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Bulletin of the Iranian Mathematical Society
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Convergence theorems of an implicit iteration process for asymptotically pseudocontractive mappings

Article 48, Volume 38, Number 3, September 2012, Page 699-713  XML PDF (285 K)
Document Type: Research Paper
Authors
Liping Yang
Guangdong University of Technology
Abstract
The purpose of this paper is to study the strong convergence of an implicit iteration process with errors to a common fixed point for a finite family of asymptotically pseudocontractive mappings and nonexpansive mappings in normed linear spaces. The results in this paper improve and extend the corresponding results of Xu and Ori, Zhou and Chang, Sun, Yang and Yu in some aspects.
Keywords
Implicit iteration process; Asymptotically pseudocontractive mappings; Nonexpansive mappings; Normed linear spaces; Fixed point
Main Subjects
46-XX Functional Analysis; 47-XX Operator theory
Statistics
Article View: 33
PDF Download: 27
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