Convergence theorems for finding zero points of maximal monotone operators and equilibrium problems in Banach spaces

DOI10.1186/1029-242X-2013-247zbMath1364.47039OpenAlexW2097586771WikidataQ59300526 ScholiaQ59300526MaRDI QIDQ2637534

Yeol Je Cho, Siwaporn Saewan, Poom Kumam

Publication date: 12 February 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2013-247

zbMATH Keywords

maximal monotone operatorssystem of generalized equilibrium problemshybrid projection method

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (2)

Approximating iterations for nonexpansive and maximal monotone operators ⋮ Unnamed Item

Cites Work

• Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces
• Strong convergence theorem by a new hybrid method for equilibrium problems and variational inequality problems
• 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
• Monotone Operators and the Proximal Point Algorithm
• Strong Convergence of a Proximal-Type Algorithm in a Banach Space

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