Existence Results for Nonsmooth Vector Quasi-Variational-Like Inequalities

Mohammed Alshahrani, Qamrul Hasan Ansari and Suliman Al-Homidan

Abstract and Applied Analysis, 2013, vol. 2013, 1-7

Abstract:

We introduce nonsmooth vector quasi-variational-like inequalities (NVQVLI) by means of a bifunction. We establish some existence results for solutions of these inequalities by using Fan-KKM theorem and a maximal element theorem. By using the technique and methodology adopted in Al-Homidan et al. (2012), one can easily derive the relations among these inequalities and a vector quasi-optimization problem. Hence, the existence results for a solution of a vector quasi-optimization problem can be derived by using our results. The results of this paper extend several known results in the literature.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:376829

DOI: 10.1155/2013/376829

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