Generalized 2-KKM theorems and their applications in hyperconvex metric spaces

DOI10.1016/j.na.2007.06.012zbMath1151.54339OpenAlexW2045118145MaRDI QIDQ943662

Jin-Hsiang Chang, Chi-Ming Chen, Tong-Huei Chang

Publication date: 10 September 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.2007.06.012

zbMATH Keywords

fixed pointvariational inequalityminimax inequalityhyperconvex metric spacegeneralized 2-KKM map

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) 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
• KKM and Ky Fan theorems in hyperconvex metric spaces
• The Knaster--Kuratowski and Mazurkiewicz theory in hyperconvex metric spaces and some of its applications