Approximating the zeros of accretive operators by the Ishikawa iteration process

DOI10.1155/S1085337596000073zbMath0945.47044OpenAlexW2052527455MaRDI QIDQ1809716

Yuting Jia, Hai-Yun Zhou

Publication date: 4 October 2000

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/48529

zbMATH Keywords

accretive operatorIshikawa iterationnonexpansive operator

Mathematics Subject Classification ID

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

Related Items (11)

New convergence theorems for certain iterative schemes in Banach spaces ⋮ Approximations for fixed points of \(\phi\)-hemicontractive mappings by the Ishikawa iterative process with mixed errors ⋮ Weak stability of the Ishikawa iteration procedures for \(\phi\)-hemicontractions and accretive operators ⋮ Non-expansive mappings and iterative methods in uniformly convex Banach spaces ⋮ An algorithm for computing zeros of generalized phi-strongly monotone and bounded maps in classical Banach spaces ⋮ COMPUTATION OF ZEROS OF MONOTONE TYPE MAPPINGS: ON CHIDUME’S OPEN PROBLEM ⋮ A note on a theorem of Xu and Roach ⋮ Characteristic conditions for convergence of generalized steepest descent approximation to multivalued accretive operator equations ⋮ Stable iteration procedures for strong pseudocontractions and nonlinear equations involving accretive operators without Lipschitz assumption ⋮ A characteristic condition for convergence of steepest descent approximation to accretive operator equations ⋮ Iterative solution of nonlinear equations with strongly accretive operators in Banach spaces

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