Fixed-Point Convergence Results of a Three-Step Iterative Process in CAT(0) Spaces

Fixed-Point Convergence Results of a Three-Step Iterative Process in CAT(0) Spaces

In this article, we suggest some Δ and strong convergence results of a three-step Sahu–Thakur iteration process for Garcia-Falset maps in the nonlinear setting of CAT(0) spaces. We furnish a new example of Garcia-Falset maps and prove that its three-step Sahu–Thakur iterative process is more effecti...

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Main Authors: Kifayat Ullah, Junaid Ahmad, Muhammad Arshad, Manuel De la Sen
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2021/5522926
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spelling doaj-c00ffbcc2f8a474eacc068742f559f962021-06-28T01:50:49ZengHindawi LimitedMathematical Problems in Engineering1563-51472021-01-01202110.1155/2021/5522926Fixed-Point Convergence Results of a Three-Step Iterative Process in CAT(0) SpacesKifayat Ullah0Junaid Ahmad1Muhammad Arshad2Manuel De la Sen3Department of MathematicsDepartment of Mathematics and StatisticsDepartment of Mathematics and StatisticsInstitute of Research and Development of ProcessesIn this article, we suggest some Δ and strong convergence results of a three-step Sahu–Thakur iteration process for Garcia-Falset maps in the nonlinear setting of CAT(0) spaces. We furnish a new example of Garcia-Falset maps and prove that its three-step Sahu–Thakur iterative process is more effective than the many well-known iterative processes. Our results improve and extend some recently announced results of the current literature.http://dx.doi.org/10.1155/2021/5522926
collection DOAJ
language English
format Article
sources DOAJ
author Kifayat Ullah
Junaid Ahmad
Muhammad Arshad
Manuel De la Sen
spellingShingle Kifayat Ullah
Junaid Ahmad
Muhammad Arshad
Manuel De la Sen
Fixed-Point Convergence Results of a Three-Step Iterative Process in CAT(0) Spaces
Mathematical Problems in Engineering
author_facet Kifayat Ullah
Junaid Ahmad
Muhammad Arshad
Manuel De la Sen
author_sort Kifayat Ullah
title Fixed-Point Convergence Results of a Three-Step Iterative Process in CAT(0) Spaces
title_short Fixed-Point Convergence Results of a Three-Step Iterative Process in CAT(0) Spaces
title_full Fixed-Point Convergence Results of a Three-Step Iterative Process in CAT(0) Spaces
title_fullStr Fixed-Point Convergence Results of a Three-Step Iterative Process in CAT(0) Spaces
title_full_unstemmed Fixed-Point Convergence Results of a Three-Step Iterative Process in CAT(0) Spaces
title_sort fixed-point convergence results of a three-step iterative process in cat(0) spaces
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1563-5147
publishDate 2021-01-01
description In this article, we suggest some Δ and strong convergence results of a three-step Sahu–Thakur iteration process for Garcia-Falset maps in the nonlinear setting of CAT(0) spaces. We furnish a new example of Garcia-Falset maps and prove that its three-step Sahu–Thakur iterative process is more effective than the many well-known iterative processes. Our results improve and extend some recently announced results of the current literature.
url http://dx.doi.org/10.1155/2021/5522926
work_keys_str_mv AT kifayatullah fixedpointconvergenceresultsofathreestepiterativeprocessincat0spaces
AT junaidahmad fixedpointconvergenceresultsofathreestepiterativeprocessincat0spaces
AT muhammadarshad fixedpointconvergenceresultsofathreestepiterativeprocessincat0spaces
AT manueldelasen fixedpointconvergenceresultsofathreestepiterativeprocessincat0spaces
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