\(W\)-\(G\)-\(F\)-\(KKM\) mapping, intersection theorems and minimax inequalities in \(FC\)-space

DOI10.1016/j.jmaa.2007.01.040zbMath1123.49002OpenAlexW2145741061MaRDI QIDQ996927

Cao-Zong Cheng, Gu-Sheng Tang, Qing-Bang Zhang

Publication date: 19 July 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.01.040

zbMATH Keywords

intersection theoremminimax inequalitymatching theorem\(KKM\) theorem

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Set-valued operators (47H04) Axiomatic and generalized convexity (52A01) Fixed-point and coincidence theorems (topological aspects) (54H25) Existence of solutions for minimax problems (49J35)

Related Items

A new fixed point theorem and applications ⋮ Some new coincidence theorems in product GFC-spaces with applications ⋮ Weak KKM theorems in generalized finitely continuous space with applications ⋮ Continuous selections, collectively fixed points and weak Knaster-Kuratowski-Mazurkiewicz mappings in optimization ⋮ Remarks on weakly KKM maps in abstract convex spaces ⋮ Generalized convex spaces, \(L\)-spaces, and \(FC\)-spaces

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