Convergence of an implicit algorithm for two families of nonexpansive mappings

Safeer H Khan; Isa Yildirim; Murat Ozdemir

doi:10.1016/j.camwa.2010.02.029

Convergence of an implicit algorithm for two families of nonexpansive mappings

Safeer H Khan
, Isa Yildirim
, Murat Ozdemir

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

In this paper, we study an implicit iterative algorithm for two nonexpansive mappings and two finite families of nonexpansive mappings in Banach spaces. We prove some weak and strong convergence theorems for these iterative algorithms. Our results extend some existing results. © 2010 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	3084-3091
Number of pages	8
Journal	Computers and Mathematics with Applications
Volume	59
Issue number	9
DOIs	https://doi.org/10.1016/j.camwa.2010.02.029
State	Published - May 1 2010

Keywords

Condition (A′)
Implicit iterative algorithm
Nonexpansive mapping

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10.1016/j.camwa.2010.02.029

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abstract = "In this paper, we study an implicit iterative algorithm for two nonexpansive mappings and two finite families of nonexpansive mappings in Banach spaces. We prove some weak and strong convergence theorems for these iterative algorithms. Our results extend some existing results. {\textcopyright} 2010 Elsevier Ltd. All rights reserved.",

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AU - Ozdemir, Murat

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N2 - In this paper, we study an implicit iterative algorithm for two nonexpansive mappings and two finite families of nonexpansive mappings in Banach spaces. We prove some weak and strong convergence theorems for these iterative algorithms. Our results extend some existing results. © 2010 Elsevier Ltd. All rights reserved.

AB - In this paper, we study an implicit iterative algorithm for two nonexpansive mappings and two finite families of nonexpansive mappings in Banach spaces. We prove some weak and strong convergence theorems for these iterative algorithms. Our results extend some existing results. © 2010 Elsevier Ltd. All rights reserved.

KW - Condition (A′)

KW - Implicit iterative algorithm

KW - Nonexpansive mapping

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JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 9

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Convergence of an implicit algorithm for two families of nonexpansive mappings

Abstract

Keywords

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