On a System of Generalized Mixed Equilibrium Problems Involving Variational‐Like Inequalities in Banach Spaces: Existence and Algorithmic Aspects

H Mahdioui, O Chadli - Advances in Operations Research, 2012 - Wiley Online Library
We study the existence and the algorithmic aspect of a System of Generalized Mixed
Equilibrium Problems involving variational‐like inequalities (SGMEPs) in the setting of …

[HTML][HTML] The auxiliary principle and an algorithm for a system of generalized set-valued mixed variational-like inequality problems in Banach spaces

XP Ding, ZB Wang - Journal of computational and applied mathematics, 2010 - Elsevier
In this paper, we introduce and study a new system of generalized set-valued mixed
variational-like inequality problems (SGSMVLIP) and its related auxiliary problems in …

Iterative algorithms for a generalized system of mixed variational-like inclusion problems and altering points problem

M Alansari, M Akram, M Dilshad - Statistics, Optimization & Information …, 2020 - iapress.org
In this article, we introduce and study a generalized system of mixed variational-like
inclusion problems involving αβ-symmetric η-monotone map**s. We use the resolvent …

Auxiliary principle and iterative algorithm for a new system of generalized mixed equilibrium problems in Banach spaces

XP Ding - Applied Mathematics and Computation, 2011 - Elsevier
In this paper, we study a new system of generalized mixed equilibrium problems involving
skew-symmetric bifunctions (SGMEP) in reflexive Banach spaces. A system of auxiliary …

Auxiliary principle and iterative algorithm for a system of generalized set-valued strongly nonlinear mixed implicit quasi-variational-like inequalities

YQ Qiu, JZ Chen, LC Ceng - Journal of Inequalities and Applications, 2016 - Springer
In this paper, the auxiliary principle technique is extended to study a system of generalized
set-valued strongly nonlinear mixed implicit quasi-variational-like inequalities problem in …

Auxiliary principle and algorithm of solutions for a new system of generalized mixed equilibrium problems in Banach spaces

XP Ding - Journal of Optimization Theory and Applications, 2012 - Springer
In this paper, we study a new system of generalized mixed equilibrium problems involving
nonmonotone set-valued map**s and nondifferential bifunctions in Banach spaces. First …

Auxiliary principle technique and iterative algorithm for a perturbed system of generalized multi-valued mixed quasi-equilibrium-like problems

M Rahaman, CT Pang, M Ishtyak, R Ahmad - Journal of Inequalities and …, 2017 - Springer
In this article, we introduce a perturbed system of generalized mixed quasi-equilibrium-like
problems involving multi-valued map**s in Hilbert spaces. To calculate the approximate …

SOLVABILITY OF A SYSTEM OF GENERALIZED NONLINEAR MIXED VARIATIONAL-LIKE INEQUALITIES

H Yu, S Wu, CY Jun - Nonlinear Functional Analysis and …, 2018 - nfaa.kyungnam.ac.kr
In this paper, we introduce and study a new system of generalized nonlinear mixed
variational-like inequalities. By applying the Lemma of Ky Fan, we prove an exis-tence …

A new class of bilevel generalized mixed equilibrium problems in Banach spaces

D ** - Acta Mathematica Scientia, 2012 - Elsevier
A new class of bilevel generalized mixed equilibrium problems involving set-valued
map**s is introduced and studied in a real Banach space. By using the auxiliary principle …

Regularized Mixed Variational‐Like Inequalities

MA Noor, KI Noor, S Zainab… - Journal of Applied …, 2012 - Wiley Online Library
We use auxiliary principle technique coupled with iterative regularization method to suggest
and analyze some new iterative methods for solving mixed variational‐like inequalities. The …