Existence of solutions and an algorithm for mixed variational-like inequalities in Banach spaces

被引：27

作者：

Ding, XP ^{[1
]}

机构：

[1] Sichuan Normal Univ, Coll Math & Software Sci, Chengdu, Sichuan, Peoples R China

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2005年 / 127卷 / 02期

基金：

美国国家科学基金会;

关键词：

mixed variational-like inequalities; minimax inequalities; auxiliary variational inequalities; iterative algorithms; reflexive Banach spaces;

D O I：

10.1007/s10957-005-6540-y

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：

In this paper, we study the class of mixed variational-like inequalities in reflexive Banach spaces. By applying a minimax inequality due to the author, some existence and uniqueness theorems for solutions of mixed variational-like inequalities are proved. Next, by applying the auxiliary problem technique, we suggest an innovative iterative algorithm to compute approximate solutions of the mixed variational-like inequality. Finally, convergence criteria are also discussed.

引用

页码：285 / 302

页数：18

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