Weak and Strong Convergence of an Implicit Iteration Process in Uniformly Convex Banach Spaces

DOI10.1080/01630563.2011.572471zbMath1221.47135OpenAlexW2104089529MaRDI QIDQ3016316

Murat Ozdemir, Isa Yildirim

Publication date: 15 July 2011

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2011.572471

zbMATH Keywords

nonexpansive mappingsimplicit iterative algorithmsemicompactcondition (\(A^{\prime}\))

Mathematics Subject Classification ID

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

Cites Work

• The approximation of fixed points of compositions of nonexpansive mappings in Hilbert space
• Strong convergence of an implicit iteration process for a finite family of nonexpansive mappings
• AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS
• Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
• Implicit Iterations of Two Finite Families for Nonexpansive Mappings in Banach Spaces
• Weak convergence of the sequence of successive approximations for nonexpansive mappings