Existence Solutions of Vector Equilibrium Problems and Fixed Point of Multivalued Mappings

Kanokwan Sitthithakerngkiet and Somyot Plubtieng

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: Let K be a nonempty compact convex subset of a topological vector space. In this paper‐sufficient conditions are given for the existence of x ∈ K such that F(T)∩VEP(F) ≠ ∅, where F(T) is the set of all fixed points of the multivalued mapping T and VEP(F) is the set of all solutions for vector equilibrium problem of the vector‐valued mapping F. This leads us to generalize and improve some existence results in the recent references.

Date: 2013
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https://doi.org/10.1155/2013/952021

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:952021

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