Regularization of Brezis pseudomonotone variational inequalities

被引：5

作者：

Bianchi, M. ^{[1
]}

Kassay, G. ^{[2
]}

Pini, R. ^{[3
]}

机构：

[1] Univ Cattolica Sacro Cuore Milano, Milan, Italy

[2] Babes Bolyai Univ, Cluj Napoca, Romania

[3] Univ Milano Bicocca, Milan, Italy

来源：

SET-VALUED AND VARIATIONAL ANALYSIS | 2021年 / 29卷 / 01期

关键词：

Set-valued variational inequality; B-pseudomonotonicity; Approximate solutions; Equilibrium problem; Navier-Stokes operator; EXISTENCE; EQUATIONS;

D O I：

10.1007/s11228-020-00543-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove the existence of solutions of regularized set-valued variational inequalities involving Brezis pseudomonotone operators in reflexive and locally uniformly convex Banach spaces. By taking advantage of this result, we approximate a general set-valued variational inequality with suitable regularized set-valued variational inequalities, and we show that their solutions weakly converge to a solution of the original one. Furthermore, by strengthening the coercivity conditions, we can prove the strong convergence of the approximate solutions.

引用

页码：175 / 190

页数：16

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