Mann iterative process for pseudocontractive mappings

DOI10.1007/S12215-011-0065-ZzbMath1244.47058OpenAlexW2064276052MaRDI QIDQ658953

Arif Rafiq

Publication date: 9 February 2012

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-011-0065-z

zbMATH Keywords

fixed pointiterative processLipschitzian mappingpseudocontractive mappingstrictly pseudocontractive mapping

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15) Fixed points and coincidences in algebraic topology (55M20)

Cites Work

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• Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
• A new one-step iterative scheme for approximating common fixed points of two multivalued nonexpansive mappings
• Convergence of the Mann iteration algorithm for a class of pseudocontractive mappings
• On Chidume's open questions and approximate solutions of multivalued strongly accretive mapping equations in Banach spaces
• Construction of fixed points of nonlinear mappings in Hilbert space
• Nonlinear semigroups and evolution equations
• The Solution by Iteration of Nonlinear Equations in Hilbert Spaces
• Mean Value Methods in Iteration
• Iterative sequences for asymptotically quasi-nonexpansive mappings.

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