A new composite implicit iterative process for a finite family of nonexpansive mappings in Banach spaces

DOI10.1155/FPTA/2006/82738zbMath1143.47304OpenAlexW2086824421MaRDI QIDQ2427447

Jing Lu, Feng Gu

Publication date: 13 May 2008

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/54431

zbMATH Keywords

strong convergenceweak convergenceimplicit iteration process with errors

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

Weak and strong convergence of an implicit iteration process for an asymptotically quasi-I-nonexpansive mapping in Banach space ⋮ On the convergence theorems of implicit iteration process for a finite family of \(I\)-asymptotically nonexpansive mappings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Strong convergence theorems for resolvents of accretive operators in Banach spaces
• Approximation of fixed points of nonexpansive mappings
• Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
• The approximation of fixed points of compositions of nonexpansive mappings in Hilbert space
• Quadratic optimization of fixed points for a family of nonexpansive mappings in Hilbert space
• Convergence theorems for a common fixed point of a finite family of nonself nonexpansive mappings
• AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS
• Multivalued Nonexpansive Mappings and Opial's Condition
• Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
• The Nonlinear Ergodic Theorem for Asymptotically Nonexpansive Mappings in Banach Spaces
• Strong convergence theorems for asymptotically nonexpansive semigroups in Hilbert spaces
• CONVERGENCE OF IMPLICIT ITERATION PROCESS FOR A FINITE FAMILY OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN BANACH SPACES
• Fixed points of nonexpanding maps
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings