Vector Variational-Like Inequalities with Generalized Semimonotone Mappings

Suhel Ahmad Khan

International Journal of Analysis, 2013, vol. 2013, 1-7

Abstract:

We introduce the concepts of generalized relaxed monotonicity and generalized relaxed semimonotonicity. We consider a class of generalized vector variationa-llike inequality problem involving generalized relaxed semimonotone mapping. By using Kakutani-Fan-Glicksberg’s fixed-point theorem, we prove the solvability for this class of vector variational-like inequality with relaxed monotonicity assumptions. The results presented in this paper generalize some known results for vector variational inequality in recent years.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:ijanal:762380

DOI: 10.1155/2013/762380

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