Variational-Like Inequalities for Weakly Relaxed η-α Pseudomonotone Set-Valued Mappings in Banach Space | Zendy

Syed Shakaib Irfan | Zendy; M. Firdosh Khan | Zendy

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Variational-Like Inequalities for Weakly Relaxed η-α Pseudomonotone Set-Valued Mappings in Banach Space

Author(s) -

Syed Shakaib Irfan,

M. Firdosh Khan

Publication year - 2016

Publication title -

international journal of analysis

Language(s) - English

Resource type - Journals

eISSN - 2314-4998

pISSN - 2314-498X

DOI - 10.1155/2016/4760839

Subject(s) - banach space , mathematics , variational inequality , set (abstract data type) , algorithm , discrete mathematics , computer science , programming language

We introduce and study variational-like inequalities for generalized pseudomonotone set-valued mappings in Banach spaces. By using KKM technique, we obtain the existence of solutions for variational-like inequalities for generalized pseudomonotone set-valued mappings in reflexive Banach spaces. The results presented in this paper are generalizations and improvements of the several well-known results in the literature

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