Hybrid iterative scheme for generalized equilibrium problems and fixed point problems of finite family of nonexpansive mappings

DOI10.1016/j.nahs.2009.01.012zbMath1226.47076OpenAlexW2018835989MaRDI QIDQ963757

Atid Kangtunyakarn, Suthep Suantai

Publication date: 14 April 2010

Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nahs.2009.01.012

zbMATH Keywords

strong convergencefixed pointgeneralized equilibrium probleminverse-strongly monotonefinite families of nonexpansive mapping

Mathematics Subject Classification ID

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

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Cites Work

• Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces
• Strong convergence theorem for a generalized equilibrium problem and a nonexpansive mapping in a Hilbert space
• Weak and strong convergence theorems for a nonexpansive mapping and an equilibrium problem
• Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
• Another control condition in an iterative method for nonexpansive mappings
• Convergence theorems for nonexpansive mappings and feasibility problems
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