Variational-like inequalities for weakly relaxed \(\eta\)-\(\alpha\) pseudomonotone set-valued mappings in Banach space
type: Item
instance of: scholarly article
title: Variational-like inequalities for weakly relaxed \(\eta\)-\(\alpha\) pseudomonotone set-valued mappings in Banach space
zbMATH Open document ID: 1355.49007
DOI: 10.1155/2016/4760839
author: Syed Shakaib Irfan
author: M. Firdosh Khan
published in: International Journal of Analysis
publication date: 2017-01-05T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 49J53
Mathematics Subject Classification ID: 47J20
Mathematics Subject Classification ID: 47H04
Mathematics Subject Classification ID: 47H05
zbMATH DE Number: 6670776
zbMATH Keywords: variational-like inequalities
zbMATH Keywords: set-valued mappings
zbMATH Keywords: pseudomonotonicity
Wikidata QID: Q59123914
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/4760839
OpenAlex ID: W2510693436
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description: scientific article; zbMATH DE number 6670776