Fixed point problems and a system of generalized nonlinear mixed variational inequalities

DOI10.1186/1687-1812-2013-186zbMath1476.47064OpenAlexW2106404116WikidataQ59299698 ScholiaQ59299698MaRDI QIDQ2253235

Javad Balooee, Narin Petrot

Publication date: 25 July 2014

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2013-186

zbMATH Keywords

convergencefixed point problemsnearly uniformly Lipschitzian mappingsystem of generalized mixed variational inequalitiesthree-step resolvent iterative algorithm

Mathematics Subject Classification ID

Variational inequalities (49J40) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25)

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A Valuable Remark on Lipschitz in the First Variable Definition and System of Nonlinear Variational Inequalities

Cites Work

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• The Wiener-Hopf equation technique for solving general nonlinear regularized nonconvex variational inequalities
• Existence and stability of iterative algorithms for the system of nonlinear quasi-mixed equilibrium problems
• Generalized system for relaxed cocoercive variational inequalities and projection methods
• General convergence analysis for two-step projection methods and applications to variational problems
• On a system of general mixed variational inequalities
• Three-step methods for nonexpansive mappings and variational inequalities
• Systems of generalized nonlinear variational inequalities and its projection methods
• Asymptotic pointwise contractions
• A resolvent operator technique for approximate solving of generalized system mixed variational inequality and fixed point problems
• Splitting methods for pseudomonotone mixed variational inequalities
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• Generalized system for relaxed cocoercive mixed variational inequalities in Hilbert spaces
• Characterization of the subdifferentials of convex functions
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• Splitting Algorithms for the Sum of Two Nonlinear Operators
• A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
• Convergence theorem for zeros of generalized Lipschitz generalized phi-quasi-accretive operators
• Generalized system for relaxed cocoercive variational inequalities in Hilbert spaces
• Projection methods, algorithms, and a new system of nonlinear variational inequalities