Full characterizations of minimax inequality, fixed point theorem, saddle point theorem, and KKM principle in arbitrary topological spaces-Reference-Cited by-同舟云学术

Full characterizations of minimax inequality, fixed point theorem, saddle point theorem, and KKM principle in arbitrary topological spaces

Published:2016-09-22 Issue:3 Volume:19 Page:1679-1693
ISSN:1661-7738
Container-title:Journal of Fixed Point Theory and Applications
language:en
Short-container-title:J. Fixed Point Theory Appl.

Author:

Tian Guoqiang^ORCID

Funder

National Natural Science Foundation of China (CN)

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology,Modelling and Simulation

Link

http://link.springer.com/article/10.1007/s11784-016-0314-z/fulltext.html

Reference52 articles.

1. Fan, K.: Minimax theorem. Proc. Nat. Acad. Sci. 39, 42–47 (1953)

2. Fan, K.: Minimax inequality and applications. In: Shisha, O. (eds.) Inequality, vol. III (pp. 103–113). Academic Press, New York (1972)

3. Fan, K.: Fixed point and related theorems for non-compact sets. In: Moeschlin, O., Pallaschke, D. (eds.) Game theory and related topics, pp. 151–156. North Holland, Amsterdam (1979)

4. Fan, K.: Some properties of convex sets related to fixed points theorems. Math. Ann. 266, 519–537 (1984)

5. Border, K.C.: Fixed point theorems with applications to economics and game theory. Cambridge University Press (1985)

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Necessary and sufficient conditions for solutions of the Ky Fan minimax inequality and the non-emptiness of fuzzy cores in economies;Fuzzy Sets and Systems;2023-09

2. A Discrete Characterization of the Solvability of Equilibrium Problems and Its Application to Game Theory;Axioms;2023-07-05

3. Minimax inequalities for functions with noncompact domain and diagonal GC-quasiconcavity and their applications;Filomat;2023

4. Local variational Probabilistic Minimax Active Learning;Expert Systems with Applications;2023-01

5. A minimax approach for inverse variational inequalities;Communications in Nonlinear Science and Numerical Simulation;2020-11