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

页码：105 / 114

页数：10

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