Some convergence problem of iterative sequences for accretive and pseudo-contractive type mapping in Banach spaces

DOI10.1007/BF02436208zbMath1026.47058MaRDI QIDQ698972

Publication date: 6 July 2003

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

accretive mapping pseudo-contractive mapping Ishikawa iterative sequence Mann iterative sequence hemi-accretive mapping hemi-pseudo-contractive mapping steepest descent sequence

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25)

Cites Work

A necessary and sufficient condition for convergence of steepest descent approximation to accretive operator equations
Iterative approximations of fixed points and solutions for strongly accretive and strongly pseudo-contractive mappings in Banach spaces
Iterative solutions to nonlinear equations of strongly accretive operators in Banach spaces
On Chidume's open questions and approximate solutions of multivalued strongly accretive mapping equations in Banach spaces
Zeros of accretive operators
Iterative solution of nonlinear equations with strongly accretive operators
Nonlinear semigroups and evolution equations
Global iteration schemes for strongly pseudo-contractive maps
Approximation of fixed points of a strictly pseudocontractive mapping
Approximation of fixed points of strongly pseudocontractive maps without Lipschitz assumption
Some problems and results in the study of nonlinear analysis
Nonlinear accretive and pseudo-contractive operator equations in Banach spaces
Iterative approximation of Lipschitz strictly pseudocontractive mappings in uniformly smooth Banach spaces
Steepest descent approximations for accretive operator equations
Nonlinear mappings of nonexpansive and accretive type in Banach spaces
A Global Existence Theorem for Autonomous Differential Equations in a Banach Space
Local boundedness of monotone-type operators

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