Selected Publications

Preprint

1. Yisheng Song, Positive definiteness of fourth order three dimensional symmetric tensors, ChinaXiv:202406.00075, arXiv: 2406.04010

2. Yisheng Song, Jinjie Liu, Copositivity of a class of fourth order symmetric tensors, Chinaxiv: 202312.00110, arXiv: 2312.01683

3. Yisheng Song, Rudong Chen, Pazy's fixed point theorem with respect to the partial order in uniformly convex Banach spaces, arXiv: 1606.08216   ChinaXiv:  201606.00325

4. Yisheng Song, Liqun Qi, Eigenvalues and structured properties of P-tensors, arXiv:1508.02005, 29 Sep 2015

5. Yisheng Song, Note on "Vacuum stability of a general scalar potential of a few fields", ChinaXiv:202401.00325 arXiv:2401.13863   25 Jan 2024

6. Min Li, Yisheng Song, Strict Copositivity for a Class of 3rd Order Symmetric Tensors,  ChinaXiv:202410.00081, arXiv: 2410.08750 

7. Mingjun Sheng, Yisheng Song, The analytic criterion of strict copositivity for a 4th-order 3-dimensional tensor,   ChinaXiv:202411.00165, arXiv: 2411.07596 

8. Li Ye, Yisheng Song, Positive Definiteness of 4th Order 3-Dimensional Symmetric Tensors with entries −1, 0, 1ChinaXiv:202503.00029, arXiv: 2503.03127  

9. Zhuolin Du, Yisheng Song, A Nonparallel Support Tensor Machine for Binary Classification based Large Margin Distribution and Iterative Optimization (Published online) , ChinaXiv:202507.00342, arXiv: 2507.13012  

10. Hanxin Liu, Yisheng Song, An Image Noise Level Estimation Based on Tensor T-Product (Published online) , ChinaXiv：202508.00169, arXiv: 2507.20515

11. Li Ye, Yisheng Song, Positive Definiteness and Stability of Interval Tensors (Published online), 18 pp., ChinaXiv:202509.00092, arXiv: 2509.11540

12. Zhuolin Du, Yisheng Song, An Efficient Memory Gradient Method for Extreme M-Eigenvalues of Elastic type Tensors (Published online), 30 pp., ChinaXiv:202602.00001, arXiv: 2602.01152

13. Hanxin Liu, Zhuolin Du, Yisheng Song, High-Order Tensor Robust Principal Component Analysis with a Nonconvex Function Designed for Low-Rank Approximation, https://chinaxiv.org/abs/202602.00142, 中国科技论文预发布平台 (Published online), 29 pp., ChinaXiv:202602.00142

14. Die Xiao, Yisheng Song, Effective Second-Harmonic Generation Coefficient and C-eigenvalue of Nonlinear Susceptibility Tensors (Published online), 15 pp., arXiv: 2602.18995

15. Li Ye, Yisheng Song, Interval B-Tensors and Interval Double B-Tensors (Published online), ChinaXiv:202601.00175, arXiv: 2601.12217

2026

1. Yisheng Song, Jinjie Liu, Copositivity criteria of a class of fourth order symmetric tensors, 2026, 17 pp., Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas (Racsam Rev R Acad A, Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat.), (2026) 120:42. 11 February 2026 Volume 120, article number 42, (2026) Chinaxiv: 202312.00110, arXiv: 2312.01683  

2. Yisheng Song, Jinjie Liu, “Fourth Order Copositive Tensors – Analytic criteria and Applications”, Springer Monographs in Mathematics, Springer, 2026 (to appear)

2025

1. Yisheng Song, Positive definiteness of a class of cyclic symmetric tensors, Journal of Optimization Theory and Applications, 204 (2025), 49 , DOI :10.1007/s10957-025-02615-6 ChinaXiv: 202409.00094, arXiv: 2409.01747  

2024

1. Yisheng Song, Liqun Qi, Boundedness from below conditions for a general scalar potential of two real scalars fields and the Higgs boson，  Theoretical and Mathematical Physics (Theor. Math. Phys.) 220(3): 1567–1579 (2024) (220:3 (2024), 591–604(Russian)) Erratum: 222(3): 522–523 (2025) DOI:10.1134/S0040577924090101  arXiv:2011.11262 [math-ph] 23 Nov 2020  chinaXiv：202011.00118

2023

1. Liqun Qi, Yisheng Song, Xinzhen Zhang, Copositivity of Three-Dimensional Symmetric Tensors, Asia-Pacific Journal of Operational Research, 40 (03), 2250032, 2023  DOI: 10.1142/S0217595922500324   arXiv:2008.03998     10 Aug 2020 

2. Yisheng Song, Vacuum stability conditions  of the general two-Higgs-doublet potential, Modern Physics Letters A, 38:28n29 (2023) 2350130 (16 pages) DOI: 10.1142/S0217732323501304 arXiv:2301.09256 23 Jan 2023  chinaXiv：202301.00156 18 January 2023

3. Yisheng Song, Co-positivity of tensors and boundedness from below conditions of CP conserving two-Higgs-doublet potential, International Journal of Modern Physics A., 38(31) (2023), 2350164 Vol. 38, No. 31, 2350164 (2023) DOI: 10.1142/S0217751X23501646 arXiv:2203.11462 ChinaXiv：202204.00025

2022

1. Yisheng Song, Xudong Li, Copositivity for a class of fourth order symmetric tensors given by scalar dark matter, Journal of Optimization Theory and Applications, J Optim Theory Appl 195, 334–346 (2022). https://doi.org/10.1007/s10957-022-02086-z   arXiv: 2105.07124, chinaXiv：202105.00069  15 May 2021

2. Lu-Bin Cui, Qing Hu, Ying Chen, Yisheng Song, A Rayleigh quotient-gradient neural network method for computing 𝒵-eigenpairs of general tensors, Numerical Linear Algebra with Applications, Volume29, Issue3 May 2022 e2420 DOI:10.1002/nla.2420 

3. Jiarui Liu, Yisheng Song, Copositivity for 3rd order symmetric tensors and applications, Bulletin of the Malaysian Mathematical Sciences Society,  2022, 45(1), pp. 133–152  DOI: 10.1007/s40840-021-01180-1   arXiv: 1911.10284   ChinaXiv：201911.00094 23 November 2019 

4. Lu-bin Cui, Yudong Fan, Yisheng Song, Shi-liang Wu, The existence and uniqueness of solution for tensor complementarity problem and related systems, Journal of Optimization Theory and Applications, 192, 321–334 (2022)  DOI: 10.1007/s10957-021-01972-2

5. Liqun Qi, Yisheng Song, Xinzhen Zhang, Positivity Conditions for Cubic, Quartic and Quintic Polynomials, Journal of Nonlinear and Convex Analysis  Volume 23, Number 2, 191-213, 2022 arXiv:2008.10922    25 Aug 2020

2021

1. Yisheng Song and Liqun Qi, Analytical expressions of copositivity for 4th order symmetric tensors, Analysis and Applications, Volume No. 19, Issue No. 05, pp. 779 - 800, Year 2021 DOI: 10.1142/S0219530520500049 arXiv: 1909.00880   ChinaXiv：201909.00015 2 Sep 2019 PDF

2. Yisheng Song, Positive definiteness for 4th order symmetric tensors and applications,  Analysis and Mathematical Physics,  DOI: 10.1007/s13324-020-00450-8  Anal. Math. Phys. 11, 10 (2021). https://doi.org/10.1007/s13324-020-00450-8 PDF

2020

1. Juan Meng, Yisheng Song, Upper bounds for Z$_1$-eigenvalues of generalized Hilbert tensors,   Journal of Industrial and Management Optimization 2020, 16(2): 911-918 doi:10.3934/jimo.2018184  arXiv: 1712.04253 ChinaXiv: 201712.02142 PDF

2019

1. Xiaoyu Ma, Yisheng Song, Some bounds for the $Z-$eigenpair of nonnegative tensors,  Journal of Inequalities and Applications, 2019, Article number: 271 (2019) DOI: 10.1186/s13660-019-2226-0 PDF

2. Lubin Cui, Minghui Li, Yisheng Song,  Preconditioned tensor splitting iterations method for solving multi-linear systems, Applied Mathematics Letters Volume 96, October 2019, Pages 89-94 DOI: 10.1016/j.aml.2019.04.019 PDF

3. Lubin Cui, Yisheng Song, On the uniqueness of the positive Z-eigenvector for nonnegative tensors, Journal of Computational and Applied Mathematics, (2019) 352 72-78 DOI: 10.1016/j.cam.2018.11.032 Volume 352, 15 May 2019, Pages 72-78. PDF

4. Gaohang Yu, Yisheng Song, Yi Xu, Zefeng Yu, Spectral projected gradient methods for generalized tensor eigenvalue complementarity problems, Numerical Algorithms, April 2019, Volume 80, Issue 4, pp 1181–1201 DOI: 10.1007/s11075-018-0522-2 PDF

2018

1. Yisheng Song,  Khanitin Muangchoo-in, Poom Kumam, Yeol Je Cho, Successive Approximations for Common Fixed Points of a Family of $\alpha$-Nonexpansive Mappings Journal of Fixed Point Theory and Applications March 2018 20:10 DOI: 10.1007/s11784-018-0483-z PDF

2. Yisheng Song, Wei Mei, Structural Properties of Tensors and Complementarity Problems, Journal of Optimization Theory and Applications 176(2), 289-305 February 2018,  DOI: 10.1007/s10957-017-1212-2  arXiv: 1707.01173 ChinaXiv: 201707.00007 PDF

3. Haibin Chen, Liqun Qi, Yisheng Song  Column Sufficient Tensors and Tensor Complementarity Problem,  Frontiers of Mathematics in China (Front. Math. China)  2018, 13(2): 255-276   DOI: 10.1007/s11464-018-0681-4 PDF

2017

1.  Wei Mei, Yisheng Song, Infinite and finite dimensional generalized Hilbert tensors, Linear Algebra and its Applications, Volume 532, 1 November 2017, Pages 8–24 DOI: 10.1016/j.laa.2017.05.052 arXiv: 1611.05237 ChinaXiv: 201611.00887 PDF 

2. Yisheng Song, Liqun Qi, Strictly semi-positive tensors and the boundedness of tensor complementarity problems,  Optimization Letters，(2017) 11:1407–1426  DOI:10.1007/s11590-016-1104-7  arXiv:1509.01327,  September  2015 PDF

3. Yisheng Song, Liqun Qi, Infinite dimensional Hilbert tensors on spaces of analytic functions, Communications in Mathematical Sciences  Vol. 15, No. 7 (2017), pp. 1897-1911  DOI:  10.4310/CMS.2017.v15.n7.a5   arXiv: 1611.02357   ChinaXiv: 201611.00715  PDF

4. Yisheng Song, Liqun Qi, Properties of Tensor Complementarity Problem and Some Classes of Structured Tensors,   arXiv:1412.0113, 2014  Annals of Applied Mathematics (Ann. of Appl. Math.) 33:3(2017); 308-323 PDF

2016

1. Gaohang Yu, Zefeng Yu, Yi Xu,Yisheng Song, Yi Zhou, An adaptive gradient method for computing generalized tensor eigenpairs, Comput Optim Appl. 2016, Volume 65, Issue 3, pp 781–797 DOI: 10.1007/s10589-016-9846-9 PDF

2. Yisheng Song, Gaohang Yu, Properties of Solution set of Tensor Complementarity Problem,  Journal of Optimization Theory and Applications  July 2016, Volume 170, Issue 1, pp 85–96 DOI: 10.1007/s10957-016-0907-0  arXiv: 1508.00069, 2015 PDF

3. Yisheng Song,  Khanittha Promluang, Poom Kumam, Yeol Je Cho, Some convergence theorems of the Mann iteration for  monotone $\alpha$-nonexpansive mappings, Applied Mathematics and Computation Volumes 287–288, 5 September 2016, Pages 74–82 DOI: 10.1016/j.amc.2016.04.011PDF

4. Yisheng Song, Liqun Qi, Eigenvalue analysis of constrained minimization problem for homogeneous polynomial,  Journal of Global Optimization   March 2016, Volume 64, Issue 3, pp 563-575  arXiv:1302.6085v2 2013 PDF

5. Yisheng Song, Liqun Qi, Tensor Complementarity Problem and Semi-positive Tensors, Journal of Optimization Theory and Applications June 2016, Volume 169, Issue 3, pp 1069-1078 DOI: 10.1007/s10957-015-0800-2 arXiv:1502.02209v1 2015 PDF

6. Yisheng Song, Poom Kumam, Yeol Je Cho, Fixed point theorems and iterative approximations for monotone nonexpansive mappings in ordered Banach spaces Fixed Point Theory and Applications20162016:73 DOI: 10.1186/s13663-016-0563-yPDF

2015

1.  Yisheng Song, Liqun Qi, Necessary and sufficient conditions of copositive tensors,  Linear and Multilinear Algebra. 2015,Vol. 63,  No. 1, 120–131,  ArXiv:1302.6084 PDF

2. Yisheng Song, Liqun Qi, Properties of Some Classes of Structured Tensors, Journal of Optimization Theory and Applications,  June 2015, Volume 165, Issue 3, pp 854-873. arXiv:1403.1118 PDF

2014

1. Yisheng Song, Liqun Qi, Infinite and finite dimensional Hilbert tensors,  Linear Algebra and its Applications Volume 451, 15 June 2014, Pages 1–14. arXiv:1402.4966 PDF

2. Yisheng Song, Ying Huang, Fixed point property and approximation of a class of nonexpansive mappings, Fixed Point Theory and Applications  2014, 2014:81 DOI: 10.1186/1687-1812-2014-81PDF

3.  Liqun. Qi and Yisheng Song,  An even order symmetric B tensor is positive definite,  Linear Algebra and Its Applications Volume 457, 15 September 2014, Pages 303–312.PDF  Arxiv:1404.0452

4.  Yisheng Song, Hongjun Wang, Strong convergence for the modified Mann's iteration of $\lambda$-strict pseudocontraction,  Applied Mathematics and Computation Volume 237, 15 June 2014, Pages 405–410. PDF 

5. Yisheng Song, Changan Tian, An explicit iteration for zeros of accretive operators,  Applied Mathematics and Computation, Volume 233, 1 May 2014, Pages 369–376 PDF

6. Yisheng Song, Liqun Qi, Positive eigenvalue-eigenvector of nonlinear positive mappings, Frontiers of Mathematics in China 2014, 9(1): 181–199.PDF

7. Hongjun Wang, Yisheng Song, An iteration method for zeros of accretive operators in Banach spaces,  Journal of Nonlinear and Convex Analysis Volume 15, Number 5, August 2014,  pp. 967-978 PDF

8. Hongjun Wang, Yisheng Song, Xinwen Ma, Strong convergence for the Mann iteration of strict pseudocontraction. Fixed Point Theory 15 (2014), no. 2, 603–608PDF

9.  Shenglong Hu, Liqun Qi, Yisheng Song and Guofeng Zhang, “Geometric measure of entanglement of multipartite mixed states”, International Journal of Software and Informatics 8 (2014) 317-326.PDF

2013

1. Yisheng Song, Liqun Qi, Spectral properties of positively homogeneous operators induced by higher order tensors,  SIAM Journal on Matrix Analysis and Applications, 2013, Vol. 34, No. 4 : pp. 1581-1595. PDF

2. Chang'An Tian, Yisheng Song, Strong convergence of A Regularization Method for Rockafellar's Proximal Point Algorithm,  Journal of Global Optimization  April 2013, Volume 55, Issue 4, pp 831-837 PDF

3. Shenglong Hu, Guoyin Li, Liqun Qi, Yisheng Song，Finding the Maximum Eigenvalue of Essentially Nonnegative Symmetric Tensors via Sum of Squares Programming，Journal of Optimization Theory and Applications， September 2013, Volume 158, Issue 3, pp 717-738 PDF

4. Gaohang Yu, Shanzhou Niu, Jianhua Ma and Yisheng Song, An Adaptive Prediction-Correction Method for Solving Large-Scale Nonlinear Systems of Monotone Equations with Applications,Abstract and Applied Analysis Volume 2013, Article ID 619123, 13 pagesPDF http://dx.doi.org/10.1155/2013/619123

2012

1. Yisheng Song, Liqun Qi, The existence and uniqueness of eigenvalue for monotone homogeneous mapping pairs,  Nonlinear Analysis Series A: Theory, Methods & Applications, Volume 75, Issue 13, (September 2012)  Pages 5283-5293. PDF

2. Qingnian Zhang, Yisheng Song, Halpern type proximal point algorithm of accretive operators, Nonlinear Analysis: Theory, Methods & Applications, Volume 75, Issue 4, March 2012, Pages 1859-1868. PDF

3. Yisheng Song, Qingnian Zhang, Proximal algorithms for a class of mixed equilibrium problems, Fixed Point Theory and Applications, 2012, 2012:166 (2 October 2012). PDF

2011

1. Xinkuan Chai, Yisheng Song, Convergence theorem for an iterative algorithm of strict pseudocontraction,  Fixed Point Theory and Applications, 2011, 2011:95(6 December 2011). PDF

2. Hongjun Wang, Yisheng Song, An iteration schemes for nonexpansive mappings and variational inequalities, Bulletin of the Korean Mathematical Society, 48 (2011), No. 5, pp. 991-1002. PDF

3. Yisheng Song and Yeol Je Cho, Some Notes on Ishikawa Iteration for Multi-valued Mappings, Bulletin of the Korean Mathematical Society, 48 (2011), No. 3, pp. 575-584. PDF

4. Qingnian Zhang, Yisheng Song, Halpern iteration of Cesàro means for asymptotically nonexpansive mappings,  ScienceAsia 37(2) (2011): 145–151. PDF

5. Yisheng Song, Iterative solutions for zeros of multivalued accretive operators, Mathematische Nachrichten (Math. Nachr.) Vol. 284, Issue 2-3/2011, page 370-380.PDF

6. Yisheng Song, Qingchun Li, Successive Approximations For Quasi-Firmly Type Nonexpansive Mappings, Mathematical Communications, 16(2011), 251-264.PDF

7. Xinkuan Chai, Yisheng Song, New iteration algorithms for an asymptotically nonexpansive mapping, Journal of Applied Mathematics and Computing, Volume 35, Numbers 1-2, 2011,351-361. PDF

2010

1. Yisheng Song, Jung Im Kang, and Yeol Je Cho, On iterations methods for zeros of accretive operators in Banach spaces, Applied Mathematics and Computation,216 (2010) 1007-1017. PDF

2. Yisheng Song, Xiao Liu, Iterative algorithms for a countable family of nonexpansive mappings, Journal of Concrete and Applicable Mathematics VOL. 8, NO. 4, 2010, 645-655. PDF

3. Yisheng Song, Mann iteration of Ces\`{a}ro means for asymptotically non-expansive mappings, Nonlinear Analysis: Theory, Methods and Applications, Volume 72, Issue 1, 1 January 2010, Pages 176-182. PDF

4. Xinkuan Chai, Bo Li, Yisheng Song, Strong and Weak Convergence of the Modified Proximal Point Algorithms in Hilbert Space, Fixed Point Theory and Applications, 2010, 2010:240450 (12 January 2010)  PDF

2009

1. Yisheng Song, ChangAn Tian, Modified Halpern iteration of asymptotically non-expansive mappings, Bulletin of the Iranian Mathematical Society, 2009, Volume 35, Issue 2, 229--254. PDF

2. Yisheng Song, Strong convergence of viscosity approximation methods with strong pseudocontraction for Lipschitz pseudocontractive mappings, Positivity  Volume 13, Number 4, 2009, 643-655. PDF 

3. Yisheng Song, Haiying Li, Strong Convergence of Iterative Sequences for Nonexpansive Mappings, Applied Mathematics Letters, 22 (2009) 1500--1507  PDF

4. Yisheng Song, Xinkuan Chai, Halpern iteration for firmly type nonexpansive mappings, Nonlinear Analysis: Theory, Methods and Applications  Volume 71, Issue 10, 15 November 2009, Pages 4500-4506.   PDF

5. Yisheng Song and Yeol Je Cho, Iterative approximations for multivalued nonexpansive mappings in reflexive Banach spaces, Math. Inequal. Appl.  Volume 12, Number 3 (2009), 611–624.  PDF

6. Yisheng Song and Changsen Yang, Solving variational inequality with weak contraction using viscosity approximation methods, Acta Mathematica Scientia (Series A), 2009,29A(3):656–668  PDF

7. Yisheng Song, Xiao Liu, Convergence comparison of several iteration algorithms for the common fixed point problems,  Fixed Point Theory and Applications, Volume 2009 (2009), Article ID 824374, 13 pages.  PDF

8. Yisheng Song, Iterative convergence to Cesaro means for continuous pseudocontractive mappings, Nonlinear Analysis: Theory, Methods and Applications  Volume 71, Issues 7-8, 1 October 2009-15 October 2009, Pages 2792-2800  PDF

9. Yisheng Song and Yuchun Zheng, Strong convergence of iteration algorithms for a countable family of nonexpansive mappings, Nonlinear Analysis: Theory, Methods and Applications Volume 71, Issues 7-8, 1 October 2009-15 October 2009, Pages 3072-3082  PDF

10. Yisheng Song, Approximating curves for nonexpansive mappings and accretive operators, Applicable Analysis  Volume 88, Issue 2 February 2009 , pages 215 -229   PDF

11. Qingnian Zhang and Yisheng Song, Iterative construction for common fixed points of  finitely many  nonexpansive mappings, Nonlinear Analysis: Theory, Methods and Applications  Volume 71, Issues 5-6, 1 September 2009-15 September 2009, Pages 1850-1856. PDF

12.  Yisheng Song, Equivalent theorems of the convergence between proximal-type algorithms, Nonlinear Analysis: Theory, Methods and Applications, Volume 71, Issues 1-2, 1 July 2009-15 July 2009, Pages 293-300.  PDF

13.  Yisheng Song and Yeol Je Cho, Averaged iterates for non-expansive nonself-mappings in Banach spaces, Journal of Computational Analysis and Applications, 11(3)(2009),  451– 460.  PDF

14. Yisheng Song, An iterative process for a finite family of pseudocontractive mappings, Acta Mathematica Sinica, English Series, 25(2)(2009), 293–298. PDF

15. Yeol Je Cho and Yisheng Song, Viscosity approximation for Solutions of Fixed Points and Variational Solutions for Pseudocontractions in Banach Spaces, Dynamics of Continuous, Discrete and Impulsive Systems, Series A: Mathematical Analysis 16 (2009) 273-285.  PDF

16. Yisheng Song, New iterative algorithms for zeros of accretive operators, Journal of the Korean Mathematical Society, 46 (2009), No. 1, pp. 83-97. PDF

17. Yisheng Song and Hongliang Zuo, Strong convergence theorems for finitely many non-expansive mappings , Nonlinear Analysis: Theory, Methods and ApplicationsVolume 70, Issue 4, 15 February 2009, Pages 1797-1802. PDF

18. Yisheng Song and Hongjun Wang, Convergence of iterative algorithms for multivalued mappings in Banach spaces, Nonlinear Analysis: Theory, Methods and Applications Volume 70, Issue 4, 15 February 2009, Pages 1547-1556. PDF

19. Yisheng Song and Changsen Yang, A note on a Paper " A Regularization Method for the Proximal Point Algorithm", Journal of Global Optimization. Volume 43, Number 1, January 2009, 171-174. PDF

20. Qingnian Zhang and Yisheng Song, Fixed point theory for generalized $\varphi-$weak contractions, Applied Mathematics Letters, Volume 22, Issue 1, January 2009, Pages 75-78 . PDF.

2008

1. Yisheng Song, Coincidence points of weakly compatible mappings, Bulletin of the Korean Mathematical Society 45 (2008), No. 4, pp. 607–614. PDF

2. Yisheng Song, Strong convergence of averaged iteration for asymptotically non-expansive mappings, Applied Mathematics and Computation, 204(2008) 854–861. PDF

3. Yisheng Song and Rudong Chen, Weak and strong convergence of Mann's-type iterations for a countable family of nonexpansive mappings, Journal of the Korean Mathematical Society 45 (2008), No. 5, pp. 1393--1404 PDF

4. Yisheng Song, New Strong Convergence Theorems for Nonexpansive Nonself-Mappings without Boundary Conditions, Computers and Mathematics with Applications. 56 (2008), 1473-1478. PDF

5. Yisheng Song and Rudong Chen, Strong convergence of an iterative method for non-expansive mappings, Mathematische Nachrichten (Math. Nachr.) 281, No. 8, 1196--1204 (2008)  PDF

6. Yisheng Song and Hongjun Wang, Erratum to "Mann and Ishikawa iterative processes for multivalued mappings in Banach spaces [Computers and Mathematics with Applications, 54(2007) 872-877]", Computers and Mathematics with Applications. Volume 55, Issue 12, June 2008, Pages 2999-3002.  PDF

7. Yu Miao and Yisheng Song, Weak and strong convergence of a new scheme for two nonexpansive mappings, Applicable Analysis, Vol. 87, No. 5,May 2008, 567--574. PDF

8. Yisheng Song and Xinkuan Chai, Strong convergence theorems of viscosity approximation methods for generalized Lipschitz pseudocontractiive mappings, Acta Mathematica Sinica, Chinese Series 2008, No. 51(3), 501-508.  PDF

9. Yisheng Song, A new sufficient condition for the strong convergence of Halpern type iterations, Applied Mathematics and Computation Volume 198, Issue 2, 1 May 2008, Pages 721-728. PDF

10. Yisheng Song, A note on a Paper "A new iteration process for generalized Lipschitz pseudo-contractive and generalized Lipschitz accretive mappings", Nonlinear Analysis: Theory, Methods and Applications Vol 68/10, 2008, pp 3047-3049. PDF

11. Yisheng Song and Sumei Xu, Strong convergence theorems for nonexpansive semigroup in Banach spaces, Journal of Mathematical Analysis and Application, 2008, Vol 338/1 pp. 152-161. PDF

2007

1. Yisheng Song, Iterative approximation to common fixed points of a countable family of nonexpansive mappings, Applicable Analysis Vol. 86, No. 11, November 2007, 1329-1337.  PDF

2. Yisheng Song, Iterative selection methods for the common fixed point problems in a Banach space, Applied Mathematics and Computation,Vol 193/1, 2007, pp 7-17.  Pdf

3. Yisheng Song, Coincidence Points for Noncommuting f-Weakly Contractive Mappings, International Journal of Computational and Applied Mathematics (IJCAM), Volume 2 Number 1 (2007), pp. 51-57. PDF

4. Yisheng Song, On a Mann type implicit iteration process for continuous pseudo-contractive mappings, Nonlinear Analysis: Theory, Methods and Applications, 67 (2007) 3058-3063.  PDF

5. Yisheng Song and Sumei Xu, A Note on Common Fixed-Points for Banach Operator Pairs, International Journal of Contemporary Mathematical Sciences Vol. 2, 2007, no. 24, 1163 - 1166. PDF

6. Yisheng Song, Common fixed points and invariant approximations for generalized(f, g)-nonexpansive mappings, Communications in Mathematical Analysis 2(2007), No.2, 17-26. Pdf

7. Yisheng Song, Strong convergence of an iterative methods for continuous pseudocontractive mapping, JP Journal of Fixed Point Theory and Applications 2(1)(2007) 1-9. PDF

8. Yisheng Song and Rudong Chen, Convergence theorems of iterative algorithms for continuous pseudocontractive mappings, Nonlinear Analysis: Theory, Methods and Applications, Volume 67, Issue 2, 15 July 2007, Pages 486-497. PDF

9. Yisheng Song and Rudong Chen, Viscosity approximative methods to Cesaro means for non-expansive mappings, Applied Mathematics and Computation 186 (2007) 1120-1128. PDF

10. Shengju Yang and Yisheng Song, Iterative Approximation to Common Fixed Points of Two Nonexpansive Mappings in Banach Spaces, Applied Mathematical Sciences, Vol. 1, 2007, no. 3, 97 -108.  PDF

11. Yisheng Song and Rudong Chen, Iterative approximation to common fixed points of nonexpansive mapping sequences in reflexive Banach spaces, Nonlinear Analysis: Theory, Methods and Applications, 66 (2007) 591-603.  PDF

12. Yisheng Song, Rudong Chen and Haiyun Zhou, Viscosity approximation methods for nonexpansive mapping sequences in Banach spaces, Nonlinear Analysis: Theory, Methods and Applications,66 (2007) 1016-1024.  PDF

13. Yisheng Song and Qingchun Li, Viscosity approximation for nonexpansive nonself-mappings in reflexive Banach spaces, J. of Systems Science and Mathematical Science 27(4) (2007, 8), 481-487. PDF

14. Yanrong Yu and Yisheng Song, Iterative approximation of fixed points for asymptotically nonexpansive mappings in uniformly convex Banach spaces，Mathematics in Practice and Theory，Vol.37, 2007, No. 19, 144-149.  PDF

2006

1. Yisheng Song and Rudong Chen, Viscosity approximation methods for nonexpansive nonself-mappings, J. Math. Anal. Appl.,321（2006）316-326.  PDF

2. Yisheng Song and Rudong Chen, Strong convergence theorems on an iterative method for a family of finite nonexpansive mappings, Applied Mathematics and Computation, 180 (2006) 275-287. PDF.

3. Yisheng Song and Rudong Chen, An approximation method for continuous pseudocontractive mappings, J. of Inequal. and Appl. volume 2006, Article ID 28950, 1-9. PDF

4. Rudong Chen, Yisheng Song and Haiyun Zhou, Convergence Theorems for Implicit Iteration Process for a Finite Family of Continuous Pseudocontractive Mappings, J. Math. Anal. Appl. 314(2006),701-709. PDF

5. Yanrong Yu, Yisheng Song and Rudong Chen, An implicit iteration process for a finite family of strictly pseudocontractive mappings of Browder-Petryshyn type, JP Journal of Fixed Point Theory and Applications, 1(2006),27-41. PDF

6. Rudong Chen and Yisheng Song, VISCOSITY APPROXIMATION METHODS FOR STRICTLY PSEUDOCONTRACTIVE MAPPINGS OF BROWDER-PETRYSHYN TYPE,J. Sys. Sci. & Math. Scis. 26(6) (2006, 12), 651-657. PDF

7. Ru Dong CHEN, Yi Sheng SONG and Haiyun Zhou, Viscosity Approximation Methods for Continuous Pseudocontractive Mappings, ACTA MATHEMATICA SINICA, Chinese Series, Vol.49, No.6, 2006,1275-1278. PDF

8. Rudong Chen, Peikee Lin and Yisheng Song， An approximation method for strictly pseudocontractive mappings, Nonlinear Analysis: Theory, Methods and Applications，64(2006), 2527-2535.  PDF