COLLECTIVELY FIXED POINT THEOREM AND ABSTRACT ECONOMY ING-CONVEX SPACES

DOI10.1081/NFA-120016269zbMath1024.54029MaRDI QIDQ4806001

Xie Ping Ding, Jong Yeoul Park

Publication date: 13 July 2003

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

zbMATH Keywords

continuous selection theoremqualitative gamesnoncompact \(G\)-convex spaces

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point and coincidence theorems (topological aspects) (54H25) General equilibrium theory (91B50)

Related Items (8)

Solutions of system of generalized vector quasi-equilibrium problems in locally \(G\)-convex uniform spaces ⋮ Some fixed-point theorems and minimax inequalities in \(FC\)-space ⋮ Maximal elements of \(G_{\mathrm{KKM}}\)-majorized mappings in product \(FC\)-spaces and applications. I ⋮ Continuous selection, collectively fixed points and system of coincidence theorems in product topological spaces ⋮ A fixed-component point theorem and applications ⋮ Collectively fixed-point theorems in noncompact \(G\)-convex spaces ⋮ Continuous selections, collectively fixed points and weak Knaster-Kuratowski-Mazurkiewicz mappings in optimization ⋮ Continuous selection theorems for Fan-Browder mappings in topological spaces and their applications

Cites Work

• Some properties of convex sets related to fixed point theorems
• On the generalized quasi-variational inequality problems
• Equilibria of non-compact generalized games with \( L^*\)-majorized preference correspondences
• Generalizations of the FKKM theorem and the Ky Fan minimax inequality, with applications to maximal elements, price equilibrium, and complementarity
• On equilibria of non-compact generalized games
• Abstract convexity and fixed points
• On some generalized quasi-equilibrium problems
• Foundations of the KKM theory on generalized convex spaces
• Coincidence theorems for admissible multifunctions on generalized convex spaces
• Coincidence theorems in topological spaces and their applications
• A fixed point theorem and equilibrium point of an abstract economy
• Coincidence theorems, minimax theorems, and variational inequalities
• Continuous Selection Theorems in Generalized Convex Spaces

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