Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
478703 | European Journal of Operational Research | 2010 | 11 Pages |
Abstract
In this paper, we consider an extension of the notion of well-posedness by perturbations, introduced by Zolezzi for a minimization problem, to a mixed variational inequality problem in a Banach space. We establish some metric characterizations of the well-posedness by perturbations. We also show that under suitable conditions, the well-posedness by perturbations of a mixed variational inequality problem is equivalent to the well-posedness by perturbations of a corresponding inclusion problem and a corresponding fixed point problem. Also, we derive some conditions under which the well-posedness by perturbations of a mixed variational inequality is equivalent to the existence and uniqueness of its solution.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Ya-Ping Fang, Nan-Jing Huang, Jen-Chih Yao,