Results 11 to 20 of about 802 (250)

Generalized System of Variational Inequalities in Banach Spaces [PDF]

Applied Mathematics & Information Sciences, 2014
In this paper, we introduce and consider a new system of extended general variational inequalities in Banach spaces. We establish the equivalence between the extended general variational inequalities and the fixed point problems. We use this equivalent formulation to suggest some iterative methods for solving this new system.
Abdellah Bnouhachem, Muhammad Aslam Noor, Mohamed Khalfaoui, Hafida Benazza   +3 more
openaire   +1 more source

Strong Convergence Theorem for a New General System of Variational Inequalities in Banach Spaces

Fixed Point Theory and Applications, 2010
We introduce a new system of general variational inequalities in Banach spaces. The equivalence between this system of variational inequalities and fixed point problems concerning the nonexpansive mapping is established.
Suantai S, Imnang S
doaj   +2 more sources

A New General Class of Systems of Elliptic Quasi-Variational-Hemivariational Inequalities

Communications in Nonlinear Science and Numerical Simulation, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Migórski, Stanisław, Ogorzały, Justyna, Dudek, Sylwia   +2 more
openaire   +4 more sources

The Penalty Method for a New System of Generalized Variational Inequalities

International Journal of Mathematics and Mathematical Sciences, 2010
We consider a new system of generalized variational inequalities (SGVI). Using the penalty methods, we prove the existence of solution of SGVI in Hilbert spaces. Our results extend and improve some known results.
Yu-Chao Tang, Li-Wei Liu
openaire   +2 more sources

Implicit and explicit iterative algorithms for hierarchical variational inequality in uniformly smooth Banach spaces

Journal of Inequalities and Applications, 2017
The purpose of this paper is to solve the hierarchical variational inequality with the constraint of a general system of variational inequalities in a uniformly convex and 2-uniformly smooth Banach space.
Lu-Chuan Ceng, Yung-Yih Lur, Ching-Feng Wen   +2 more
doaj   +1 more source

Two General Algorithms for Computing Fixed Points of Nonexpansive Mappings in Banach Spaces

Journal of Applied Mathematics, 2012
Recently, Yao et al. (2011) introduced two algorithms for solving a system of nonlinear variational inequalities. In this paper, we consider two general algorithms and obtain the extension results for computing fixed points of nonexpansive mappings in ...
Shuang Wang
doaj   +1 more source

Some Mann-Type Implicit Iteration Methods for Triple Hierarchical Variational Inequalities, Systems Variational Inequalities and Fixed Point Problems

Mathematics, 2019
This paper discusses a monotone variational inequality problem with a variational inequality constraint over the common solution set of a general system of variational inequalities (GSVI) and a common fixed point (CFP) of a countable family of ...
Lu-Chuan Ceng, Xiaoye Yang
doaj   +1 more source

Projection Methods and a New System of Extended General Regularized Nonconvex Set-Valued Variational Inequalities

Journal of Applied Mathematics, 2012
A new system of extended general nonlinear regularized nonconvex set-valued variational inequalities is introduced, and the equivalence between the extended general nonlinear regularized nonconvex set-valued variational inequalities and the fixed point ...
Javad Balooee, Yeol Je Cho, Mee Kwang Kang   +2 more
doaj   +1 more source

Triple Hierarchical Variational Inequalities, Systems of Variational Inequalities, and Fixed Point Problems

Mathematics, 2019
In this paper, we introduce a multiple hybrid implicit iteration method for finding a solution for a monotone variational inequality with a variational inequality constraint over the common solution set of a general system of variational inequalities ...
Lu-Chuan Ceng, Qing Yuan
doaj   +1 more source

Modified Relaxed Extragradient Method for a General System of Variational Inequalities and Nonexpansive Mappings in Banach Spaces

Abstract and Applied Analysis, 2012
The purpose of this paper is to introduce a new modified relaxed extragradient method and study for finding some common solutions for a general system of variational inequalities with inversestrongly monotone mappings and nonexpansive mappings in the ...
Yuanheng Wang, Liu Yang
doaj   +1 more source