Geometric Properties, Minimax Inequalities, and Fixed Point Theorems on Convex Spaces
DOI10.2307/2160419zbMath0806.47054OpenAlexW4245726675MaRDI QIDQ4300962
Jong-Sook Bae, Hoo Kyung Kang, Sehie Park
Publication date: 16 February 1995
Full work available at URL: https://doi.org/10.2307/2160419
minimax inequalitiesselection theoremexistence of maximizable quasiconcave functionsfixed point theorems for upper hemicontinuous multifunctionsKy Fan type geometric property of convex sets
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Existence of solutions for minimax problems (49J35) Fixed points and coincidences in algebraic topology (55M20) Optimality conditions for minimax problems (49K35) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)
Related Items (12)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On general minimax theorems
- A generalization of Tychonoff's fixed point theorem
- On the use of KKM multifunctions in fixed point theory and related topics
- Existence of maximal elements and equilibria in linear topological spaces
- Some properties of convex sets related to fixed point theorems
- Coincidences for set-valued maps and minimax inequalities
- Some general theorems in coincidence theory. I
- Minimax and fixed point theorems
- A new generalization of the Schauder fixed point theorem
- Fixed point theorems for paracompact convex sets (II)
- Fixed points of weakly inward multis
- Coincidence Theorem and Saddle Point Theorem
- A Further Generalization of the Knaster-Kuratowski-Mazurkiewicz Theorem
- The coincidence problem for compositions of set-valued maps
- An existence theorem for quasiconcave functions with applications
- Fixed points of compact multifunctions
- Existence of maximizable quasiconcave functions on paracompact convex spaces
This page was built for publication: Geometric Properties, Minimax Inequalities, and Fixed Point Theorems on Convex Spaces