Existence conditions in symmetric multivalued vector quasiequilibrium problems

Authors: Lâm Quốc Anh, Phan Quốc Khánh,

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Publisher, magazine: ,

Publication year: 2007

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Abstract

We consider symmetric multivalued vector quasiequilibrium problems in topological vector spaces. Sufficient conditions for the solution existence are established under relaxed assumptions, which are shown by examples to be essential, easy to check and more advantageous than recent known results. Applications to lower and upper bounded quasiequilibrium problems and to coincidence point problems are given.

Tags: symmetric quasiequilibrium problems; upper semicontinuity; 0-level \(C\)-quasiconvexity relative to a set; lower and upper bounded quasiequilibrium problems; coincidence points