Strong convergence of projection algorithms for a family of relatively quasi-nonexpansive mappings and an equilibrium problem in Banach spaces

DOI10.1080/02331930903477192zbMath1368.47051OpenAlexW2016743991MaRDI QIDQ3093078

Prasit Cholamjiak

Publication date: 12 October 2011

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331930903477192

zbMATH Keywords

strong convergencefixed pointprojection algorithmequilibrium problemrelatively quasi-nonexpansive mapping

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

Iterative methods for solving equilibrium problems, variational inequalities and fixed points of nonexpansive semigroups ⋮ Strong convergence theorem for total quasi-\(\phi\)-asymptotically nonexpansive mappings in a Banach space ⋮ Algorithms for solving generalized equilibrium problems and fixed points of nonexpansive semigroups in Hilbert spaces ⋮ The hybrid projection algorithm for finding the common fixed points of nonexpansive mappings and the zeroes of maximal monotone operators in Banach spaces

Cites Work

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• On iterative methods for equilibrium problems
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• Weak Convergence of Orbits of Nonlinear Operators in Reflexive Banach Spaces
• Strong Convergence of a Proximal-Type Algorithm in a Banach Space
• Fixed points of nonexpanding maps

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