Generalized variational inequalities for maximal monotone operators

被引：0
|
作者：
Nguyen Quynh Nga
机构：
[1] Vietnam Academy of Science and Technology,Institute of Mathematics
[2] Vietnam Academy of Science and Technology,Graduate University of Science and Technology
来源：
Indian Journal of Pure and Applied Mathematics | 2021年 / 52卷
关键词：
Generalized variational inequalities; Maximal monotone operators; Contractible subset; Reflexive Banach space with a Frechet differentiable norm; Existence of solutions; 49J40; 47J20; 47H05;
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学科分类号：
摘要：
In this paper, we present some new results on the existence of solutions of generalized variational inequalities for set-valued mappings in reflexive Banach spaces with Fréchet differentiable norms. Moreover, the structure of the solution sets is investigated. The result obtained in this paper improves and extends the ones announced by Fang and Peterson [S. C. Fang and E. L. Peterson, Generalized Variational Inequalities, J. Optim. Theory Appl., 38 (1982), 363-383] and others.
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页码：96 / 104
页数：8
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