Scientific reports:
2013: Scientific report (Romanian), Scientific report (English)
2014: Scientific report (Romanian), Scientific report (English)
2015: Scientific report (Romanian), Scientific report (English)
Publications:
L. Leuştean, A. Nicolae, Effective results on compositions of nonexpansive mappings, J. Math. Anal. Appl., 410 (2014), 902-907.
R. Espínola, A. Nicolae, Continuous selections of Lipschitz extensions in metric spaces, Rev. Mat. Complut., 28 (2015), 741-759.
D. Ariza-Ruiz, G. López-Acedo, A. Nicolae, The asymptotic behavior of the composition of firmly nonexpansive mappings, J. Optim. Theory Appl., 167 (2015), 409-429.
L. Leuştean, A. Nicolae, A note on an ergodic theorem in weakly uniformly convex geodesic spaces, Arch. Math. (Basel), 105 (2015), 467-477.
A. Kristály, C. Li, G. López-Acedo, A. Nicolae, What do 'convexities' imply on Hadamard manifolds?, J. Optim. Theory Appl., 170 (2016), 1068-1074.
L. Leuştean, A. Nicolae, Effective results on nonlinear ergodic averages in CAT(k) spaces, Ergodic Theory Dynam. Systems, 36 (2016), 2580-2601.
L. Leuştean, A. Nicolae, A note on an alternative iterative method for nonexpansive mappings, J. Convex Anal., 24 (2017), 501-503.
U. Kohlenbach, L. Leuştean, A. Nicolae, Quantitative results on Fejér monotone sequences, Comm. Contemp. Math., 20 (2018), 1750015, 42 pp.
Conference and seminar talks:
2013:
Minimization and maximization problems between two sets in geodesic spaces, Seminar of Differential Geometry, Simion Stoilow Institute of Mathematics of the Romanian Academy, November 4, 2013.
2014:
Alexandrov spaces and extensions of Lipschitz mappings, Workshop on Metric Fixed Point Theory, January 30 - February 2, 2014, Malaga, Spain.
The averaged alternating reflection method for solving the convex feasibility problem in geodesic spaces, Function Theory on Infinite Dimensional Spaces XIII, February 4-7, 2014, ICMAT, Madrid, Spain.
Asymptotic behavior of averaged and firmly nonexpansive mappings in geodesic spaces, IRTG 1529 Research Seminar on Proof Mining and Nonlinear Analysis, February 26-28, 2014, TU Darmstadt, Germany.
Continuous selections of Lipschitz extensions in metric spaces, Seminar of Mathematical Analysis, Institute of Mathematics of the University of Seville, Spain, June 12, 2014.
Finding Lipschitz extensions continuously, Colloque de Géométrie, September 7-11, 2014, Université de Haute Alsace, Mulhouse, France.
2015:
Chebyshev sets in geodesic spaces, Seminar of Mathematical Analysis, Institute of Mathematics of the University of Seville, Spain, February 16, 2015.
The asymptotic behavior of the composition of firmly nonexpansive mappings, International Conference on Nonlinear Operators, Differential Equations and Applications, July 14-17, 2015, Babes-Bolyai University, Cluj-Napoca, Romania.
The asymptotic behavior of the composition of firmly nonexpansive mappings, 11th International Conference on Fixed Point Theory and its Applications, July 20-24, 2015, Galatasaray University, Istanbul, Turkey.
Continuous selections of Lipschitz extensions in metric spaces, Young Researchers' Conference of the Royal Spanish Mathematical Society, September 7-11, 2015, University of Murcia, Spain.
Effective results for compositions of firmly nonexpansive mappings in CAT(0) spaces, Seminar of Mathematical Analysis, Institute of Mathematics of the University of Seville, Spain, September 22, 2015.
Research stages:
2014:
Institute of Mathematics of the University of Seville, Spain: January 10 - February 3, May 3 - June 17, September 12-25, 2014.
2015:
Institute of Mathematics of the University of Seville, Spain: February 3-19, September 2-6, September 12-24, 2015.
Research Term on Analysis and Geometry in Metric Spaces, ICMAT, Madrid, Spain: May 3-17, 2015.