Weak sharpness for gap functions in vector variational inequalities

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:394

Article

Huang, N. J.²  Li, J.³  Yang, X. Q.¹ 

[1] Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong, Peoples R China

[2] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China

[3] China W Normal Univ, Coll Math & Informat, Nanchong, Sichuan, Peoples R China

关键词: Vector variational inequality;    Gap function;    Weak sharpness;    Scalarization;    Semi-strong monotonicity;   

DOI  :  10.1016/j.jmaa.2012.04.081

来源: Elsevier

【 摘 要 】

In this paper, characterizations of the set of solutions for VVI are presented by using scalarization approaches. The set of solutions of VVI is shown to be the set of weak sharpness for gap functions of some scalarization of VVI and for gap functions of VVI under semi-strong monotonicity. Some examples are given to illustrate these results. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free