Fixed Points of Monotone Total Asymptotically Nonexpansive Mapping in Hyperbolic Space via New Algorithm
Author(s) -
Amna Kalsoom,
Maliha Rashid,
Tian-Chuan Sun,
Amna Bibi,
Abdul Ghaffar,
Mustafa İnç,
Ayman A. Aly
Publication year - 2021
Publication title -
journal of function spaces
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.579
H-Index - 28
eISSN - 2314-8896
pISSN - 2314-8888
DOI - 10.1155/2021/8482676
Subject(s) - monotone polygon , fixed point , mathematics , convergence (economics) , fixed point theorem , class (philosophy) , stability (learning theory) , matlab , fixed point iteration , space (punctuation) , algorithm , discrete mathematics , mathematical analysis , computer science , geometry , artificial intelligence , machine learning , economics , economic growth , operating system
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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