Strong convergence of an implicit algorithm in CAT(0) spaces

Abdul Rahim Khan; Hafiz Fukhar-Ud-Din; Abdul Aziz Domlo

doi:10.1155/2011/173621

Strong convergence of an implicit algorithm in CAT(0) spaces

Abdul Rahim Khan
, Hafiz Fukhar-Ud-Din
, Abdul Aziz Domlo

Department of Mathematics

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

5 Scopus citations

Abstract

We establish strong convergence of an implicit algorithm to a common fixed point of a finite family of generalized asymptotically quasi-nonexpansive maps in CAT (0) spaces. Our work improves and extends several recent results from the current literature.

Original language	English
Article number	173621
Journal	Fixed Point Theory and Algorithms for Sciences and Engineering
Volume	2011
DOIs	https://doi.org/10.1155/2011/173621
State	Published - 2011

Bibliographical note

Funding Information:
The author A. R. Khan gratefully acknowledges King Fahd University of Petroleum and Minerals and SABIC for supporting research project no. SB100012.

ASJC Scopus subject areas

Geometry and Topology
Applied Mathematics

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10.1155/2011/173621

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title = "Strong convergence of an implicit algorithm in CAT(0) spaces",

abstract = "We establish strong convergence of an implicit algorithm to a common fixed point of a finite family of generalized asymptotically quasi-nonexpansive maps in CAT (0) spaces. Our work improves and extends several recent results from the current literature.",

author = "Khan, \{Abdul Rahim\} and Hafiz Fukhar-Ud-Din and Domlo, \{Abdul Aziz\}",

note = "Funding Information: The author A. R. Khan gratefully acknowledges King Fahd University of Petroleum and Minerals and SABIC for supporting research project no. SB100012.",

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AU - Khan, Abdul Rahim

AU - Fukhar-Ud-Din, Hafiz

AU - Domlo, Abdul Aziz

N1 - Funding Information: The author A. R. Khan gratefully acknowledges King Fahd University of Petroleum and Minerals and SABIC for supporting research project no. SB100012.

PY - 2011

Y1 - 2011

N2 - We establish strong convergence of an implicit algorithm to a common fixed point of a finite family of generalized asymptotically quasi-nonexpansive maps in CAT (0) spaces. Our work improves and extends several recent results from the current literature.

AB - We establish strong convergence of an implicit algorithm to a common fixed point of a finite family of generalized asymptotically quasi-nonexpansive maps in CAT (0) spaces. Our work improves and extends several recent results from the current literature.

UR - https://www.scopus.com/pages/publications/79952170378

U2 - 10.1155/2011/173621

DO - 10.1155/2011/173621

M3 - Article

AN - SCOPUS:79952170378

SN - 1687-1820

VL - 2011

JO - Fixed Point Theory and Algorithms for Sciences and Engineering

JF - Fixed Point Theory and Algorithms for Sciences and Engineering

M1 - 173621

ER -

Strong convergence of an implicit algorithm in CAT(0) spaces

Abstract

Bibliographical note

ASJC Scopus subject areas

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Cite this