Generalized Stampacchia Vector Variational-Like Inequalities and Vector Optimization Problems Involving Set-Valued Maps

Yanfei Chai, Sanyang Liu and Guotao Wang

Abstract and Applied Analysis, 2014, vol. 2014, 1-8

Abstract:

We first obtain that subdifferentials of set-valued mapping from finite-dimensional spaces to finite-dimensional possess certain relaxed compactness. Then using this weak compactness, we establish gap functions for generalized Stampacchia vector variational-like inequalities which are defined by means of subdifferentials. Finally, an existence result of generalized weakly efficient solutions for vector optimization problem involving a subdifferentiable and preinvex set-valued mapping is established by exploiting the existence of a solution for the weak formulation of the generalized Stampacchia vector variational-like inequality via a Fan-KKM lemma.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:948270

DOI: 10.1155/2014/948270

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