Fixed point theorems for compact multimaps on almost \(\varGamma\)-convex sets in generalized convex spaces

DOI10.1016/J.NA.2005.11.036zbMath1127.54018OpenAlexW1989325145MaRDI QIDQ858664

Young-Ye Huang, Tian-Yuan Kuo, Jyh-Chung Jeng

Publication date: 11 January 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.11.036

zbMATH Keywords

minimaxfixed pointsgeneralized convexityKKM-theory

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Set-valued operators (47H04) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (4)

Coincidence theorems and minimax inequalities in abstract convex spaces ⋮ Fixed point theorems for condensing multimaps on locally \(G\)-convex spaces ⋮ Alternative principles and minimax inequalities in \(G\)-convex spaces ⋮ Fixed Points, Continuous Selections, and Existence of Solution of Optimization-Related Problems

Cites Work

• Unnamed Item
• A generalization of Tychonoff's fixed point theorem
• On the use of KKM multifunctions in fixed point theory and related topics
• Contractibility and generalized convexity
• Generalized KKM theorem and variational inequalities
• Coincidence theorems for admissible multifunctions on generalized convex spaces
• Fixed point theorems for multifunctions having KKM property on almost convex sets
• Fixed points for Kakutani factorizable multifunctions
• Coincidences and fixed points in locally G-convex spaces
• A Further Generalization of the Kakutani Fixed Point Theorem, with Application to Nash Equilibrium Points
• Fixed points of compact multifunctions
• Fixed point theorems in locally \(G\)-convex spaces

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