On the existence and convergence of approximate solutions for mixed variational-like inequalities

被引：4
|
作者：
Schaible, S.
Yao, J. C. [1 ]
Zeng, L. C.
机构：
[1] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 804, Taiwan
[2] Univ Calif Riverside, AG Anderson Grad Sch Management, Riverside, CA 92521 USA
[3] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
来源：
OPTIMIZATION | 2007年 / 56卷 / 1-2期
关键词：
auxiliary principle technique; convergence; existence; mixed variational-like inequality;
D O I：
10.1080/02331930600808483
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
The auxiliary principle technique is extended to develop an iterative algorithm for finding approximate solutions of a mixed variational-like inequality in a real Hilbert space. Not only the existence of approximate solutions of a mixed variational-like inequality is proven, but also the strong convergence of approximate solutions to an exact solution of a mixed variational-like inequality is shown. The convergence criteria presented in this article are new.
引用
收藏
页码：105 / 114
页数：10
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