Generalized KKM theorems on hyperconvex metric spaces and some applications

DOI10.1016/J.NA.2007.05.039zbMath1171.47042OpenAlexW2077449509MaRDI QIDQ939415

Tong-Huei Chang, Chin-Yueh Peng, Chi-Ming Chen

Publication date: 22 August 2008

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.2007.05.039

zbMATH Keywords

KKM theoremcoincidence theoremhyperconvex metric spaceminimax inequality theoremvariational inequality theorem

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed points and coincidences in algebraic topology (55M20)

Related Items (3)

Weak KKM set-valued mappings in hyperconvex metric spaces ⋮ Metric fixed point theory on hyperconvex spaces: recent progress ⋮ Unnamed Item

Cites Work

• Extension of uniformly continuous transformations and hyperconvex metric spaces
• A generalization of Tychonoff's fixed point theorem
• Matching theorems, fixed point theorems and minimax inequalities in topological ordered spaces
• Generalized \(R\)-KKM type theorems in topological spaces with applications
• Some properties of convex sets related to fixed point theorems
• The characterization of generalized metric KKM mappings with open values in hyperconvex metric spaces and some applications
• KKM and Ky Fan theorems in hyperconvex metric spaces
• KKM mappings in metric spaces
• KKM property and fixed point theorems
• Fixed point theorems of upper semicontinuous multivalued mappings with applications in hyperconvex metric spaces
• The Knaster--Kuratowski and Mazurkiewicz theory in hyperconvex metric spaces and some of its applications
• Fixed point theorems in hyperconvex metric spaces

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