Convergence and certain control conditions for hybrid iterative algorithms

DOI10.1016/J.AMC.2013.04.004zbMath1364.47041OpenAlexW2168726305MaRDI QIDQ2511705

Shuang Wang

Publication date: 6 August 2014

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.04.004

zbMATH Keywords

fixed pointsstrong convergencevariational inequalityHilbert spaces\(\eta\)-strongly monotone\(k\)-Lipschitzian

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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• Convergence of hybrid steepest-descent methods for variational inequalities
• A new hybrid iterative algorithm for variational inequalities
• A new method for solving equilibrium problem fixed point problem and variational inequality problem with application to optimization
• Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• Convergence theorem for equilibrium problems and fixed point problems of infinite family of nonexpansive mappings
• Iterative Algorithms for Nonlinear Operators
• Convergence theorems for nonexpansive mappings and feasibility problems
• Strong convergence to common fixed points of infinite nonexpansive mappings and applications

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