Nonlinear algorithms approach to split common solution problems

DOI10.1186/1687-1812-2012-130zbMath1475.47056OpenAlexW2149887950WikidataQ59289873 ScholiaQ59289873MaRDI QIDQ383095

Wei-Shih Du, Zhen Hua He

Publication date: 25 November 2013

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2012-130

zbMATH Keywords

iterative algorithmequilibrium problemfixed point problemsplit common solution problem

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

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Cites Work

• Strong convergence theorems for equilibrium problems and fixed point problems: a new iterative method, some comments and applications
• The split equilibrium problem and its convergence algorithms
• A note on the split common fixed-point problem for quasi-nonexpansive operators
• A new mapping for finding common solutions of equilibrium problems and fixed point problems of finite family of nonexpansive mappings
• Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces
• Convergence theorems for equilibrium problem, variational inequality problem and countably infinite relatively quasi-nonexpansive mappings
• Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces
• A new method for solving equilibrium problem fixed point problem and variational inequality problem with application to optimization
• Iterative algorithms for finding common solutions of variational inequalities and systems of equilibrium problems and fixed points of families and semigroups of nonexpansive mappings
• Strong convergence of composite iterative methods for equilibrium problems and fixed point problems
• Equilibrium programming using proximal-like algorithms
• An iterative method for finding common solutions of equilibrium and fixed point problems
• Convergence theorem for equilibrium problems and fixed point problems of infinite family of nonexpansive mappings
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