Convergence theorems of common elements for equilibrium problems and fixed point problems

DOI10.1007/s10114-012-9202-7zbMath1251.47062OpenAlexW1983963558MaRDI QIDQ1758019

Hui Tong, Lijuan Zhang

Publication date: 7 November 2012

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-012-9202-7

zbMATH Keywords

strong convergencefixed pointasymptotically nonexpansive mappingequilibrium problems

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

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• Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces
• Equilibrium programming using proximal-like algorithms
• Strong convergence of modified Ishikawa iteration for two asymptotically nonexpansive mappings and semigroups
• Strong convergence of the CQ method for fixed point iteration processes
• Demiclosedness principle and asymptotic behavior for asymptotically nonexpansive mappings
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings

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