Stability of Ishikawa iteration methods with errors for strong pseudocontractions and nonlinear equations involving accretive operators in arbitrary real Banach spaces

DOI10.1016/S0895-7177(01)00064-4zbMath1004.47043OpenAlexW2010390402WikidataQ126669288 ScholiaQ126669288MaRDI QIDQ5943359

Liu, Zeqing, Kang, Shin Min

Publication date: 18 March 2002

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(01)00064-4

zbMATH Keywords

Ishikawa iteration procedures with errorsLipschitz strongly pseudocontractionnonlinear equations involving accretive operators

Mathematics Subject Classification ID

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

Related Items

Almost stability of the Mann type iteration method with error term involving strictly hemicontractive mappings in smooth Banach spaces ⋮ The equivalence between the convergences of Mann and Ishikawa iteration methods with errors for demicontinuous \(\varphi \)-strongly accretive operators in uniformly smooth Banach spaces ⋮ Implicit Mann type iteration method involving strictly hemicontractive mappings in Banach spaces ⋮ Exponential inequalities for Mann’s iterative scheme with functional random errors

Cites Work

• Unnamed Item
• Unnamed Item
• Fixed point theorems and stability results for fixed point iteration procedures
• Some fixed point iteration procedures
• An iterative process for nonlinear Lipschitzian strongly accretive mappings in \(L_ p\) spaces
• Fixed point theorems and stability results for fixed point iteration procedures. II
• Stable iteration procedures for strong pseudo-contractions and nonlinear operator equations of the accretive type
• Stable iteration procedures for nonlinear pseudocontractive and accretive operators in arbitrary Banach spaces
• Zeros of accretive operators
• Iterative solution of nonlinear equations with strongly accretive operators
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• A stable iteration procedure for quasi-contractive maps
• Nonlinear semigroups and evolution equations
• A convergence theorem of the sequence of Ishikawa iterates for quasi- contractive mappings
• Fixed Points by a New Iteration Method
• Nonlinear mappings of nonexpansive and accretive type in Banach spaces
• A Global Existence Theorem for Autonomous Differential Equations in a Banach Space
• Mean Value Methods in Iteration