Results 21 to 30 of about 802 (250)

Systems of Variational Inequalities with Nonlinear Operators

Mathematics, 2019
In this work, we concern ourselves with the problem of solving a general system of variational inequalities whose solutions also solve a common fixed-point problem of a family of countably many nonlinear operators via a hybrid viscosity implicit ...
Lu-Chuan Ceng, Qing Yuan
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Hybrid Mann Viscosity Implicit Iteration Methods for Triple Hierarchical Variational Inequalities, Systems of Variational Inequalities and Fixed Point Problems

Mathematics, 2019
In the present work, we introduce a hybrid Mann viscosity-like implicit iteration to find solutions of a monotone classical variational inequality with a variational inequality constraint over the common solution set of a general system of variational ...
Lu-Chuan Ceng, Qing Yuan
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Strong convergence for monotone bilevel equilibria with constraints of variational inequalities and fixed points using subgradient extragradient implicit rule

Journal of Inequalities and Applications, 2021
In a real Hilbert space, let GSVI and CFPP represent a general system of variational inequalities and a common fixed point problem of a countable family of nonexpansive mappings and an asymptotically nonexpansive mapping, respectively. In this paper, via
Long He, Yun-Ling Cui, Lu-Chuan Ceng, Tu-Yan Zhao, Dan-Qiong Wang, Hui-Ying Hu   +5 more
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Generalized extragradient iterative method for systems of variational inequalities [PDF]

Journal of Inequalities and Applications, 2012
Abstract The purpose of this article is to investigate the problem of finding a common element of the solution sets of two different systems of variational inequalities and the set of fixed points a strict pseudocontraction mapping defined in the setting of a real Hilbert space.
Ceng, Lu, Wong, Mu, Latif, Abdul
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General iterative methods for systems of variational inequalities with the constraints of generalized mixed equilibria and fixed point problem of pseudocontractions

Journal of Inequalities and Applications, 2018
In this paper, we introduce two general iterative methods (one implicit method and one explicit method) for finding a solution of a general system of variational inequalities (GSVI) with the constraints of finitely many generalized mixed equilibrium ...
Qian-Wen Wang, Jin-Lin Guan, Lu-Chuan Ceng, Bing Hu   +3 more
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Solvability of a system of nonconvex general variational inequalities

Sarajevo Journal of Mathematics, 2013
Using the prox-regularity notion, we introduce a system of nonconvex general variational inequalities and a general three step algorithm for approximate solvability of this system. We establish the convergence of three-step projection method for a general system of nonconvex variational inequality problem.
Balwant Singh Thakur, Suja Varghese
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Convex Minimization with Constraints of Systems of Variational Inequalities, Mixed Equilibrium, Variational Inequality, and Fixed Point Problems

Journal of Applied Mathematics, 2014
We introduce and analyze one iterative algorithm by hybrid shrinking projection method for finding a solution of the minimization problem for a convex and continuously Fréchet differentiable functional, with constraints of several problems: finitely many
Lu-Chuan Ceng, Cheng-Wen Liao, Chin-Tzong Pang, Ching-Feng Wen   +3 more
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A new system of generalized nonlinear mixed variational inequalities [PDF]

Mathematical Inequalities & Applications, 2008
In this paper, we introduce and study a new system of generalized nonlinear mixed variational inequalities which contains some classes of variational inequalities and systems of variational inequalities in the literature as special cases. We prove the existence and uniqueness of solution and the convergence of some new n -step iterative algorithms with
Jian-wen Peng, Hong-lin Luo
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On the dynamics of systems with one-sided non-integrable constraints [PDF]

Theoretical and Applied Mechanics, 2019
In the paper we take the first steps in studying the dynamics of systems with one-sided differential constraints defined by inequalities in the phase space. We give a general definition of motion for systems with such constraints. Within the framework of
Kozlov Valery V.
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Generalized Mann Viscosity Implicit Rules for Solving Systems of Variational Inequalities with Constraints of Variational Inclusions and Fixed Point Problems

Mathematics, 2019
In this work, let X be Banach space with a uniformly convex and q-uniformly smooth structure, where 1 < q ≤ 2 . We introduce and consider a generalized Mann-like viscosity implicit rule for treating a general optimization system of ...
Lu-Chuan Ceng, Meijuan Shang
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