scholarly journals Existence and convergence results for evolution hemivariational inequalities

2000 ◽  
Vol 16 (1) ◽  
pp. 125 ◽  
Author(s):  
Stanisław Migórski
Keyword(s):  
Hemivariational Inequalities ◽  
Convergence Results ◽  
Evolution Hemivariational Inequalities

Dynamic contact problem with thermal effect

2017 ◽  
Vol 24 (4) ◽  
Author(s):  
Justyna Ogorzaly
Keyword(s):  
Thermal Effect ◽  
Frictional Contact ◽  
Dynamic Contact ◽  
The Body ◽  
Constitutive Law ◽  
Hemivariational Inequalities ◽  
Banach Fixed Point Theorem ◽  
Dynamic Contact Problem ◽  
System Of Inequalities ◽  
Evolution Hemivariational Inequalities

AbstractWe consider a model of a dynamic frictional contact between the body and the foundation. In this model the contact is bilateral. The behaviour of the material is described by the elastic-viscoplastic constitutive law with thermal effect. The variational formulation of this model leads to a system of two evolution hemivariational inequalities. The aim of this paper is to prove that this system of inequalities has a unique solution. The proof is based on the Banach fixed point theorem and some results for hemivariational inequalities.

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.

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