OPTIMAL CONTROL OF A CLASS OF MIXED HEMIVARIATIONAL INEQUALITIES INVOLVING SET-VALUED MAPS

被引：0

作者：

Chadli, Ouayl ^{[1
]}

Mohapatra, Ram ^{[2
]}

Al-Homidan, Suliman ^{[3
]}

机构：

[1] Ibn Zohr Univ, Dept Econ, Agadir, Morocco

[2] Univ Cent Florida, Dept Math, Orlando, FL 32816 USA

[3] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran, Saudi Arabia

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2020年 / 21卷 / 10期

关键词：

Optimal control; set-valued mapping; pseudomonotonicity; hemivariational inequalities; BREZIS PSEUDOMONOTONICITY; EXISTENCE; MAPPINGS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to study optimal control of a generalized class of hemivariational inequalities involving a set-valued mapping. We use a Galerkin-type method and the pseudomonotonicity notion in the sense of Brezis for bifunctions. A recent paper by Steck (J. Optim. Theory Appl. 181 (2019), 318-323) has shown the interest of this notion and showed how it is strictly weaker than the notion called Ky Fan hemicontinuity which has been used in many recent works related to the problem studied in this paper. The results obtained in this paper are new and improve considerably many existing results in literature.

引用

页码：2351 / 2366

页数：16

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