Nonlinear quasi-hemivariational inequalities: existence and optimal control

S Zeng, S Migórski, AA Khan - SIAM Journal on Control and Optimization, 2021 - SIAM
In this paper, we investigate a generalized nonlinear quasi-hemivariational inequality (QHI)
involving a multivalued map in a Banach space. Under general assumptions, by using a …

Double phase implicit obstacle problems with convection and multivalued mixed boundary value conditions

S Zeng, VD Rădulescu, P Winkert - SIAM Journal on Mathematical Analysis, 2022 - SIAM
In this paper we consider a mixed boundary value problem with a nonhomogeneous,
nonlinear differential operator (called a double phase operator), a nonlinear convection term …

[图书][B] Uncertainty quantification in variational inequalities: theory, numerics, and applications

J Gwinner, B Jadamba, AA Khan, F Raciti - 2021 - taylorfrancis.com
Uncertainty Quantification (UQ) is an emerging and extremely active research discipline
which aims to quantitatively treat any uncertainty in applied models. The primary objective of …

Inverse problems for nonlinear quasi-variational inequalities with an application to implicit obstacle problems of p-Laplacian type

S Migórski, AA Khan, S Zeng - Inverse Problems, 2019 - iopscience.iop.org
The primary objective of this research is to investigate an inverse problem of parameter
identification in nonlinear mixed quasi-variational inequalities posed in a Banach space …

Nonlocal double phase implicit obstacle problems with multivalued boundary conditions

S Zeng, VD Rădulescu, P Winkert - SIAM Journal on Mathematical Analysis, 2024 - SIAM
In this paper, we consider a mixed boundary value problem with a nonhomogeneous,
nonlinear differential operator (called double phase operator), a nonlinear convection term …

A new class of generalized quasi-variational inequalities with applications to Oseen problems under nonsmooth boundary conditions

S Zeng, AA Khan, S Migórski - Science China Mathematics, 2024 - Springer
In this paper, we study a generalized quasi-variational inequality (GQVI for short) with two
multivalued operators and two bifunctions in a Banach space setting. A coupling of the …

Existence of projected solutions for generalized Nash equilibrium problems

O Bueno, J Cotrina - Journal of Optimization Theory and Applications, 2021 - Springer
We study the existence of projected solutions for generalized Nash equilibrium problems
defined in Banach spaces, under mild convexity assumptions for each loss function and …

Variational and quasi-variational inequalities under local reproducibility: solution concept and applications

D Aussel, P Chaipunya - Journal of Optimization Theory and Applications, 2024 - Springer
Local solutions for variational and quasi-variational inequalities are usually the best type of
solutions that could practically be obtained when in lack of convexity or else when available …

Quasi-equilibrium problems with non-self constraint map

J Cotrina, J Zúñiga - Journal of Global Optimization, 2019 - Springer
Abstract In 2016 Aussel, Sultana and Vetrivel developed the concept of projected solution
for Nash equilibria. The purpose of this work is to study the same concept of solution, but for …

Quasi-variational problems with non-self map on Banach spaces: Existence and applications

E Allevi, ME De Giuli, M Milasi, D Scopelliti - Nonlinear Analysis: Real World …, 2022 - Elsevier
This paper focuses on the analysis of generalized quasi-variational inequality problems with
non-self constraint map. To study such problems, in Aussel et al.(2016) the authors …