Synchronal and cyclic algorithms for fixed point problems and variational inequality problems in Banach spaces

DOI10.1186/1687-1812-2013-202zbMath1483.47094arXiv1508.06835OpenAlexW3105254749WikidataQ59299542 ScholiaQ59299542MaRDI QIDQ2253219

Afis Saliu, Lawan Bulama Mohammed, Abba Auwalu

Publication date: 25 July 2014

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.06835

zbMATH Keywords

strong convergencevariational inequalitycommon fixed pointcyclic algorithm\(q\)-uniformly smooth Banach spacesynchronal algorithm\(k\)-strict pseudocontractions

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

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• Synchronal algorithm and cyclic algorithm for fixed point problems and variational inequality problems in Hilbert spaces
• A general iterative algorithm for nonexpansive mappings in Banach spaces
• Weak convergence theorems of three iterative methods for strictly pseudocontractive mappings of Browder-Petryshyn type
• A general iterative algorithm for nonexpansive mappings in Hilbert spaces
• Normal structure coefficients for Banach spaces
• A general iterative method for nonexpansive mappings in Hilbert spaces
• Convergence theorems of common fixed points for a finite family of Lipschitz pseudocontractions in Banach spaces
• Strong convergence theorems on an iterative method for a family of finite nonexpansive mappings in reflexive Banach spaces
• Geometric properties of Banach spaces and nonlinear iterations
• A characterization of strict convexity of Banach spaces and other uses of duality mappings
• Iterative Algorithms for Nonlinear Operators
• Inequalities in Banach spaces with applications
• Fixed point theorems for asymptotically nonexpansive mappings
• Convergence of paths and approximation of fixed points of asymptotically nonexpansive mappings

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