Approximate fixed point theorems for the class of almost S-KKM\(_{\mathcal C}\) mappings in abstract convex uniform spaces

DOI10.1155/2009/791514zbMath1171.54320OpenAlexW2084106896WikidataQ59248560 ScholiaQ59248560MaRDI QIDQ1030584

Yueh-Hung Huang, Tong-Huei Chang, Chi-Ming Chen

Publication date: 2 July 2009

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/55935

zbMATH Keywords

fixed pointabstract convexityapproximate fixed pointal-S-KKM\(_{\mathcal C}(X,Y)\) familyalmost \(\Phi \)-spacesalmost \(S-KKM_{\mathcal C}\) property

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25)

Cites Work

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• A generalization of Tychonoff's fixed point theorem
• Contractibility and generalized convexity
• Fixed point theorems for the class S-KKM mappings in abstract convex spaces
• Abstract convexity and fixed points
• Comments on some fixed point theorems in hyperconvex metric spaces.
• KKM property and fixed point theorems
• The fixed point theory of multi-valued mappings in topological vector spaces
• Axiomatic convexity theory and relationships between the Carathéodory, Helly, and Radon numbers
• Abstract Convexity, Some Relations and Applications
• Fixed-point theorems for multifunctions in S-KKM class

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