On Picard iterations for strongly accretive and strongly pseudo-contractive Lipschitz mappings

DOI10.1016/j.na.2008.10.001zbMath1225.47092OpenAlexW2001411718MaRDI QIDQ1015139

Arif Rafiq, Ljubomir B. Ćirić, Nenad P. Cakić

Publication date: 7 May 2009

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.2008.10.001

zbMATH Keywords

Banach spacesBanach spacePicard iterationLipschitzian mappingstrictly pseudo-contractive mappingasymptotically pseudo-contractive mappings

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) Numerical solutions to equations with nonlinear operators (65J15)

Related Items

On the convergence of implicit Picard iterative sequences for strongly pseudocontractive mappings in Banach spaces ⋮ Picard iterations for nonexpansive and Lipschitz strongly accretive mappings in a real Banach space ⋮ Fixed points of α-dominated mappings on dislocated quasi metric spaces

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