[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2014.27.2.271

A NOTE ON A REGULARIZED GAP FUNCTION OF QVI IN BANACH SPACES

Kum, Sangho (Department of Mathematics Education Chungbuk National University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.27, no.2, 2014 , pp. 271-276 More about this Journal

Abstract

Recently, Taji [7] and Harms et al. [4] studied the regularized gap function of QVI analogous to that of VI by Fukushima [2]. Discussions are made in a finite dimensional Euclidean space. In this note, an infinite dimensional generalization is considered in the framework of a reflexive Banach space. To do so, we introduce an extended quasi-variational inequality problem (in short, EQVI) and a generalized regularized gap function of EQVI. Then we investigate some basic properties of it. Our results may be regarded as an infinite dimensional extension of corresponding results due to Taji [7].

Keywords

Quasi-variational inequalities; gap functions; subdifferential; convex function;

Citations & Related Records

Reference

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