KKM type theorems and generalized vector equilibrium problems in noncompact FC-spaces

DOI10.1016/j.jmaa.2006.09.059zbMath1185.90204OpenAlexW2070848204MaRDI QIDQ878490

Ti Ming Ding, Xie Ping Ding

Publication date: 26 April 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.2006.09.059

zbMATH Keywords

generalized vector equilibrium problemKKM type theoremFC-spacetransfer compactly open-valued (closed-valued) mapping

Mathematics Subject Classification ID

Minimax problems in mathematical programming (90C47) Multi-objective and goal programming (90C29) Existence of solutions for minimax problems (49J35) Programming in abstract spaces (90C48) Existence theories for problems in abstract spaces (49J27)

Related Items

Order-preservation of solution correspondence for parametric generalized variational inequalities on Banach lattices, Coincidence theorems and minimax inequalities in abstract convex spaces, Existence results for general inclusions using generalized KKM theorems with applications to minimax problems, Fixed points and existence theorems of maximal elements with applications in \(FC\)-spaces, Some results for the family \(KKM(X,Y)\) and the \(\Phi\)-mapping in \(FC\)-spaces, Class \(\mathfrak A\)-\(\text{KKM}(X, Y, Z)\), general KKM type theorems, and their applications in topological vector space, Some new coincidence theorems in product GFC-spaces with applications, Weak-equilibrium problems in \(G\)-convex spaces, Solution of a class of equilibrium problems and variational inequalities in FC spaces, Remarks on weakly KKM maps in abstract convex spaces, \(W\)-\(G\)-\(F\)-\(KKM\) mapping, intersection theorems and minimax inequalities in \(FC\)-space, Existence results for generalized vector equilibrium problems with applications, Generalized KKM-type theorems in GFC-spaces and applications, Generalized convex spaces, \(L\)-spaces, and \(FC\)-spaces, Applications of order-theoretic fixed point theorems to discontinuous quasi-equilibrium problems

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