Convergence of a hybrid projection algorithm in Banach spaces

DOI10.1007/s10440-008-9313-4zbMath1178.47048OpenAlexW2037420283MaRDI QIDQ1037624

Yeol Je Cho, Xiaolong Qin, Kang, Shin Min, Hai-Yun Zhou

Publication date: 16 November 2009

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-008-9313-4

zbMATH Keywords

strong convergenceprojectioncommon fixed pointquasi-\(\phi\)-nonexpansive mapping

Mathematics Subject Classification ID

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

Related Items

The hybrid algorithm for the system of mixed equilibrium problems, the general system of finite variational inequalities and common fixed points for nonexpansive semigroups and strictly pseudo-contractive mappings ⋮ Strong convergence theorems for nonlinear mappings, variational inequality problems and system of generalized mixed equilibrium problems ⋮ Two new algorithms to solve the system of generalized mixed equilibrium and fixed point problems in Banach spaces ⋮ Strong convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces ⋮ The shrinking projection method for solving variational inequality problems and fixed point problems in Banach spaces ⋮ Strong convergence theorems for family of nonexpansive mappings and system of generalized mixed equilibrium problems and variational inequality problems ⋮ A new hybrid iterative scheme for countable families of relatively quasi-nonexpansive mappings and system of equilibrium problems ⋮ Fixed point iterations of a pair of hemirelatively nonexpansive mappings ⋮ The modified Ishikawa iterative algorithm with errors for a countable family of Bregman totally quasi-\(D\)-asymptotically nonexpansive mappings in reflexive Banach spaces

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