A note on the stability of iteration procedures for strong pseudocontractions and strongly accretive type equations

DOI10.1006/jmaa.2000.6993zbMath0984.47047OpenAlexW2017617652MaRDI QIDQ1589729

R. Smith

Publication date: 5 May 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/f6edaba35054ecd6cf2ee895f7f38434940f8624

zbMATH Keywords

Mann and Ishikawa iteration proceduresLipschitz strong pseudocontractionsreal uniformly smooth Banach spaces

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Convergence, stability, and data dependence of a new iterative algorithm with an application ⋮ Convergence and stability of generalized \(\varphi\)-weak contraction mapping in \(CAT(0)\) spaces ⋮ On stationary and nonstationary iterative methods for nonexpansive type mappings in Banach spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Fixed point theorems and stability results for fixed point iteration procedures
• Some fixed point iteration procedures
• 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 pseudocontractions and nonlinear equations involving accretive operators without Lipschitz assumption
• 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
• Ishikawa and Mann iteration methods with errors for nonlinear equations of the accretive type
• Iterative solution of nonlinear equations of the \(\Phi\)-strongly accretive type
• An iterative procedure for constructing zeros of accretive sets in Banach spaces
• Iterative solutions of nonlinear φ-strongly accretive operator equations in arbitrary Banach spaces

This page was built for publication: A note on the stability of iteration procedures for strong pseudocontractions and strongly accretive type equations