Hybrid pseudoviscosity approximation schemes for equilibrium problems and fixed point problems of infinitely many nonexpansive mappings

DOI10.1016/j.nahs.2010.05.001zbMath1295.47075OpenAlexW2072413528MaRDI QIDQ608371

Lu-Chuan Ceng, Jen-Chih Yao, Qamrul Hasan Ansari

Publication date: 25 November 2010

Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nahs.2010.05.001

zbMATH Keywords

fixed pointnonexpansive mappingequilibrium problemhybrid pseudoviscosity approximation schemesstrongly positive linear bounded operators

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

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Cites Work

• Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces
• Approximation of fixed points of nonexpansive mappings
• Equilibrium programming using proximal-like algorithms
• Existence theory for finite-dimensional pseudomonotone equilibrium problems
• Equilibrium problems with applications to eigenvalue problems
• Equilibrium problems under generalized convexity and generalized monotonicity
• The existence of nonlinear inequalities
• Viscosity approximation methods for fixed-points problems
• A general iterative method for nonexpansive mappings in Hilbert spaces
• Convergence theorem for equilibrium problems and fixed point problems of infinite family of nonexpansive mappings
• Hybrid viscosity approximation schemes for equilibrium problems and fixed point problems of infinitely many nonexpansive mappings
• Implicit iteration scheme with perturbed mapping for common fixed points of a finite family of nonexpansive mappings
• Iterative approaches to convex feasibility problems in Banach spaces
• Existence Theorems for Generalized Noncoercive Equilibrium Problems: The Quasi-Convex Case
• Iterative Algorithms for Nonlinear Operators
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• Strong convergence to common fixed points of infinite nonexpansive mappings and applications
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