Some applications of the KKM-mapping principle in hyperconvex metric spaces

DOI10.1016/j.na.2005.11.018zbMath1116.54023OpenAlexW2065118077MaRDI QIDQ860730

Le Anh Dung, Do Hong Tan

Publication date: 9 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.2005.11.018

zbMATH Keywords

admissible setfixed point theoremminimax theoremminimax inequalityhyperconvex metric spacemetrically quasiconvex (concave) function

Mathematics Subject Classification ID

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

Related Items (1)

Generalized 2-\(_gKKM\) property in a hyperconvex metric space and its applications

Cites Work

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• Extension of uniformly continuous transformations and hyperconvex metric spaces
• On general minimax theorems
• KKM and Ky Fan theorems in hyperconvex metric spaces
• The Knaster--Kuratowski and Mazurkiewicz theory in hyperconvex metric spaces and some of its applications
• The fixed point theory of multi-valued mappings in topological vector spaces

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