Existence results for generalized Nash equilibrium problems under continuity-like properties of sublevel sets

D Aussel, KC Van, D Salas - SIAM Journal on Optimization, 2021 - SIAM
A generalized Nash equilibrium problem corresponds to a noncooperative interaction
between a finite set of players in which the cost function and the feasible set of each player …

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 …

An inverse problem for a double phase implicit obstacle problem with multivalued terms

S Zeng, Y Bai, VD Rădulescu… - … : Control, Optimisation and …, 2023 - esaim-cocv.org
In this paper, we study an inverse problem of estimating three discontinuous parameters in a
double phase implicit obstacle problem with multivalued terms and mixed boundary …

Strong convergence of Bregman projection method for solving variational inequality problems in reflexive Banach spaces

Z Xie, G Cai, QL Dong - Numerical Algorithms, 2023 - Springer
This paper aims to introduce a new projection method for solving pseudomonotone
variational inequality problems in real reflexive Banach spaces. The main algorithm is based …

A continuity result for the adjusted normal cone operator

M Castellani, M Giuli - Journal of Optimization Theory and Applications, 2024 - Springer
The concept of adjusted sublevel set for a quasiconvex function was introduced by Aussel
and Hadjisavvas who proved the local existence of a norm-to-weak∗ upper semicontinuous …

Solvability and algorithms of generalized nonlinear variational-like inequalities in reflexive Banach spaces

H Gao, L Wang, L Zhao - Journal of Inequalities and Applications, 2020 - Springer
This paper deals with solvability and algorithms for a new class of generalized nonlinear
variational-like inequalities in reflexive Banach spaces. By employing the Banach's fixed …

A new class of evolution multivalued quasi-variational inequalities I: existence and nonsmooth optimal control

S Zeng, VD Rădulescu - arXiv preprint arXiv:2405.17810, 2024 - arxiv.org
In this paper, we consider a new kind of evolution multivalued quasi-variational inequalities
with feedback effect and a nonlinear bifunction which contain several (evolution) quasi …

[HTML][HTML] Projected solutions of generalized quasivariational problems in Banach spaces

M Castellani, M Giuli, M Milasi, D Scopelliti - Nonlinear Analysis: Real World …, 2024 - Elsevier
This paper focuses on the analysis of generalized quasivariational inequalities with non-self
map. In Aussel et al.,(2016), introduced the concept of the projected solution to study such …

Variational principles for monotone variational inequalities: The single-valued case

P Georgiev - Serdica Mathematical Journal, 2023 - serdica.math.bas.bg
We consider a parameterized variational inequality\((A, Y)\) in a Banach space\(E\) defined
on a closed, convex and bounded subset\(Y\) of\(E\) by a monotone operator\(A\) depending …

Pour obtenir le grade de

CAO VAN KIEN - theses.hal.science
The research work presented in this thesis covers two topics: first, we focused on quasi-
variational inequality problems and generalized Nash equilibrium problems; and second …