Convergence of a general iterative scheme for a finite family of asymptotically quasi-nonexpansive mappings in convex metric spaces and applications

Abdul Rahim Khan; M. A. Ahmed

doi:10.1016/j.camwa.2010.02.017

Convergence of a general iterative scheme for a finite family of asymptotically quasi-nonexpansive mappings in convex metric spaces and applications

Abdul Rahim Khan^*, M. A. Ahmed

^*Corresponding author for this work

Department of Mathematics

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

26 Scopus citations

Abstract

In this paper, we introduce the iterative scheme due to Khan, Domlo and Fukhar-ud-din (2008) [8] in convex metric spaces and establish strong convergence of this scheme to a unique common fixed point of a finite family of asymptotically quasi-nonexpansive mappings. As a consequence of our result, we obtain some related convergence theorems. Our results generalize some recent results obtained in [8].

Original language	English
Pages (from-to)	2990-2995
Number of pages	6
Journal	Computers and Mathematics with Applications
Volume	59
Issue number	8
DOIs	https://doi.org/10.1016/j.camwa.2010.02.017
State	Published - Apr 2010

Keywords

Asymptotically quasi-nonexpansive
Common fixed point
Convex metric spaces
General iterative scheme

ASJC Scopus subject areas

Modeling and Simulation
Computational Theory and Mathematics
Computational Mathematics

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10.1016/j.camwa.2010.02.017

Cite this

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abstract = "In this paper, we introduce the iterative scheme due to Khan, Domlo and Fukhar-ud-din (2008) [8] in convex metric spaces and establish strong convergence of this scheme to a unique common fixed point of a finite family of asymptotically quasi-nonexpansive mappings. As a consequence of our result, we obtain some related convergence theorems. Our results generalize some recent results obtained in [8].",

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AU - Khan, Abdul Rahim

AU - Ahmed, M. A.

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N2 - In this paper, we introduce the iterative scheme due to Khan, Domlo and Fukhar-ud-din (2008) [8] in convex metric spaces and establish strong convergence of this scheme to a unique common fixed point of a finite family of asymptotically quasi-nonexpansive mappings. As a consequence of our result, we obtain some related convergence theorems. Our results generalize some recent results obtained in [8].

AB - In this paper, we introduce the iterative scheme due to Khan, Domlo and Fukhar-ud-din (2008) [8] in convex metric spaces and establish strong convergence of this scheme to a unique common fixed point of a finite family of asymptotically quasi-nonexpansive mappings. As a consequence of our result, we obtain some related convergence theorems. Our results generalize some recent results obtained in [8].

KW - Asymptotically quasi-nonexpansive

KW - Common fixed point

KW - Convex metric spaces

KW - General iterative scheme

UR - https://www.scopus.com/pages/publications/77950189591

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ER -

Convergence of a general iterative scheme for a finite family of asymptotically quasi-nonexpansive mappings in convex metric spaces and applications

Abstract

Keywords

ASJC Scopus subject areas

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