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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:399

Article

Alleche, Boualem

关键词: Multivalued mixed variational inequality;    Lipschitzian;    Cocoerciveness;    Fixed point;    Multivalued mapping;    Hausdorff metric;   

DOI  :  10.1016/j.jmaa.2012.10.055

来源: Elsevier

【 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.

【 授权许可】

Free