Fixed Points of Monotone Total Asymptotically Nonexpansive Mapping in Hyperbolic Space via New Algorithm

Fixed Points of Monotone Total Asymptotically Nonexpansive Mapping in Hyperbolic Space via New Algorithm

In this article, we consider an extensive class of monotone nonexpansive mappings and introduce a new iteration algorithm to approximate the fixed point for monotone total asymptotically nonexpansive mappings in the framework of hyperbolic space. Faster convergence and stability results are proved f...

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Main Authors: Amna Kalsoom, Maliha Rashid, Tian-Chuan Sun, Amna Bibi, Abdul Ghaffar, Mustafa Inc, Ayman A. Aly
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/8482676
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spelling doaj-efe4f64fcf994b2aa085af83c05e39e72021-08-09T00:00:37ZengHindawi LimitedJournal of Function Spaces2314-88882021-01-01202110.1155/2021/8482676Fixed Points of Monotone Total Asymptotically Nonexpansive Mapping in Hyperbolic Space via New AlgorithmAmna Kalsoom0Maliha Rashid1Tian-Chuan Sun2Amna Bibi3Abdul Ghaffar4Mustafa Inc5Ayman A. Aly6Department of Mathematics and StatisticsDepartment of Mathematics and StatisticsQiuzhen CollegeSchool of Mathematics and Information ScienceDepartment of MathematicsDepartment of Computer EngineeringDepartment of Mechanical EngineeringIn this article, we consider an extensive class of monotone nonexpansive mappings and introduce a new iteration algorithm to approximate the fixed point for monotone total asymptotically nonexpansive mappings in the framework of hyperbolic space. Faster convergence and stability results are proved for that iteration; also, fixed point is approximated numerically in a nontrivial example by using MATLAB.http://dx.doi.org/10.1155/2021/8482676
collection DOAJ
language English
format Article
sources DOAJ
author Amna Kalsoom
Maliha Rashid
Tian-Chuan Sun
Amna Bibi
Abdul Ghaffar
Mustafa Inc
Ayman A. Aly
spellingShingle Amna Kalsoom
Maliha Rashid
Tian-Chuan Sun
Amna Bibi
Abdul Ghaffar
Mustafa Inc
Ayman A. Aly
Fixed Points of Monotone Total Asymptotically Nonexpansive Mapping in Hyperbolic Space via New Algorithm
Journal of Function Spaces
author_facet Amna Kalsoom
Maliha Rashid
Tian-Chuan Sun
Amna Bibi
Abdul Ghaffar
Mustafa Inc
Ayman A. Aly
author_sort Amna Kalsoom
title Fixed Points of Monotone Total Asymptotically Nonexpansive Mapping in Hyperbolic Space via New Algorithm
title_short Fixed Points of Monotone Total Asymptotically Nonexpansive Mapping in Hyperbolic Space via New Algorithm
title_full Fixed Points of Monotone Total Asymptotically Nonexpansive Mapping in Hyperbolic Space via New Algorithm
title_fullStr Fixed Points of Monotone Total Asymptotically Nonexpansive Mapping in Hyperbolic Space via New Algorithm
title_full_unstemmed Fixed Points of Monotone Total Asymptotically Nonexpansive Mapping in Hyperbolic Space via New Algorithm
title_sort fixed points of monotone total asymptotically nonexpansive mapping in hyperbolic space via new algorithm
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8888
publishDate 2021-01-01
description In this article, we consider an extensive class of monotone nonexpansive mappings and introduce a new iteration algorithm to approximate the fixed point for monotone total asymptotically nonexpansive mappings in the framework of hyperbolic space. Faster convergence and stability results are proved for that iteration; also, fixed point is approximated numerically in a nontrivial example by using MATLAB.
url http://dx.doi.org/10.1155/2021/8482676
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