The 2-KKM property and its applications in hyperconvex metric spaces

DOI10.1016/J.NA.2009.01.037zbMath1166.54018OpenAlexW2046987143MaRDI QIDQ1030094

Chi-Ming Chen, Tong-Huei Chang

Publication date: 1 July 2009

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.2009.01.037

zbMATH Keywords

fixed point theoremhyperconvex metric spaceminimax inequality theoremvariational inequality theorem2-KKM mapping

Mathematics Subject Classification ID

Minimax problems in mathematical programming (90C47) Variational and other types of inequalities involving nonlinear operators (general) (47J20) Set-valued operators (47H04) Fixed-point and coincidence theorems (topological aspects) (54H25)

Cites Work

• Extension of uniformly continuous transformations and hyperconvex metric spaces
• A generalization of Tychonoff's fixed point theorem
• On the generalized quasi-variational inequality problems
• KKM and Ky Fan theorems in hyperconvex metric spaces
• Existence of solutions for quasi-equilibrium problems in noncompact topological spaces
• Generalized G-KKM theorems in generalized convex spaces and their applications
• KKM mappings in metric spaces
• Transfer continuities, generalizations of the Weierstrass and maximum theorems: A full characterization
• KKM property and fixed point theorems
• The Knaster--Kuratowski and Mazurkiewicz theory in hyperconvex metric spaces and some of its applications

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