Collective fixed point theorem and coincidence theorems in \(FC\)-spaces

DOI10.1016/J.CAM.2008.07.027zbMath1157.54018OpenAlexW1972778795MaRDI QIDQ1004014

Hong-Xu Li, Rong-Hua He

Publication date: 2 March 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2008.07.027

zbMATH Keywords

minimax theoremintersection theorem\(FC\)-spacecoincidence theoremcollective fixed point theorem

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (1)

Random coincidence theorems and applications

Cites Work

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• Contractibility and generalized convexity
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• Collective fixed points and a system of coincidence theorems in product FC-spaces and applica\-tions
• Abstract convexity and fixed points
• Foundations of the KKM theory on generalized convex spaces
• Maximal element theorems in product \(FC\)-spaces and generalized games
• Transfer continuities, generalizations of the Weierstrass and maximum theorems: A full characterization
• KKM property and fixed point theorems
• Applications of the generalized Knaster-Kurakowski-Mazurkiewicz theorem to variational inequalities
• Pareto equilibria for constrained multiobjective games in locally \(L\)-convex spaces
• Coincidence theorems for admissible multifunctions on generalized convex spaces
• Another form of KKM type theorem and its applications on generalized convex spaces
• Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces
• Abstract convexity and generalizations of Himmelberg type fixed-point theorems

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