We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Lower Semicontinuity for Parametric Weak Vector Variational Inequalities in Reflexive Banach Spaces.
- Authors
Ren-you Zhong; Nan-jing Huang
- Abstract
In this paper, a key assumption similar to that of Li and Chen is introduced by virtue of a gap function for a class of parametric set-valued weak vector variational inequalities in Banach spaces. By using this key assumption, sufficient and necessary conditions of the continuity and Hausdorff continuity of the solution set mapping for such parametric set-valued weak vector variational inequalities are given in Banach spaces when the image space is infinite dimensional. The results presented in this paper generalize and improve some main results of Li and Chen.
- Subjects
BANACH spaces; VARIATIONAL inequalities (Mathematics); MATHEMATICAL mappings; INFINITY (Mathematics); CONTINUITY
- Publication
Journal of Optimization Theory & Applications, 2011, Vol 150, Issue 2, p317
- ISSN
0022-3239
- Publication type
Article
- DOI
10.1007/s10957-011-9843-1