Weak convergence theorem for the three-step iterations of non-Lipschitzian nonself mappings in Banach spaces
type: Item
instance of: scholarly article
title: Weak convergence theorem for the three-step iterations of non-Lipschitzian nonself mappings in Banach spaces
zbMATH Open document ID: 1311.47103
DOI: 10.1186/1687-1812-2011-106
author: Lanping Zhu
author: Qianglian Huang
author: Xiaoru Chen
published in: Fixed Point Theory and Applications
publication date: 2013-08-23T00:00:00Z
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 46B20
zbMATH DE Number: 6201231
zbMATH Keywords: asymptotically nonexpansive in the intermediate sense non-self mapping
zbMATH Keywords: Kadec-Klee property
zbMATH Keywords: Opial's condition
zbMATH Keywords: common fixed point
Wikidata QID: Q59255338
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1186/1687-1812-2011-106
OpenAlex ID: W2166947124
cites work: Mean Value Methods in Iteration
cites work: Fixed Points and Iteration of a Nonexpansive Mapping in a Banach Space
cites work: A note on segmenting Mann iterates
cites work: Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
cites work: Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
cites work: New approximation schemes for general variational inequalities
cites work: Fixed-point iterations for asymptotically nonexpansive mappings in Banach spaces
cites work: Weak and strong convergence theorems for three-step iterations with errors for asymptotically nonexpansive mappings
cites work: Weak and strong convergence criteria of Noor iterations for asymptotically nonexpansive mappings
cites work: Fixed point solutions of variational inequalities for asymptotically nonexpansive mappings in Banach spaces
cites work: Approximating common fixed points of two asymptotically quasi-nonexpansive mappings in Banach spaces
cites work: On the convergence of modified Noor iterations with errors for asymptotically nonexpansive mappings
cites work: On strong convergence by the hybrid method for equilibrium and fixed point problems for an infinite family of asymptotically nonexpansive mappings
cites work: Approximating fixed points of non-self nonexpansive mappings in Banach spaces
cites work: Strong and weak convergence theorems for asymptotically nonexpansive mappings.
cites work: Convergence theorems for common fixed points of nonself asymptotically quasi-non-expansive mappings
cites work: Common fixed points of new iterations for two asymptotically nonexpansive nonself-mappings in a Banach space
cites work: Convergence theorems for Noor iterations with errors of asymptotically nonexpansive nonself mappings in Banach spaces
cites work: Convergence Theorems for Mappings Which Are Asymptotically Nonexpansive in the Intermediate Sense
cites work: Mann and Ishikawa iterations with errors for non-Lipschitzian mappings in Banach spaces
cites work: Strong convergence theorems for three-step iterations with errors for non-Lipschitzian nonself-mappings in Banach spaces
cites work: A simple proof of the mean ergodic theorem for nonlinear contractions in Banach spaces
cites work: Q5440767
cites work: Weak convergence of almost orbits of asymptotically nonexpansive commutative semigroups
cites work: Some problems and results in the study of nonlinear analysis
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description: scientific article; zbMATH DE number 6201231