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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Bibliographic Details
Published inJournal of function spaces Vol. 2021; pp. 1 - 10
Main Authors Kalsoom, Amna, Rashid, Maliha, Sun, Tian-Chuan, Bibi, Amna, Ghaffar, Abdul, Inc, Mustafa, Aly, Ayman A.
Format Journal Article
LanguageEnglish
Published New York Hindawi 2021
John Wiley & Sons, Inc
Wiley
Subjects
Algorithms
Asymptotic properties
Hyperbolic coordinates
Iterative algorithms
Iterative methods
Online AccessGet full text
ISSN2314-8896
2314-8888
2314-8888
DOI10.1155/2021/8482676

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Summary: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.
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ISSN:2314-8896
2314-8888
2314-8888
DOI:10.1155/2021/8482676