Two block hybrid projection method for solving a common solution for a system of generalized equilibrium problems and fixed point problems for two countable families

DOI10.1007/S11590-012-0520-6zbMathNoneOpenAlexW1986248601WikidataQ59306998 ScholiaQ59306998MaRDI QIDQ395841

Pongrus Phuangphoo, Poom Kumam

Publication date: 30 January 2014

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11590-012-0520-6

zbMATH Keywords

equilibrium problemcommon solutionfixed point problemiterative sequencetwo block hybrid projection method

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Equations involving nonlinear operators (general) (47J05) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (2)

Shrinking approximants for fixed point problem and generalized split null point problem in Hilbert spaces ⋮ A hybrid inertial algorithm for approximating solution of convex feasibility problems with applications

Cites Work

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• Convergence theorems of a modified hybrid algorithm for a family of quasi-\(\varphi \)-asymptotically nonexpansive mappings
• Weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces
• Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces
• Existence and Approximation of Fixed Points of Firmly Nonexpansive-Type Mappings in Banach Spaces
• Strong Convergence of a Proximal-Type Algorithm in a Banach Space
• Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications

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