Existence Results for Nonsmooth Vector Quasi-Variational-Like Inequalities

Autor:	Mohammed Alshahrani, Qamrul Hasan Ansari, Suliman Al-Homidan
Jazyk:	angličtina
Rok vydání:	2013
Předmět:	Mathematics QA1-939
Zdroj:	Abstract and Applied Analysis, Vol 2013 (2013)
Druh dokumentu:	article
ISSN:	1085-3375 1687-0409
DOI:	10.1155/2013/376829
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/403f89b0086a4ecdacc8722313cb3453 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF