Sensitivity analysis of optimal control problems driven by dynamic history-dependent variational-hemivariational inequalities

Y Liu, Z Liu, NS Papageorgiou - Journal of Differential Equations, 2023 - Elsevier
The aim of this paper is to investigate a nonlinear optimal control problem governed by a
complicated dynamic variational-hemivariational inequality (DVHVI, for short) with history …

Some results on strongly pseudomonotone quasi-variational inequalities

LV Nguyen, X Qin - Set-Valued and Variational Analysis, 2020 - Springer
In this paper, strongly pseudomonotone quasi-variational inequalities are investigated. We
provide sufficient conditions for existence and uniqueness of solutions of strongly …

Optimal control of elliptic variational–hemivariational inequalities

Z Peng, K Kunisch - Journal of Optimization Theory and Applications, 2018 - Springer
This paper deals with the optimality system of an optimal control problem governed by a
nonlinear elliptic inclusion and a nonsmooth cost functional. The system describing the state …

Optimal control of an evolution hemivariational inequality involving history-dependent operators

Z Jing, Z Liu, E Vilches, C Wen, JC Yao - Communications in Nonlinear …, 2021 - Elsevier
In this paper we consider a class of feedback control systems described by an evolution
hemivariational inequality involving history-dependent operators. Under the mild conditions …

Mixed equilibrium problems and anti-periodic solutions for nonlinear evolution equations

O Chadli, QH Ansari, JC Yao - Journal of Optimization Theory and …, 2016 - Springer
By using some new developments in the theory of equilibrium problems, we study the
existence of anti-periodic solutions for nonlinear evolution equations associated with time …

Existence results for noncoercive mixed variational inequalities in finite dimensional spaces

A Iusem, F Lara - Journal of Optimization Theory and Applications, 2019 - Springer
We use asymptotic analysis and generalized asymptotic functions for studying nonlinear and
noncoercive mixed variational inequalities in finite dimensional spaces in the nonconvex …

Existence of solutions for nonlinear implicit differential equations: an equilibrium problem approach

O Chadli, QH Ansari, S Al-Homidan - … Functional Analysis and …, 2016 - Taylor & Francis
In this article, we study the existence of solutions for nonlinear implicit differential equations
associated to a time-dependent pseudomonotone (respectively, quasimonotone) operator …

Noncoercive variational–hemivariational inequalities: existence, approximation by double regularization, and application to nonmonotone contact problems

O Chadli, J Gwinner, MZ Nashed - Journal of Optimization Theory and …, 2022 - Springer
We study noncoercive nonlinear variational–hemivariational inequalities that encompass
semicoercive nonlinear monotone variational inequalities and pseudomonotone variational …

On Semicoercive Variational-Hemivariational Inequalities—Existence, Approximation, and Regularization

O Chadli, J Gwinner, N Ovcharova - Vietnam Journal of Mathematics, 2018 - Springer
In this paper, we are concerned with semicoercive variational-hemivariational inequalities
that encompass nonlinear semicoercive monotone variational inequalities (VIs) and …

Semicoercive variational inequalities: from existence to numerical solution of nonmonotone contact problems

N Ovcharova, J Gwinner - Journal of Optimization Theory and Applications, 2016 - Springer
In this paper, we present a novel numerical solution procedure for semicoercive
hemivariational inequalities. As a concrete example, we consider a unilateral semicoercive …