Equivalency of convergence between one-step iteration algorithm and two-step iteration algorithm of variational inclusions for \(H\)-monotone mappings

DOI10.1016/j.camwa.2006.08.044zbMath1152.47304OpenAlexW2069969219MaRDI QIDQ2519629

Muhammad Aslam Noor, Zhen Yu Huang

Publication date: 27 January 2009

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.08.044

zbMATH Keywords

variational inclusionsequivalence of convergence\(H\)-monotone mappingsone-step iteration algorithmtwo-step iteration algorithm

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10)

Related Items (2)

Iterative approximation of fixed points and applications to two-point second-order boundary value problems and to machine learning ⋮ Unnamed Item

Cites Work

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• Characterization of \(H\)-monotone operators with applications to variational inclusions
• On the equivalence of the convergence criteria between modified Mann-Ishikawa and multi-step iterations with errors for successively strongly pseudo-contractive operators
• Comments on two fixed point iteration methods
• The solution by iteration of nonlinear equations in uniformly smooth Banach spaces
• \(H\)-monotone operator and resolvent operator technique for variational inclusions
• The equivalence between the convergences of Ishikawa and Mann iterations for an asymptotically nonexpansive in the intermediate sense and strongly successively pseudocontractive maps.
• The equivalence between Mann-Ishikawa iterations and multistep iteration
• Picard iteration converges faster than Mann iteration for a class of quasi-contractive operators
• A reconsideration on equivalency of convergence between iterations for uniformly \(L\)-Lipschitzian operators
• Mann iteration converges faster than Ishikawa iteration for the class of Zamfirescu operators
• Fixed Point Iteration for Local Strictly Pseudo-Contractive Mapping
• Fixed Points by a New Iteration Method
• Mean Value Methods in Iteration

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