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Algorithms for a System of General Variational Inequalities in Banach Spaces [PDF]
Journal of Applied Mathematics, 2012 The purpose of this paper is using Korpelevich's extragradient method to study the existence problem of solutions and approximation solvability problem for a class of systems of finite family of general nonlinear variational inequality in Banach spaces ...
Jin-Hua Zhu, Shih-Sen Chang, Min Liu
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System of Extended General Variational Inequalities for Relaxed Cocoercive Mappings in Hilbert Space
Mathematics, 2018 In this manuscript, we study a system of extended general variational inequalities (SEGVI) with several nonlinear operators, more precisely, six relaxed ( α , r ) -cocoercive mappings.
Kyung Soo Kim
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Journal of Inequalities and Applications, 2022 In a real Hilbert space, let the VIP, GSVI, HVI, and CFPP denote a variational inequality problem, a general system of variational inequalities, a hierarchical variational inequality, and a common fixed-point problem of a countable family of uniformly ...
Lu-Chuan Ceng +2 more
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A General Projection Method for a System of Relaxed Cocoercive Variational Inequalities in Hilbert Spaces [PDF]
Journal of Inequalities and Applications, 2007 We consider a new algorithm for a generalized system for relaxed cocoercive nonlinear inequalities involving three different operators in Hilbert spaces by the convergence of projection methods. Our results include the
Xiaolong Qin +2 more
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Novel Algorithms for Solving a System of Absolute Value Variational Inequalities
Journal of Function Spaces, 2022 The goal of this paper is to study a new system of a class of variational inequalities termed as absolute value variational inequalities. Absolute value variational inequalities present a rational, pragmatic, and novel framework for investigating a wide ...
Safeera Batool +4 more
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ON A SYSTEM OF GENERALIZED NONLINEAR VARIATIONAL INEQUALITIES [PDF]
Communications of the Korean Mathematical Society, 2007 Summary: A new class of system of generalized nonlinear variational inequalities involving strongly monotone, relaxed cocoercive and relaxed generalized monotone mappings in Hilbert spaces is introduced and studied. Based on the projection method, an equivalence between the system of generalized nonlinear variational inequalities and the fixed point ...
Li, Jingchang +3 more
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A Generalized System of Nonlinear Variational Inequalities in Banach Spaces [PDF]
Abstract and Applied Analysis, 2014 We introduce a new generalized system of nonlinear variational inequality problems (GSNVIP) by using the generalized projection method. Moreover, we introduce an iterative scheme for finding a solution to this problem. Moreover, some existence and strong convergence theorems are established in uniformly smooth and strictly convex Banach spaces under ...
Prapairat Junlouchai +2 more
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Open Mathematics, 2022 In a real Banach space, let the VI indicate a variational inclusion for two accretive operators and let the CFPP denote a common fixed point problem of countably many nonexpansive mappings.
Ceng Lu-Chuan, Zhu Li-Jun, Yin Tzu-Chien
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A System of Generalized Variational-Hemivariational Inequalities with Set-Valued Mappings [PDF]
Journal of Applied Mathematics, 2013 By using surjectivity theorem of pseudomonotone and coercive operators rather than the KKM theorem and fixed point theorem used in recent literatures, we obtain some conditions under which a system of generalized variational-hemivariational inequalities concerning set-valued mappings, which includes as special cases many problems of hemivariational ...
Liu, Zhi-bin +3 more
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On general systems of variational inequalities
Computers & Mathematics with Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lu-Chuan Ceng +2 more
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