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, issue 1

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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https://doi.org/10.1155/2013/376829

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:376829

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