Maximal elements of \(G_{\mathrm{KKM}}\)-majorized mappings in product \(FC\)-spaces and applications. I

DOI10.1016/j.na.2006.06.037zbMath1122.54021OpenAlexW2765663095MaRDI QIDQ881627

Xie Ping Ding

Publication date: 30 May 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.2006.06.037

zbMATH Keywords

equilibriummaximal elementgeneralized gameFC-spacefamily of \(G_{\text{KMM}}\)-majorized mappingsfamily of \(G_{\text{KMM}}\)-mappings

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) General equilibrium theory (91B50)

Related Items (10)

Collectively fixed point theorems in noncompact abstract convex spaces with applications ⋮ General existence theorems, alternative theorems and applications to minimax problems ⋮ New systems of generalized vector quasi-equilibrium problems in product \(FC\)-spaces ⋮ Systems of generalized quasi-variational inclusion (disclusion) problems in \(FC\)-spaces ⋮ Pareto equilibria for generalized constrained multiobjective games in \(FC\)-spaces without local convexity structure ⋮ Minimax inequalities and fixed points of expansive set-valued mappings with noncompact and nonconvex domains and ranges in topological spaces ⋮ Some maximal elements' theorems in \(FC\)-spaces ⋮ Generalized convex spaces, \(L\)-spaces, and \(FC\)-spaces ⋮ Some existence theorems in nonlinear analysis for mappings on GFC-spaces and applications ⋮ Fixed point theorems and existence of equilibrium points of noncompact abstract economies for \(\mathcal L_F^*\)-majorized mappings in FC-spaces

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