A resolvent operator technique for approximate solving of generalized system mixed variational inequality and fixed point problems

DOI10.1016/j.aml.2009.12.001zbMath1185.49010OpenAlexW1964464035MaRDI QIDQ963828

Narin Petrot

Publication date: 14 April 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2009.12.001

zbMATH Keywords

maximal monotone operatorresolvent operatorfixed point problemasymptotically strict pseudo-contraction mappinggeneralized system for a relaxed cocoercive mixed variational inequality problem

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Fixed-point theorems (47H10)

Related Items (17)

Unnamed Item ⋮ Existence of solutions and convergence analysis for a system of quasivariational inclusions in Banach spaces ⋮ Existence and convergence theorems for the new system of generalized mixed variational inequalities in Banach spaces ⋮ Graphical approximation of common solutions to generalized nonlinear relaxed cocoercive operator equation systems with \((A, \eta)\)-accretive mappings ⋮ Regularization method for Noor's variational inequality problem induced by a hemicontinuous monotone operator ⋮ A Valuable Remark on Lipschitz in the First Variable Definition and System of Nonlinear Variational Inequalities ⋮ System of general variational inequalities involving different nonlinear operators related to fixed point problems and its applications ⋮ Some existence theorems for nonconvex variational inequalities problems ⋮ New approximation-solvability of general nonlinear operator inclusion couples involving \((A, \eta , m)\)-resolvent operators and relaxed cocoercive type operators ⋮ Existence and algorithm for solving the system of mixed variational inequalities in Banach spaces ⋮ Existence and stability of iterative algorithm for a system of random set-valued variational inclusion problems involving \((A, m, \eta)\)-generalized monotone operators ⋮ A new system of generalized mixed quasivariational inclusions with relaxed cocoercive operators and applications ⋮ A new system of multivalued mixed variational inequality problem ⋮ Existence and approximation of solutions for system of generalized mixed variational inequalities ⋮ A parallel resolvent method for solving a system of nonlinear mixed variational inequalities ⋮ Fixed point problems and a system of generalized nonlinear mixed variational inequalities ⋮ Approximation methods for solutions of generalized multi-valued mixed quasi-variational inclusion systems

Cites Work

• Unnamed Item
• Unnamed Item
• Generalized system for relaxed cocoercive variational inequalities and projection methods
• General convergence analysis for two-step projection methods and applications to variational problems
• General variational inequalities and nonexpansive mappings
• Solving variational inequalities involving nonexpansive type mappings
• Generalized system for relaxed cocoercive mixed variational inequalities in Hilbert spaces
• Convergence of the modified Mann's iteration method for asymptotically strict pseudo-contractions
• On the monotonicity of the gradient of a convex function
• Fixed Point Iteration for Local Strictly Pseudo-Contractive Mapping
• Generalized systems for relaxed cocoercive variational inequalities and projection methods in Hilbert spaces
• Generalized system for relaxed cocoercive variational inequalities in Hilbert spaces
• Projection methods, algorithms, and a new system of nonlinear variational inequalities

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