Convergences of nonexpansive iteration processes in Banach spaces

DOI10.1016/S0022-247X(02)00228-7zbMath1031.47046OpenAlexW2072109886MaRDI QIDQ1856825

Jong Soo Jung

Publication date: 11 February 2003

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

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00228-7

zbMATH Keywords

weak convergencenonexpansive mappingdual weak almost convergence

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)

Related Items

Common zero point for a finite family of inclusion problems of accretive mappings in Banach spaces ⋮ Strong convergence theorems for a common zero of a finite family of \(m\)-accretive mappings ⋮ Iterative approximation of a common zero of a countably infinite family of \(m\)-accretive operators in Banach spaces

Cites Work

• Unnamed Item
• Strong convergence theorems for accretive operators in Banach spaces
• Product formulas, nonlinear semigroups, and accretive operators
• Approximating fixed points of nonexpansive and generalized nonexpansive mappings
• A contribution to the theory of divergent sequences
• Approximating Fixed Points of Nonexpansive Mappings
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• On successive approximations for nonexpansive mappings in Banach spaces

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