On the Solution Existence of Variational-Like Inequalities Problems for Weakly Relaxed Monotone Mapping

Marwan Amin Kutbi and Wutiphol Sintunavarat

Abstract and Applied Analysis, 2013, vol. 2013, 1-8

Abstract:

We introduce two new concepts of weakly relaxed monotone mappings and weakly relaxed semimonotone mappings. Using the KKM technique, the existence of solutions for variational-like problems with weakly relaxed monotone mapping in reflexive Banach spaces is established. Also, we obtain the existence of solution for variational-like problems with weakly relaxed semimonotone mappings in arbitrary Banach spaces by using the Kakutani-Fan-Glicksberg fixed-point theorem.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:207845

DOI: 10.1155/2013/207845

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