Convergence of an implicit iterative process for asymptotically pseudocontractive nonself-mappings
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Publication:640107
DOI10.1016/j.na.2011.04.031zbMath1368.47078OpenAlexW2034741275MaRDI QIDQ640107
Xiaolong Qin, Sun Young Cho, Tianze Wang, Kang, Shin Min
Publication date: 17 October 2011
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2011.04.031
weak convergencefixed pointHilbert spacesasymptotically nonexpansive nonself-mappingimplicit iterative processasymptotically pseudocontractive nonself-mapping
Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
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Cites Work
- Implicit iteration process for common fixed points of a finite family of strictly pseudocontractive maps
- Iterative construction of fixed points of asymptotically nonexpansive mappings
- Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
- Common fixed points of new iterations for two asymptotically nonexpansive nonself-mappings in a Banach space
- Asymptotically strict pseudocontractive mappings in the intermediate sense
- A new iterative process for common fixed points of finite families of non-self-asymptotically non-expansive mappings
- Comments on two fixed point iteration methods
- Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
- Strong convergence of an implicit iteration process for a finite family of asymptotically quasi-nonexpansive mappings.
- Approximating fixed points of non-self nonexpansive mappings in Banach spaces
- Strong and weak convergence theorems for asymptotically nonexpansive mappings.
- Iterative methods for strict pseudo-contractions in Hilbert spaces
- Some weak convergence theorems for a family of asymptotically nonexpansive nonself mappings
- Common fixed points of a finite family of asymptotically pseudocontractive maps
- A new iterative algorithm for approximating common fixed points for asymptotically nonexpansive mappings
- Convergence of the modified Mann's iteration method for asymptotically strict pseudo-contractions
- Construction of fixed points of nonlinear mappings in Hilbert space
- On the convergence of implicit iteration process with error for a finite family of asymptotically nonexpansive mappings
- AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS
- Strong convergence of approximants to fixed points of nonexpansive nonself-mappings in Banach spaces
- Strong convergence theorems for nonexpansive nonself-mappings
- Approximating curves of nonexpansive nonself-mappings in Banach spaces
- Convergence theorems of the sequence of iterates for asymptotically demicontractive and hemicontractive mappings
- Weak convergence of the sequence of successive approximations for nonexpansive mappings
- A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
