Multivalued mixed variational inequalities with locally Lipschitzian and locally cocoercive multivalued mappings

被引：18

作者：

Alleche, Boualem ^{[1
]}

机构：

[1] Univ Medea, Lab Mecan Phys & Modelisat Math, Ain Dheb 26000, Medea, Algeria

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 399卷 / 02期

关键词：

Multivalued mixed variational inequality; Lipschitzian; Cocoerciveness; Fixed point; Multivalued mapping; Hausdorff metric; CONTRACTION METHODS; EQUILIBRIUM; PROJECTION;

D O I：

10.1016/j.jmaa.2012.10.055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the problem of solving multivalued mixed variational inequalities. By using some sequential approximation techniques of fixed point theory, we solve the multivalued mixed variational inequalities involving locally Lipschitzian or locally cocoercive multivalued mappings. We establish that the convexity of the multivalued mapping values is not needed and construct by using the Banach contraction principle converging sequences to the solutions. Also, we show how to choose regularization parameters to compute these solutions. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：625 / 637

页数：13

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