131--147.

  19. Koji Aoyama, Fumiaki Kohsaka, and Wataru Takahashi, Strongly relatively nonexpansive sequences in Banach spaces and applications, Journal of Fixed Point Theory and Applications 5, No.2 (2009), 201--225.

  20. Koji Aoyama, Fumiaki Kohsaka, and Wataru Takahashi, Strong convergence theorems for a family of mappings of type (P) and applications, Proceedings of the Asian Conference on Nonlinear Analysis and Optimization, 1--17, 2009.

  21. Fumiaki Kohsaka, Fixed points of semigroups of nonexpansive mappings in compact convex metric spaces, Proceedings of the Asian Conference on Nonlinear Analysis and Optimization, 179--184, 2009.

  22. Koji Aoyama, Fumiaki Kohsaka, and Wataru Takahashi, Shrinking projection methods for firmly nonexpansive mappings, Nonlinear Analysis Series A: Theory, Methods & Applications 71, No.12 (2009), e1626--e1632.

  23. Wataru Takahashi, Jen-Chih Yao, and Fumiaki Kohsaka, The fixed point property and unbounded sets in Banach spaces, Taiwanese Journal of Mathematics 14, No.2 (2010), 733--742.

  24. Koji Aoyama and Fumiaki Kohsaka, Existence of fixed points of firmly nonexpansive-like mappings in Banach spaces, Fixed Point Theory and Applications 2010, Article ID 512751 (2010), 1--15.

  25. Koji Aoyama, Shigeru Iemoto, Fumiaki Kohsaka, and Wataru Takahashi, Fixed point and ergodic theorems for $\lambda$-hybrid mappings in Hilbert spaces, Journal of Nonlinear and Convex Analysis 11, No.2 (2010), 335--343.

  26. Koji Aoyama, Fumiaki Kohsaka, and Wataru Takahashi, Proximal point methods for monotone operators in Banach spaces, Taiwanese Journal of Mathematics 15, No.1 (2011), 259--281.

  27. Koji Aoyama and Fumiaki Kohsaka, Fixed point and mean convergence theorems for a family of $\lambda$-hybrid mappings, Journal of Nonlinear Analysis and Optimization 2, No.1 (2011), 87--95.

  28. Koji Aoyama and Fumiaki Kohsaka, Fixed point theorem for $\alpha$-nonexpansive mappings in Banach spaces, Nonlinear Analysis Series A: Theory, Methods & Applications 74, No.13 (2011), 4387--4391.

  29. Fumiaki Kohsaka, Existence of fixed points of nonspreading mappings with Bregman distances, Proceedings of the International Conference on Nonlinear Mathematics for Uncertainty and its Applications, Advances in Intelligent and Soft Computing 100, 403--410, 2011.

  30. Fumiaki Kohsaka, Minimax problems and mappings of firmly nonexpansive type in Banach spaces, Proceedings of the International Symposium on Banach and Function Spaces III, 381--390, 2011.

  31. Koji Aoyama, Yasunori Kimura, and Fumiaki Kohsaka, Strong convergence theorems for strongly relatively nonexpansive sequences and applications, Journal of Nonlinear Analysis and Optimization 3, No.1 (2012), 67--77.

  32. Koji Aoyama and Fumiaki Kohsaka, Uniform mean convergence theorems for hybrid mappings in Hilbert spaces, Fixed Point Theory and Applications 2012: 193 (2012), 1--13.

  33. Koji Aoyama and Fumiaki Kohsaka, Viscosity approximation process for a sequence of quasinonexpansive mappings, Fixed Point Theory and Applications 2014: 17 (2014), 1--11.

  34. Fumiaki Kohsaka, Averaged sequences for nonspreading mappings in Banach spaces, Proceedings of the International Symposium on Banach and Function Spaces IV, 313--323, 2014.

  35. Koji Aoyama and Fumiaki Kohsaka, Strongly relatively nonexpansive sequences generated by firmly nonexpansive-like mappings, Fixed Point Theory and Applications 2014: 95 (2014), 1--13.

  36. Fumiaki Kohsaka, An implicitly defined iterative sequence for monotone operators in Banach spaces, Journal of Inequalities and Applications 2014: 181 (2014), 1--9.

  37. Fumiaki Kohsaka, Weak convergence theorem for a sequence of quasinonexpansive type mappings, Proceedings of the 8th International Conference on Nonlinear Analysis and Convex Analysis, 289--300, 2015.

  38. Fumiaki Kohsaka, Ray's theorem revisited: a fixed point free firmly nonexpansive mapping in Hilbert spaces, Journal of Inequalities and Applications 2015: 86 (2015), 1--3.

  39. Fumiaki Kohsaka, Existence and approximation of common fixed points of two hybrid mappings in Hilbert spaces, Journal of Nonlinear and Convex Analysis 16, No.11 (2015), 2193--2205.

  40. Yasunori Kimura and Fumiaki Kohsaka, Spherical nonspreadingness of resolvents of convex functions in geodesic spaces, Journal of Fixed Point Theory and Applications 18, No.1 (2016), 93--115 (First online: 31 October 2015).

  41. Yasunori Kimura and Fumiaki Kohsaka, Two modified proximal point algorithms for convex functions in Hadamard spaces, Linear and Nonlinear Analysis 2, No.1 (2016), 69--86.

  42. Fumiaki Kohsaka and Tomonari Suzuki, Existence and approximation of fixed points of Chatterjea mappings with Bregman distances, Linear and Nonlinear Analysis 3, No.1 (2017), 73--86.

  43. Yasunori Kimura and Fumiaki Kohsaka, The proximal point algorithm in geodesic spaces with curvature bounded above, Linear and Nonlinear Analysis 3, No.1 (2017), 133--148.

  44. Koji Aoyama and Fumiaki Kohsaka, Cutter mappings and subgradient projections in Banach spaces, Linear and Nonlinear Analysis 3, No.3 (2017), 457--473.

  45. Fumiaki Kohsaka, Existence and approximation of fixed points of vicinal mappings in geodesic spaces, Pure and Applied Functional Analysis 3, No.1 (2018), 91--106.

  46. Yasunori Kimura and Fumiaki Kohsaka, Two modified proximal point algorithms in geodesic spaces with curvature bounded above, Rendiconti del Circolo Matematico di Palermo Series 2 68, No.1 (2019), 83--104 (First online: 12 April 2018).

  47. Fumiaki Kohsaka, Fixed points of metrically nonspreading mappings in Hadamard spaces, Applied Analysis and Optimization 3, No.2 (2019), 213--230.

  48. Koji Aoyama and Fumiaki Kohsaka, Strongly quasinonexpansive mappings, III, Linear and Nonlinear Analysis 6, No.1 (2020), 1--12.

  49. Parin Chaipunya, Fumiaki Kohsaka, and Poom Kumam, Monotone vector fields and generation of nonexpansive semigroups in complete CAT(0) spaces, Numer. Funct. Anal. Optim. 42, No. 9 (2021), 989--1018. 

  50. Sakan Termkaew, Parin Chaipunya, and Fumiaki Kohsaka, Infinite product and its convergence in CAT(1) spaces, Mathematics, Published online: April 11, 2023.

参考論文 (査読なし)

• 1. 高阪史明, 高橋渉, Convergence theorems with generalized projections in Banach spaces and applications, 非線形解析学と凸解析学の研究, 京都大学数理解析研究所講究録 1298 (2002), 97--109.

  2. 高阪史明, Convergence theorems for proximal point algorithms in Banach spaces, 第13回関数空間セミナー報告集 (北海道大学大学院理学研究科 北大21世紀COEプログラム「特異性から見た非線形構造の数学」協賛), 北海道大学数学講究録 91 (2005), 83--88.

  3. 高阪史明, 高橋渉, 凸計画問題と関連する反復法, 最適化数理の手法と実際, 京都大学数理解析研究所講究録 1461 (2005), 47--61.

  4. 高阪史明, On fixed points of a family of nonlinear operators in Banach spaces, 第45回実函数論・函数解析学合同シンポジウム講演集 (2006), 83--88.

  5. 高阪史明, Iterative methods for image recovery problems in Banach spaces, 第14回関数空間セミナー報告集 (北海道大学大学院理学研究科 北大21世紀COEプログラム「特異性から見た非線形構造の数学」協賛), 北海道大学数学講究録 105 (2006), 69--74.

  6. 高阪史明, 高橋渉, 制約可能性問題の解の近似法, モデリングと最適化の理論, 京都大学数理解析研究所講究録 1526 (2006), 146--154.

  7. 高阪史明, Fixed point theorems for some nonlinear operators in Banach spaces, 第16回関数空間セミナー報告集 (北海道大学大学院理学研究科 北大21世紀COEプログラム「特異性から見た非線形構造の数学」協賛), 北海道大学数学講究録 128 (2008), 74--79.

  8. 高阪史明, 高橋渉, Fixed point theorems for nonlinear mappings related to maximal monotone operators in Banach spaces, 非線形解析学と凸解析学の研究, 京都大学数理解析研究所講究録 1611 (2008), 86--94.

  9. 高阪史明, On fixed points of resolvents of monotone operators in Banach spaces, 第17回関数空間セミナー報告集, 北海道大学数学講究録 139 (2009), 86--91.

  10. 高阪史明, 高橋渉, On firmly nonexpansive type mappings in Banach spaces, 非線形解析学と凸解析学の研究, 京都大学数理解析研究所講究録 1643 (2009), 43--49.

  11. 高阪史明, バナッハ空間における凸最小化問題と関連する不動点定理, 非加法性の数理と情報: 凸解析との接点, 京都大学数理解析研究所講究録 1683 (2010), 62--77.

  12. 高阪史明, Relatively nonexpansive写像族の共通不動点集合について, 非線形解析学と凸解析学の研究, 京都大学数理解析研究所講究録 1685 (2010), 18--25.

  13. 高阪史明, Existence theorems for firmly nonexpansive-like mappings in Banach spaces, 実解析学シンポジウム2010報告集 42 (2010), 121--124.

  14. 高阪史明, バナッハ空間におけるstrongly relatively nonexpansive sequenceについて, バナッハ空間論の研究とその周辺, 京都大学数理解析研究所講究録 1753 (2011), 127--139.

  15. 高阪史明, Strongly relatively nonexpansive写像について, 非線形解析学と凸解析学の研究, 京都大学数理解析研究所講究録 1755 (2011), 30--37.

  16. 高阪史明, 堅非拡大写像の一般化に対する不動点定理について, 独立性と従属性の数理 ---函数解析学の視点から---, 京都大学数理解析研究所講究録 1819 (2012), 77--88.

  17. 高阪史明, バナッハ空間における堅非拡型大写像の不動点について, 独立性と従属性の数理 ---代数と確率の出会い---, 京都大学数理解析研究所講究録 1820 (2012), 57--68.

  18. 高阪史明, バナッハ空間における単調作用素に対する近接点法について, 非線形解析学と凸解析学の研究, 京都大学数理解析研究所講究録 1821 (2013), 40--47.

  19. 高阪史明, ハイブリッド写像の不動点について, 非線形解析学と凸解析学の研究, 京都大学数理解析研究所講究録 1841 (2013), 77--85.

  20. 高阪史明, 集合値写像の零点問題と関連する不動点定理, 函数解析学による一般化エントロピーの新展開, 京都大学数理解析研究所講究録 1852 (2013), 25--32.

  21. 高阪史明, バナッハ空間におけるfirmly nonexpansive-like写像に対する不動点近似, 非線形解析学と凸解析学の研究, 京都大学数理解析研究所講究録 1963 (2015), 170--177.

  22. 高阪史明, ヒルベルト空間における二つの可換なhybrid写像の共通不動点, 非線形解析学と凸解析学の研究, 京都大学数理解析研究所講究録 2065 (2018), 63--74.

  23. 高阪史明, Approximation of minimizers of convex functions in Hadamard spaces, 非線形解析学と凸解析学の研究, 京都大学数理解析研究所講究録 2194 (2021), 195--200.

講演 (国際的会合)

• 1. Fumiaki Kohsaka* and Wataru Takahashi, Approximating zero points of accretive operators in strictly convex Banach spaces, in The Second International Conference on Nonlinear Analysis and Convex Analysis, Hirosaki University, Hirosaki, Japan, July 30--August 2, 2001.

  2. Fumiaki Kohsaka* and Wataru Takahashi, Approximating solutions of maximal monotone operators in a Banach space and applications, in The Third International Conference on Nonlinear Analysis and Convex Analysis, Tokyo Institute of Technology, Tokyo, Japan, August 25--29, 2003.

  3. Fumiaki Kohsaka* and Wataru Takahashi, Minimization theorems in Banach spaces with applications, in The International Symposium on Banach and Function Spaces 2003, Kyushu Institute of Technology, Kitakyushu, Japan, October 2--4, 2003.

  4. Fumiaki Kohsaka* and Wataru Takahashi, Convergence theorems for closed convex sets and maximal monotone operators, in The International Videoconference of Mathematical Sciences, Japanese Association of Mathematical Sciences, Japan, December 2, 2003.

  5. Fumiaki Kohsaka* and Wataru Takahashi, Convergence theorems for maximal monotone operators in Banach spaces, in The Fourth World Congress of Nonlinear Analysts, Hyatt Grand Cypress Resort, Orlando, Florida, USA, June 30--July 7, 2004.

  6. Fumiaki Kohsaka* and Wataru Takahashi, Projection algorithms for families of convex sets in Banach spaces, in The Fourth International Conference on Nonlinear Analysis and Convex Analysis, Okinawa Convention Center, Okinawa, Japan, June 30--July 4, 2005.

  7. Fumiaki Kohsaka* and Wataru Takahashi, Approximating common fixed points of families of relatively nonexpansive mappings in Banach spaces, in The Second International Symposium on Banach and Function Spaces 2006, Kyushu Institute of Technology, Kitakyushu, Japan, September 14--17, 2006.

  8. Fumiaki Kohsaka, Some properties of firmly nonexpansive type mappings in Banach spaces, in The Fifth International Conference on Nonlinear Analysis and Convex Analysis, National Tsing Hua University, Hsinchu, Taiwan, May 30--June 4, 2007.

  9. Fumiaki Kohsaka, Common fixed points of an infinite family of relatively nonexpansive mappings in Banach spaces, in The Japan-Thailand Joint Seminar on Fixed Point Algorithms in Optimization, Tokyo Institute of Technology, Tokyo, Japan, September 6--7, 2007.

  10. Fumiaki Kohsaka, On fixed points of firmly nonexpansive type mappings in Banach spaces, in The Fifth World Congress of Nonlinear Analysts, Hyatt Grand Cypress Resort, Orlando, Florida, USA, July 2--9, 2008.

  11. Fumiaki Kohsaka, Fixed points of nonspreading mappings in Banach spaces, in Asian Conference on Nonlinear Analysis and Optimization, Kunibiki Messe, Matsue, Shimane, Japan, September 14--18, 2008.

  12. Fumiaki Kohsaka, The set of common fixed points of families of relatively nonexpansive mappings, in The Sixth International Conference on Nonlinear Analysis and Convex Analysis, Tokyo Institute of Technology, Tokyo, Japan, March 27--31, 2009.

  13. Fumiaki Kohsaka, Maximal monotone operators and firmly nonexpansive-type mappings in Banach spaces, in The 9th International Conference on Fixed Point Theory and Its Applications, National Changhua University of Education, Changhua, Taiwan, July 16--22, 2009.

  14. Fumiaki Kohsaka, Fixed point theorems for mappings of type (P), (Q), and (R) in Banach spaces, in The Third International Symposium on Banach and Function Spaces 2009, Kyushu Institute of Technology, Kitakyushu, Japan, September 14--17, 2009.

  15. Fumiaki Kohsaka, On fixed points of firmly nonexpansive-like mappings in Banach spaces, in The Second Asian Conference on Nonlinear Analysis and Optimization, Royal Paradise Hotel & Spa, Patong Beach, Phuket, Thailand, September 9--12, 2010.

  16. Fumiaki Kohsaka, Existence of fixed points of nonspreading mappings with Bregman distances, in The International Conference on Nonlinear Mathematics for Uncertainty and its Applications, Beijing University of Technology, Beijing, China, September 7--9, 2011.

  17. Fumiaki Kohsaka, Some properties of resolvents of monotone operators in Banach spaces, in The Third Asian Conference on Nonlinear Analysis and Optimization, Kunibiki Messe, Matsue, Shimane, Japan, September 2--6, 2012.

  18. Fumiaki Kohsaka, Fixed point theorems for some nonlinear mappings related to resolvents of monotone or accretive operators, in The Fourth International Symposium on Banach and Function Spaces 2012, Kyushu Institute of Technology, Kitakyushu, Japan, September 12--15, 2012.

  19. Fumiaki Kohsaka, Modified proximal point methods for monotone operators in Banach spaces, in The International Conference on the Theory, Methods and Applications of Nonlinear Equations, Texas A&M University-Kingsville, Texas, USA, December 17--21, 2012.

  20. Fumiaki Kohsaka, Unbounded sets and nonexistence of fixed points in Banach spaces, in The International Conference Anatolian Communications in Nonlinear Analysis, Abant Izzet Baysal University, Bolu, Turkey, July 3--6, 2013.

  21. Fumiaki Kohsaka, On firmly nonexpansive type mappings in Banach spaces, in The Eighth International Conference on Nonlinear Analysis and Convex Analysis, Hirosaki University, Hirosaki, Japan, August 2--6, 2013.

  22. Fumiaki Kohsaka, Strong convergence theorem for a strongly relatively nonexpansive sequence of mappings, in The International Conference on Nonlinear Analysis and Optimization, National Sun Yat-sen University, Kaohsiung, Taiwan, December 20--22, 2013.

  23. Fumiaki Kohsaka, Finding fixed points of firmly nonexpansive-like mappings in Banach spaces, in The International Congress in Honour of Professor Ravi P. Agarwal, Uludag University, Bursa, Turkey, June 23--26, 2014.

  24. Fumiaki Kohsaka, Mean convergence theorems for pointwise convergent sequences of hybrid mappings, in The Ninth International Conference on Nonlinear Analysis and Convex Analysis, Rimkok Resort Hotel, Chiang Rai, Thailand, January 21--25, 2015.

  25. Fumiaki Kohsaka, Asymptotic behavior of averaged sequences for nonspreading mappings in Banach spaces, in The Fifth International Symposium on Banach and Function Spaces 2015, Kyushu Institute of Technology, Kitakyushu, Japan, September 2--6, 2015.

  26. Fumiaki Kohsaka, An implicitly defined iterative sequence for maximal monotone operators in Banach spaces, in VII Symposium on Nonlinear Analysis, Nicolaus Copernicus University, Torun, Poland, September 14--18, 2015.

  27. Fumiaki Kohsaka, Existence and approximation of minimizers of convex functions in geodesic metric spaces, in The 9th Asian Conference on Fixed Point Theory and Optimization, King Mongkut's University of Technology Thonburi, Bangkok, Thailand, May 18--20, 2016.

  28. Fumiaki Kohsaka, Spherically nonspreading mappings in geodesic metric spaces with curvature bounded above, in The 5th Asian Conference on Nonlinear Analysis and Optimization, Toki Messe, Niigata, Japan, August 1--6, 2016.

  29. Fumiaki Kohsaka, Minimizing convex functions in geodesic metric spaces with curvature bounded above, in The International Conference on New Trends in Optimization and Variational Analysis for Applications, Quy Nhon University, Quy Nhon, Vietnam, December 7--10, 2016.

  30. Fumiaki Kohsaka, The proximal point algorithm and its variants for convex functions in geodesic metric spaces, in The 10th Anniversary International Conference on Nonlinear Analysis and Convex Analysis, Chitose City Cultural Center, Chitose, Japan, July 4--9, 2017.

  31. Fumiaki Kohsaka, Approximating minimizers of convex functions in geodesic metric spaces with curvature bounded above, in XII International Symposium on Generalized Convexity and Monotonicity, Hajduszoboszlo, Hungary, August 27--September 2, 2017.

  32. Fumiaki Kohsaka, The resolvents of convex functions in geodesic metric spaces, in The Workshop Convex Analysis in CAT(k) Spaces, King Mongkut's University of Technology Thonburi, Bangkok, Thailand, September 8--9, 2017.

  33. Fumiaki Kohsaka, Fixed point problems for spherically nonspreading mappings and vicinal mappings in CAT(1) spaces, in The Workshop Convex Analysis in CAT(k) Spaces, King Mongkut's University of Technology Thonburi, Bangkok, Thailand, September 8--9, 2017.

  34. Fumiaki Kohsaka, The proximal point algorithm for convex functions in geodesic spaces, in A seminar on Nonlinear Analysis and Applications, Tokai University, Hiratsuka, Japan, April 4, 2018.

  35. Fumiaki Kohsaka, Fixed points of vicinal mappings in complete CAT(1) spaces, in The 10th Asian Conference on Fixed Point Theory and Optimization, The Empress Hotel, Chiang Mai, Thailand, July 16--18, 2018.

  36. Fumiaki Kohsaka, Recent results on the resolvents of convex functions in geodesic spaces, in The Inthernational Symposium on Nonlinear Convex Analysis and Optimization 2018, King Mongkut's University of Technology Thonburi, Bangkok, Thailand, July 19--22, 2018.

  37. Fumiaki Kohsaka, Fixed points of vicinal mappings and convex optimization in geodesic metric spaces, in The Inthernational Workshop on Variational Analysis and Applications, Ettore Majorana Foundation and Centre for Scientific Culture, Erice--Sicily, Italy, August 28--September 5, 2018.

  38. Fumiaki Kohsaka, Fixed points of nonspreading mappings and its relatives in Banach spaces, in The Seminar on Fixed Point Theory and Optimization, Khon Kaen University, Khon Kaen, Thailand, September 12, 2018.

  39. Fumiaki Kohsaka, Fundamental properties of resolvents of convex functions in geodesic spaces, in The Seminar on Fixed Point Theory and Optimization, Khon Kaen University, Khon Kaen, Thailand, September 12, 2018.

  40. Fumiaki Kohsaka, Fixed points of Chatterjea mappings with Bregman distances in Banach spaces, in The 6th Asian Conference on Nonlinear Analysis and Optimization, Okinawa Institute of Science and Technology Graduate University and ANA Intercontinental Manza Beach Resort, Onna-son, Okinawa, Japan, November 5--9, 2018.

  41. Pinya Ardsalee, Fumiaki Kohsaka, Jenjira Puiwong, and Satit Saejung*, On metric completeness and some preservations of convex metric spaces in the sense of Takahashi, in International Conference on Nonlinear Analysis and Convex Analysis--International Conference on Optimization: Techniques and Applications (NACA-ICOTA2019), Future University Hakodate, Hakodate, Japan, August 26--31, 2019.

  42. Fumiaki Kohsaka, Fixed points of metrically nonspreading mappings in Hadamard spaces, in International Conference on Nonlinear Analysis and Convex Analysis--International Conference on Optimization: Techniques and Applications (NACA-ICOTA2019), Future University Hakodate, Hakodate, Japan, August 26--31, 2019.

  43. Fumiaki Kohsaka, Finding fixed points of metrically nonspreading mappings in Hadamard spaces, in The 2nd International Workshop on Applied Nonlinear Analysis (IWANA2019), Bangsaen, Chonburi, Thailand, September 12--14, 2019.

  44. Fumiaki Kohsaka, Firmly nonexpansive like mappings in Banach spaces, in Workshop on "Convex Analysis on Geodesic Spaces", Khon Kaen University, Khon Kaen, Thailand, September 17--18, 2019.

  45. Fumiaki Kohsaka, Metrically nonspreading mappings, in Workshop on "Convex Analysis on Geodesic Spaces", Khon Kaen University, Khon Kaen, Thailand, September 17--18, 2019.

  46. Fumiaki Kohsaka, Fixed point problems for firmly nonexpansive like mappings in Banach spaces, in 14th International Seminar on Optimization and Related Areas (ISORA), the Instituto de Matemática y Ciencias Afines (IMCA), Lima, Peru, October 7--11, 2019.

講演 (国内)

• 1. 高阪史明*, 高橋渉, Convergence theorems with generalized projections in Banach spaces and applications, 非線形解析学と凸解析学の研究, 京都大学数理解析研究所, 2002年9月17日--19日.

  2. 高阪史明*, 高橋渉, Convergence theorems for proximal point algorithms in Banach spaces, 第13回関数空間セミナー (北海道大学大学院理学研究科 北大21世紀COEプログラム「特異性から見た非線形構造の数学」協賛), お茶の水女子大学, 2004年12月23日--25日.

  3. 高阪史明*, 高橋渉, 凸計画問題と関連する反復法, 最適化数理の手法と実際, 京都大学数理解析研究所, 2005年7月19日--21日.

  4. 高阪史明, Iterative methods for image recovery problems in Banach spaces, 第14回関数空間セミナー 関数環・関数空間の合同シンポジウム (北海道大学大学院理学研究科 北大21世紀COEプログラム「特異性から見た非線形構造の数学」協賛), 北海道大学, 2005年12月23日--26日.

  5. 高阪史明, 高橋渉, 制約可能性問題の解の近似法, モデリングと最適化の理論, 京都大学数理解析研究所, 2006年7月12日--14日.

  6. 高阪史明, On fixed points of a family of nonlinear operators in Banach spaces, 第45回実函数論・函数解析学合同シンポジウム, 東海大学湘南キャンパス, 2006年8月7日--9日.

  7. 高阪史明*, 高橋渉, On fixed points of semicontractive mappings in Banach spaces, 非線形解析学と凸解析学の研究, 京都大学数理解析研究所, 2007年9月3日--5日.

  8. 高阪史明, Fixed point theorems for some nonlinear operators in Banach spaces, 第16回関数空間セミナー (北海道大学大学院理学研究科 北大21世紀COEプログラム「特異性から見た非線形構造の数学」協賛), 東京理科大学, 2007年12月24日--26日.

  9. 高阪史明, On firmly nonexpansive type mappings in Banach spaces, 非線形解析学と凸解析学の研究, 京都大学数理解析研究所, 2008年9月1日--3日.

  10. 高阪史明, On fixed points of resolvents of monotone operators in Banach spaces, 第17回関数空間セミナー, 東京理科大学, 2008年12月24日--26日.

  11. 高阪史明, バナッハ空間における凸最小化問題と関連する不動点定理, 非加法性の数理と情報: 凸解析との接点, 京都大学数理解析研究所, 2009年8月5日--7日.

  12. 高阪史明, Relatively nonexpansive写像族の共通不動点集合について, 非線形解析学と凸解析学の研究, 京都大学数理解析研究所, 2009年8月31日--9月2日.

  13. 高阪史明, Strongly relatively nonexpansive写像について, 非線形解析学と凸解析学の研究, 京都大学数理解析研究所, 2010年8月30日--9月1日.

  14. 高阪史明, Existence theorems for firmly nonexpansive-like mappings in Banach spaces, 実解析学シンポジウム2010, 九州工業大学戸畑キャンパス, 2010年11月12日--14日.

  15. 高阪史明, 堅非拡大写像の一般化に対する不動点定理について, 独立性と従属性の数理 ---函数解析学の視点から---, 京都大学数理解析研究所, 2010年12月20日--22日.

  16. 高阪史明, バナッハ空間におけるstrongly relatively nonexpansive sequenceについて, バナッハ空間論の研究とその周辺, 京都大学数理解析研究所, 2011年2月14日--16日.

  17. 高阪史明, バナッハ空間における単調作用素に対する近接点法について, 非線形解析学と凸解析学の研究, 京都大学数理解析研究所, 2011年8月29日--31日.

  18. 高阪史明, 堅非拡大写像の一般化について, 日本数学会2011年度秋季総合分科会, 信州大学松本キャンパス, 2011年9月28日--10月1日.

  19. 高阪史明, バナッハ空間における堅非拡大型写像の不動点について, 独立性と従属性の数理 ---代数と確率の出会い---, 京都大学数理解析研究所, 2011年12月19日--21日.

  20. 高阪史明, バナッハ空間における単調作用素の零点近似法, 日本数学会2012年度年会, 東京理科大学神楽坂キャンパス, 2012年3月26日--29日.

  21. 高阪史明, On fixed points of hybrid mappings, 非線形解析学と凸解析学の研究, 京都大学数理解析研究所, 2012年8月29日--31日.

  22. 高阪史明, 非線形写像の不動点と集合値写像の零点について, 第127回日本数学会九州支部例会, 大分大学産学連携推進機構, 2012年10月27日.

  23. 高阪史明, 集合値写像の零点問題と関連する不動点定理, 函数解析学による一般化エントロピーの新展開, 京都大学数理解析研究所, 2012年11月12日--14日.

  24. 高阪史明, 不動点の非存在性と非有界集合, 日本数学会2013年度年会, 京都大学吉田キャンパス吉田南構内, 2013年3月20日--23日.

  25. 高阪史明, 二変数関数の鞍点と非線形写像の不動点, 日本数学会2013年度秋季総合分科会, 愛媛大学城北キャンパス, 2013年9月24日--27日.

  26. 高阪史明, ヒルベルト空間におけるハイブリッド写像に対する不動点問題, Miniworkshop on Analysis at Kagurazaka, 東京理科大学神楽坂キャンパス, 2014年3月14日.

  27. 高阪史明, Fixed point approximation for firmly nonexpansive-like mappings in Banach spaces, 非線形解析学と凸解析学の研究, 京都大学数理解析研究所, 2014年8月19日--21日.

  28. 高阪史明, バナッハ空間における極大単調作用素に対する陰的な零点近似列の強収束性, 日本数学会2016年度年会, 筑波大学筑波キャンパス, 2016年3月16日--19日.

  29. 高阪史明, 凸最小化問題と関連する非線形写像とその不動点について, 数理経済学会2016年度定例セミナー, 法政大学市ヶ谷キャンパス, 2016年6月10日.

  30. 高阪史明, Common fixed points of two commutative hybrid mappings in Hilbert spaces, 非線形解析学と凸解析学の研究, 京都大学数理解析研究所, 2016年8月31日--9月2日.

  31. 高阪史明, アダマール空間における凸関数の最小点近似, 日本数学会2016年度秋季総合分科会, 関西大学千里山キャンパス, 2016年9月15日--18日.

  32. 高阪史明, 上に有界な曲率を持つ完備測地的距離空間におけるspherically nonspreading写像の不動点, 日本数学会2017年度秋季総合分科会, 山形大学小石川キャンパス, 2017年9月11日--14日.

  33. 高阪史明, 完備CAT(1)空間における凸関数に対する近接点法, 日本数学会2018年度年会, 東京大学大学院数理科学研究科, 2018年3月18日--21日.

  34. 高阪史明, 完備CAT(1)空間における凸関数の最小点近似, 日本数学会2019年度年会, 東京工業大学理学院数学系, 2019年3月17日--20日.

  35. 高阪史明, Fixed point problems in complete CAT(1) spaces, 非線形解析学と凸解析学の研究, 京都大学数理解析研究所, 2019年9月2日--9月4日.

  36. 高阪史明, アダマール空間における凸関数の最小点近似, 非線形解析学と凸解析学の研究, 京都大学数理解析研究所, 2021年3月1日--3月3日.

学位論文

• 1. Fumiaki Kohsaka, An integration property of subdifferential mappings and minimization theorems on Banach spaces, 修士論文 (東京工業大学, 2001年3月; 指導教員: 高橋渉教授).

  2. Fumiaki Kohsaka, Convergence theorems and minimization theorems for nonlinear operators in Banach spaces, 博士論文 (東京工業大学, 2004年3月; 指導教員: 高橋渉教授).

ホーム