A new iteration process for generalized Lipschitz pseudo-contractive and generalized Lipschitz accretive mappings

DOI10.1016/j.na.2006.05.012zbMath1123.47046OpenAlexW2082959230MaRDI QIDQ880300

Charles E. Chidume, Eric U. Ofoedu

Publication date: 15 May 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.05.012

zbMATH Keywords

fixed pointiterative methodBanach spaceaccretive mappingconvergence theorempseudo-contractive mappinggeneralized Lipschitz mapping

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Equations involving nonlinear operators (general) (47J05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Convergence theorem for an iterative algorithm of \(\lambda\)-strict pseudocontraction ⋮ Further investigation on iteration processes for pseudocontractive mappings with application ⋮ A new iteration process for finite families of generalized Lipschitz pseudo-contractive and generalized Lipschitz accretive mappings ⋮ Necessary and sufficient condition for Mann iteration converges to a fixed point of Lipschitzian mappings ⋮ A note on the paper ``A new iteration process for generalized Lipschitz pseudo-contractive and generalized Lipschitz accretive mappings ⋮ Strong convergence of viscosity approximation methods with strong pseudocontraction for Lipschitz pseudocontractive mappings

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