Generalized projection and approximation of fixed points of nonself maps

DOI10.1016/S0021-9045(02)00021-7zbMath1022.47049OpenAlexW2093730089MaRDI QIDQ1867271

Melusi Khumalo, Habtu Zegeye, Charles E. Chidume

Publication date: 2 April 2003

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-9045(02)00021-7

zbMATH Keywords

stabilityfixed pointBanach spaceconvergence rategeneralized projectionasymptotically nonextensive mappingasymptotically weakly contractive mappingasymptotically weakly suppressive mapping

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

The generalized decomposition theorem in Banach spaces and its applications ⋮ Convergence theorems for common fixed points of nonself asymptotically nonextensive mappings ⋮ Strong convergence theorems for solutions of equilibrium problems and common fixed points of a finite family of asymptotically nonextensive nonself mappings ⋮ The projection methods in countably normed spaces ⋮ Fixed points in countably Hilbert spaces ⋮ Strong approximation of the solutions of a system of operator equations in Hilbert spaces ⋮ Strong convergence theorems for firmly nonexpansive-type mappings and equilibrium problems in Banach spaces

Cites Work

• Characteristic inequalities of uniformly convex and uniformly smooth Banach spaces
• Approximation methods for nonlinear operator equations of the \(m\)- accretive type
• Construction of fixed points of nonlinear mappings in Hilbert space
• On the projection methods for fixed point problems
• On the moduli of convexity and smoothness
• On Some Estimates for Projection Operator in Banach Space
• Fixed Points by a New Iteration Method
• Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
• Mean Value Methods in Iteration
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Generalized projection and approximation of fixed points of nonself maps