Convergence and almost stability of Ishikawa iterative scheme with errors for \(m\)-accretive operators

DOI10.1016/S0898-1221(04)90063-6zbMath1081.47068MaRDI QIDQ1767793

Yeol Je Cho, Liu, Zeqing, Kang, Shin Min

Publication date: 8 March 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

strong convergencedissipative operator\(m\)-accretive operatoruniformly smooth Banach spacesIshikawa iteration sequence with errorsalmost stabilitygeneralised Lipschitzian operator

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Characteristic inequalities of uniformly convex and uniformly smooth Banach spaces
• Comments on two fixed point iteration methods
• Ishikawa and Mann iterative processes with error for nonlinear strongly accretive operator equations
• Stability of the Mann and Ishikawa iteration procedures for \(\phi\)-strong pseudocontractions and nonlinear equations of the \(\phi\)-strongly accretive type
• 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
• Approximation methods for nonlinear operator equations of the \(m\)- accretive type
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• An iterative procedure for constructing zeros of accretive sets in Banach spaces
• Fixed Points by a New Iteration Method
• A Global Existence Theorem for Autonomous Differential Equations in a Banach Space
• Mean Value Methods in Iteration

This page was built for publication: Convergence and almost stability of Ishikawa iterative scheme with errors for \(m\)-accretive operators