Outer approximation schemes for generalized semi-infinite variational inequality problems

被引：2

作者：

Burachik, R. S. ^{[1
,2
]}

Lopes, J. O. ^{[3
]}

机构：

[1] Univ Ballarat, Ctr Informat & Appl Optimizat, Ballarat, Vic 3353, Australia

[2] Univ S Australia, Sch Math & Stat, Adelaide, SA 5001, Australia

[3] Univ Fed Piaui, Dept Matemat, Piaui, Brazil

来源：

OPTIMIZATION | 2010年 / 59卷 / 04期

基金：

澳大利亚研究理事会;

关键词：

variational inequalities; maximal monotone operators; Banach spaces; outer approximation algorithm; generalized semi-infinite programs; Bregman functions; coercive operators; OPTIMIZATION; POINT; MONOTONE;

D O I：

10.1080/02331930801956552

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：

We introduce and analyse outer approximation schemes for solving variational inequality problems in which the constraint set is as in generalized semi-infinite programming. We call these problems generalized semi-infinite variational inequality problems. First, we establish convergence results of our method under standard boundedness assumptions. Second, we use suitable Tikhonov-like regularizations for establishing convergence in the unbounded case.

引用

页码：601 / 617

页数：17

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