Gap functions and global error bounds for set-valued variational inequalities

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:233

Article

Fan Jianghua¹  Wang Xiaoguo¹ 

[1] Guangxi Normal Univ, Guilin 541004, Guangxi, Peoples R China

关键词: Set-valued variational inequality problem;    Unconstrained optimization problem;    Gap functions;    Global error bounds;   

DOI  :  10.1016/j.cam.2009.11.041

来源: Elsevier

【 摘 要 】

The set-valued variational inequality problem is very useful in economics theory and nonsmooth optimization. In this paper, we introduce some gap functions for set-valued variational inequality problems under suitable assumptions. By using these gap functions we derive global error bounds for the solution of the set-valued variational inequality problems. Our results not only generalize the previously known results for classical variational inequalities from single-valued case to set-valued, but also present a way to constructgap functions and derive global error bounds forset-valued variational inequality problems. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free