An alternative regularization method for equilibrium problems and fixed point of nonexpansive mappings

DOI10.1155/2012/202860zbMath1318.47094OpenAlexW1550752461WikidataQ58906366 ScholiaQ58906366MaRDI QIDQ442818

Shuo Sun

Publication date: 6 August 2012

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

Full work available at URL: https://doi.org/10.1155/2012/202860

zbMATH Keywords

strong convergencevariational inequalitynonexpansive mappings

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Nonlinear ill-posed problems (47J06)

Related Items (2)

A splitting algorithm for finding fixed points of nonexpansive mappings and solving equilibrium problems ⋮ Strong convergence theorems for equilibrium problems involving a family of nonexpansive mappings

Cites Work

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• Viscosity approximation methods for fixed-points problems
• Nonexpansive projections on subsets of Banach spaces
• Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces
• Monotone Operators and the Proximal Point Algorithm
• EXISTENCE AND APPROXIMATION OF SOLUTIONS OF NONLINEAR VARIATIONAL INEQUALITIES
• Weak convergence of the sequence of successive approximations for nonexpansive mappings

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