학술저널
A NOTE ON A REGULARIZED GAP FUNCTION OF QVI IN BANACH SPACES
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 27, No. 2
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2014.05271 - 276 (6 pages)
- 2
Recently, Taji [7] and Harms et al. [4] studied the reg- ularized gap function of QVI analogous to that of VI by Fukushima [2]. Discussions are made in a ¯nite dimensional Euclidean space. In this note, an in¯nite dimensional generalization is considered in the framework of a re°exive 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 in-vestigate some basic properties of it. Our results may be regarded as an in¯nite dimensional extension of corresponding results due to Taji [7].
1. Introduction
2. Preliminaries
3. Main result
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