Equilibrium existence theorems in KKM spaces

DOI10.1016/j.na.2007.10.058zbMath1163.47044OpenAlexW2050293408MaRDI QIDQ960199

Sehie Park

Publication date: 16 December 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.2007.10.058

zbMATH Keywords

fixed pointmaximal elementmultivalued mappingabstract convex spaceKKM spaceG-convex spacemap classes \(\mathfrak K, \mathfrak {KC}, \mathfrak{KD}\)

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Fixed-point theorems (47H10) Set-valued operators (47H04) General equilibrium theory (91B50) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)

Related Items (12)

Generalizations of the Nash equilibrium theorem in the KKM theory ⋮ Connectedness of approximate solutions set for vector equilibrium problems in Hausdorff topological vector spaces ⋮ Coincidence theorems and minimax inequalities in abstract convex spaces ⋮ Systems of generalized quasivariational inclusion problems with applications in \(L\Gamma \)-spaces ⋮ Generalized \(\mathcal C\)-concave conditions and their applications ⋮ Unnamed Item ⋮ The Fan minimax inequality implies the Nash equilibrium theorem ⋮ Remarks on weakly KKM maps in abstract convex spaces ⋮ Fixed point theorems and \(L^{*}\)-operators ⋮ Unnamed Item ⋮ The KKM principle in abstract convex spaces: equivalent formulations and applications ⋮ On the von Neumann-Sion minimax theorem in KKM spaces

Cites Work

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• SURFACES OF GENERAL TYPE WITH p_g= 1 AND q = 0
• ELEMENTS OF THE KKM THEORY ON CONVEX SPACES
• Fixed points of compact multifunctions
• Fixed point theorems in locally \(G\)-convex spaces

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