Approximation of common solutions for a fixed point problem of asymptotically nonexpansive mapping and a generalized equilibrium problem in Hilbert space

DOI10.1186/S42787-019-0051-8zbMath1501.47106OpenAlexW2989186658MaRDI QIDQ2297496

Richard Osward, Mengistu Goa Sangago, Santosh Kumar

Publication date: 20 February 2020

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s42787-019-0051-8

zbMATH Keywords

fixed pointsiterative algorithmstrong convergenceasymptotically nonexpansive mappinggeneralized equilibrium problem

Mathematics Subject Classification ID

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

Cites Work

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• Strong convergence theorem for a generalized equilibrium problem and a nonexpansive mapping in a Hilbert space
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• Weak and strong convergence theorems for three-step iterations with errors for asymptotically nonexpansive mappings
• Construction of fixed points of nonlinear mappings in Hilbert space
• Iterative Algorithms for Nonlinear Operators
• Another control condition in an iterative method for nonexpansive mappings
• Fixed Point Theory for Lipschitzian-type Mappings with Applications
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings

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