Mixed Variational-like Inequality Problems in Abstract Convex Spaces

P.K. Das and G.C. Nayak [3] introduced the concept of generalized variational like inequalities in H-spaces in the presence of T-η-invex function. There the existence theorems of mixed generalized variational like inequalities are studied in H-spaces and also in Riesz spaces in the presence of T-η-i...

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Main Author: Wanbok Lee
Format: Article
Language:English
Published: Erdal KARAPINAR 2020-06-01
Series:Results in Nonlinear Analysis
Subjects:
Online Access:https://dergipark.org.tr/en/download/article-file/1138886
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author Wanbok Lee
author_facet Wanbok Lee
author_sort Wanbok Lee
collection DOAJ
description P.K. Das and G.C. Nayak [3] introduced the concept of generalized variational like inequalities in H-spaces in the presence of T-η-invex function. There the existence theorems of mixed generalized variational like inequalities are studied in H-spaces and also in Riesz spaces in the presence of T-η-invex function. In the present note, we extend their results to partial KKM spaces, which contain H-spaces as very particular subclass.
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spelling doaj.art-6bc1bb0e9e5943638d0856d597caff2d2023-02-15T16:11:07ZengErdal KARAPINARResults in Nonlinear Analysis2636-75562636-75562020-06-01325967Mixed Variational-like Inequality Problems in Abstract Convex SpacesWanbok LeeP.K. Das and G.C. Nayak [3] introduced the concept of generalized variational like inequalities in H-spaces in the presence of T-η-invex function. There the existence theorems of mixed generalized variational like inequalities are studied in H-spaces and also in Riesz spaces in the presence of T-η-invex function. In the present note, we extend their results to partial KKM spaces, which contain H-spaces as very particular subclass.https://dergipark.org.tr/en/download/article-file/1138886abstract convex space(partial) kkm spaceriesz spaceuniqueness principle
spellingShingle Wanbok Lee
Mixed Variational-like Inequality Problems in Abstract Convex Spaces
Results in Nonlinear Analysis
abstract convex space
(partial) kkm space
riesz space
uniqueness principle
title Mixed Variational-like Inequality Problems in Abstract Convex Spaces
title_full Mixed Variational-like Inequality Problems in Abstract Convex Spaces
title_fullStr Mixed Variational-like Inequality Problems in Abstract Convex Spaces
title_full_unstemmed Mixed Variational-like Inequality Problems in Abstract Convex Spaces
title_short Mixed Variational-like Inequality Problems in Abstract Convex Spaces
title_sort mixed variational like inequality problems in abstract convex spaces
topic abstract convex space
(partial) kkm space
riesz space
uniqueness principle
url https://dergipark.org.tr/en/download/article-file/1138886
work_keys_str_mv AT wanboklee mixedvariationallikeinequalityproblemsinabstractconvexspaces