Approximation of Common Fixed Point of Two Quasi-nonexpansive Mappings in Convex Metric Spaces

H. Fukhar-ud-din; A. R. Khan

doi:10.1007/s00009-018-1121-0

Approximation of Common Fixed Point of Two Quasi-nonexpansive Mappings in Convex Metric Spaces

H. Fukhar-ud-din^*, A. R. Khan

^*Corresponding author for this work

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

3 Scopus citations

Abstract

We use a simple iterative algorithm for two quasi-nonexpansive mappings to approximate their common fixed point through ▵-convergence and strong convergence of the algorithm. Our results are new in the literature of metrical fixed point theory and are also valid in CAT(0) spaces.

Original language	English
Article number	77
Journal	Mediterranean Journal of Mathematics
Volume	15
Issue number	3
DOIs	https://doi.org/10.1007/s00009-018-1121-0
State	Published - 1 Jun 2018

Bibliographical note

Publisher Copyright:
© 2018, Springer International Publishing AG, part of Springer Nature.

Keywords

Convex metric space
common fixed point
convergence
iterative algorithm
jointly demiclosed principle
quasi-nonexpansive mapping

ASJC Scopus subject areas

General Mathematics

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10.1007/s00009-018-1121-0

Cite this

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title = "Approximation of Common Fixed Point of Two Quasi-nonexpansive Mappings in Convex Metric Spaces",

abstract = "We use a simple iterative algorithm for two quasi-nonexpansive mappings to approximate their common fixed point through ▵-convergence and strong convergence of the algorithm. Our results are new in the literature of metrical fixed point theory and are also valid in CAT(0) spaces.",

keywords = "Convex metric space, common fixed point, convergence, iterative algorithm, jointly demiclosed principle, quasi-nonexpansive mapping",

author = "H. Fukhar-ud-din and Khan, \{A. R.\}",

note = "Publisher Copyright: {\textcopyright} 2018, Springer International Publishing AG, part of Springer Nature.",

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AU - Fukhar-ud-din, H.

AU - Khan, A. R.

PY - 2018/6/1

Y1 - 2018/6/1

N2 - We use a simple iterative algorithm for two quasi-nonexpansive mappings to approximate their common fixed point through ▵-convergence and strong convergence of the algorithm. Our results are new in the literature of metrical fixed point theory and are also valid in CAT(0) spaces.

AB - We use a simple iterative algorithm for two quasi-nonexpansive mappings to approximate their common fixed point through ▵-convergence and strong convergence of the algorithm. Our results are new in the literature of metrical fixed point theory and are also valid in CAT(0) spaces.

KW - Convex metric space

KW - common fixed point

KW - convergence

KW - iterative algorithm

KW - jointly demiclosed principle

KW - quasi-nonexpansive mapping

UR - https://www.scopus.com/pages/publications/85045023721

U2 - 10.1007/s00009-018-1121-0

DO - 10.1007/s00009-018-1121-0

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JO - Mediterranean Journal of Mathematics

JF - Mediterranean Journal of Mathematics

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ER -

Approximation of Common Fixed Point of Two Quasi-nonexpansive Mappings in Convex Metric Spaces

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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