Gap function for set-valued vector variational-like inequalities
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 77-84 |
| Journal / Publication | Journal of Optimization Theory and Applications |
| Volume | 138 |
| Issue number | 1 |
| Publication status | Published - Jul 2008 |
Link(s)
Abstract
Variational-like inequalities with set-valued mappings are very useful in economics and nonsmooth optimization problems. In this paper, we study the existence of solutions and the formulation of solution methods for vector variational-like inequalities (VVLI) with set-valued mappings. We introduce gap functions and establish necessary and sufficient conditions for the existence of a solution of the VVLI. We investigate the existence of a solution for the generalized VVLI with a set-valued mapping by exploiting the existence of a solution of the VVLI with a single-valued function and a continuous selection theorem. © 2008 Springer Science+Business Media, LLC.
Research Area(s)
- Existence of a solution, Gap functions, Semidefinite programming, Set-valued mappings, Vector variational-like inequalities
Citation Format(s)
Gap function for set-valued vector variational-like inequalities. / Mishra, S. K.; Wang, S. Y.; Lai, K. K.
In: Journal of Optimization Theory and Applications, Vol. 138, No. 1, 07.2008, p. 77-84.
In: Journal of Optimization Theory and Applications, Vol. 138, No. 1, 07.2008, p. 77-84.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
