Strong convergence of an ishikawa-type algorithm in CAT(0) spaces

Hafiz Fukhar-ud-din

doi:10.1186/1687-1812-2013-207

Strong convergence of an ishikawa-type algorithm in CAT(0) spaces

Hafiz Fukhar-ud-din^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

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

6 Scopus citations

Abstract

We study strong convergence of an Ishikawa-type algorithm of two asymptotically nonexpansive type maps to their common fixed point on a CAT(0) space. Our work provides an affirmative answer to the question of Tan and Xu (Proc. Am. Math. Soc. 122:733-739, 1994); in particular, strong convergence of an Ishikawa-type algorithm of two asymptotically nonexpansive maps without the rate of convergence condition is obtained on a nonlinear domain.

Original language	English
Article number	207
Journal	Fixed Point Theory and Algorithms for Sciences and Engineering
Volume	2013
DOIs	https://doi.org/10.1186/1687-1812-2013-207
State	Published - Aug 2013

Keywords

Asymptotically nonexpansive type map
Common fixed point
Ishikawa-type algorithm
Strong convergence
Uniform equicontinuity

ASJC Scopus subject areas

Geometry and Topology
Applied Mathematics

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10.1186/1687-1812-2013-207

Cite this

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KW - Asymptotically nonexpansive type map

KW - Common fixed point

KW - Ishikawa-type algorithm

KW - Strong convergence

KW - Uniform equicontinuity

UR - https://www.scopus.com/pages/publications/84899486279

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ER -

Strong convergence of an ishikawa-type algorithm in CAT(0) spaces

Abstract

Keywords

ASJC Scopus subject areas

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