Intersection theorems, coincidence theorems and maximal-element theorems in GFC-spaces

DOI10.1080/02331930903500324zbMath1185.49007OpenAlexW1977542205MaRDI QIDQ3553756

Phan Quoc Khanh, Nguyen Hong Quan

Publication date: 21 April 2010

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331930903500324

zbMATH Keywords

GFC-spacesbetter admissible mappingscompact closednesscompact opennessgeneralized \(T\)-KKM mappings

Mathematics Subject Classification ID

Variational inequalities (49J40) Fixed-point theorems (47H10) Set-valued operators (47H04) Fixed-point and coincidence theorems (topological aspects) (54H25) General equilibrium theory (91B50)

Related Items (21)

A unified study of existence theorems in topologically based settings and applications in optimization ⋮ General existence theorems, alternative theorems and applications to minimax problems ⋮ Topologically-based characterizations of the existence of solutions of optimization-related problems ⋮ A new fixed point theorem and applications ⋮ An intersection theorem for set-valued mappings ⋮ Existence results for general inclusions using generalized KKM theorems with applications to minimax problems ⋮ A fixed-component point theorem and applications ⋮ Existence results for -quasimonotone equilibrium problems in convex metric spaces ⋮ Weak KKM theorems in generalized finitely continuous space with applications ⋮ Continuous selections, collectively fixed points and weak Knaster-Kuratowski-Mazurkiewicz mappings in optimization ⋮ Fixed Points, Continuous Selections, and Existence of Solution of Optimization-Related Problems ⋮ General theorems of the Knaster-Kuratowski- Mazurkiewicz type and applications to the existence study in optimization ⋮ Weak finite intersection characterizations of existence in optimization ⋮ A topological characterization of the existence of fixed points and applications ⋮ On topological existence theorems and applications to optimization-related problems ⋮ Generic stability and essential components of generalized KKM points and applications ⋮ Alternative principles and their applications ⋮ Generalized KKM-type theorems in GFC-spaces and applications ⋮ Versions of the Weierstrass Theorem for Bifunctions and Solution Existence in Optimization ⋮ On the existence of solutions to quasivariational inclusion problems ⋮ Some existence theorems in nonlinear analysis for mappings on GFC-spaces and applications

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