Convergence Results and Optimal Control for a Class of Hemivariational Inequalities

2018 ◽  
Vol 50 (4) ◽  
pp. 4066-4086 ◽  
Author(s):  
Mircea Sofonea
Keyword(s):  
Optimal Control ◽  
Hemivariational Inequalities ◽  
Convergence Results

scholarly journals Existence and Convergence Results for Generalized Mixed Quasi-Variational Hemivariational Inequality Problem

Symmetry ◽  
2021 ◽  
Vol 13 (10) ◽  
pp. 1882
Author(s):  
Shih-Sen Chang ◽  
Salahuddin ◽  
Lin Wang ◽  
Gang Wang ◽  
Yunhe Zhao
Keyword(s):  
Optimal Control ◽  
Variational Inequality ◽  
Hilbert Spaces ◽  
Hemivariational Inequalities ◽  
Convergence Problem ◽  
The Third ◽  
Convergence Results ◽  
Quasi Variational Inequality ◽  
Existence Of Optimal Control ◽  
The Relationship

The main purpose of this paper is threefold. One is to study the existence and convergence problem of solutions for a class of generalized mixed quasi-variational hemivariational inequalities. The second one is to study the existence of optimal control for such kind of generalized mixed quasi-variational hemivariational inequalities under given control u∈U. The third one is to study the relationship between the optimal control and the data for the underlying generalized mixed quasi-variational inequality problems and a class of minimization problem. As an application, we utilize our results to study the elastic frictional problem in a class of Hilbert spaces. The results presented in the paper extend and improve upon some recent results.

Nonlinear Quasi-hemivariational Inequalities: Existence and Optimal Control

2021 ◽  
Vol 59 (2) ◽  
pp. 1246-1274
Author(s):  
Shengda Zeng ◽  
Stanisław Migórski ◽  
Akhtar A. Khan
Keyword(s):  
Optimal Control ◽  
Hemivariational Inequalities
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