Mixed Variational-like Inequality Problems in Abstract Convex Spaces

Year 2020, Volume: 3 Issue: 2, 59 - 67, 30.06.2020

Wanbok Lee

Abstract

P.K. Das and G.C. Nayak [3] introduced the concept of
generalized variational like inequalities in H-spaces in the
presence of $T$-$\eta$-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
$T$-$\eta$-invex function. In the present note, we extend their
results to partial KKM spaces, which contain H-spaces
as very particular subclass.

Keywords

Abstract convex space, (Partial) KKM space, Riesz space, Uniqueness Principle

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