Existence and iterative approximation of solutions of a system of general variational inclusions

DOI10.1016/j.amc.2009.04.047zbMath1178.65075OpenAlexW2039415910MaRDI QIDQ732454

Naeem Ahmad, Huzoor H. Khan, Kaleem Raza Kazmi

Publication date: 9 October 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.04.047

zbMATH Keywords

stabilityconvergenceBanach spacesMann type perturbed iterative algorithmProximal-point mapping techniqueSystem of general variational inclusions

Mathematics Subject Classification ID

Variational inequalities (49J40) Numerical methods for variational inequalities and related problems (65K15)

Related Items (4)

Graph convergence with an application for system of variational inclusions and fixed-point problems ⋮ Iterative algorithm for fixed point problems of generalized nearly asymptotically nonexpansive mappings and solutions of a system of generalized nonlinear variational-like inclusions ⋮ Total asymptotically nonexpansive mappings and generalized variational-like inclusion problems in semi-inner product spaces ⋮ System of generalized nonlinear variational-like inequalities and nearly asymptotically nonexpansive mappings: graph convergence and fixed point problems

Cites Work

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• Familles d'opérateurs maximaux monotones et mesurabilite
• Characterization of \(H\)-monotone operators with applications to variational inclusions
• Iterative algorithm for generalized quasi-variational-like inclusions with fuzzy mappings in Banach spaces
• Iterative approximation of a solution of multi-valued variational-like inclusion in Banach spaces: A \(P-\eta\) -proximal-point mapping approach
• Iterative approximation of a unique solution of a system of variational-like inclusions in real \(q\)-uniformly smooth Banach spaces
• An iterative algorithm for a set-valued implicit quasi-variational inequality problem in uniformly smooth Banach space
• Convergence and stability of iterative algorithms for some classes of general variational inclusions in Banach spaces
• Nested monotony for variational inequalities over product of spaces and convergence of iterative algorithms
• Generalized set-valued variational inclusions and resolvent equations
• Stability of the Mann and Ishikawa iteration procedures for \(\phi\)-strong pseudocontractions and nonlinear equations of the \(\phi\)-strongly accretive type
• A perturbed algorithm for variational inclusions
• Mann and Ishikawa type perturbed iterative algorithms for generalized quasivariational inclusions
• Perturbed proximal point algorithms for generalized quasivariational inclusions
• Generalized nonlinear mixed quasi-variational inequalities
• Implicit resolvent dynamical systems for quasi variational inclusions
• Existence and convergence theorems for a class of multi-valued variational inclusions in Banach spaces
• Iterative algorithm for a system of nonlinear variational-like inclusions
• Iterative approximation of a solution of a general variational-like inclusion in Banach spaces
• Generalized quasi-variational-like inclusions with nonconvex functionals
• A new class of completely generalized quasi-variational inclusions in Banach spaces
• General strongly nonlinear quasivariational inequalities with relaxed Lipschitz and relaxed monotone mappings
• Generalized nonlinear mixed implicit quasi-variational inclusions with set-valued mappings.
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• Generalized nonlinear variational inclusions with noncompact valued mappings
• Network economics: a variational inequality approach
• Quasidifferentiability and nonsmooth modelling in mechanics, engineering and economics
• Perturbed algorithms and sensitivity analysis for a general class of variational inclusions
• Perturbed proximal point algorithms for general quasi-variational-like inclusions
• Existence and algorithm of solutions for mixed quasi-variational-like inclusions in Banach spaces
• Convergence and stability of iterative algorithms of generalized set-valued variational-like inclusions in Banach spaces
• Convergence and stability of a three-step iterative algorithm for a general quasi-variational inequality problem
• A proximal method for pseudomonotone type variational-like inequalities
• Équations et inéquations non linéaires dans les espaces vectoriels en dualité
• Asymmetric variational inequality problems over product sets: Applications and iterative methods
• Inequalities in Banach spaces with applications
• A fixed point theorem and its applications to a system of variational inequalities
• Engineering and Economic Applications of Complementarity Problems
• ALGORITHMS FOR SYSTEMS OF NONLINEAR VARIATIONAL INEQUALITIES
• Proximité et dualité dans un espace hilbertien
• Relatively monotone variational inequalities over product sets
• A new class of generalized set-valued implicit variational inclusions in Banach spaces with an application
• Projection methods, algorithms, and a new system of nonlinear variational inequalities

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