A New Iterative Method for Suzuki Mappings in Banach Spaces

In this paper, an efficient new iterative method for approximating the fixed point of Suzuki mappings is proposed. Some important weak and strong convergence results of the proposed iterative method are established in the setting of Banach space. An example illustrates the theoretical outcome.

Bibliographic Details
Main Authors: Junaid Ahmad, Kifayat Ullah, Muhammad Arshad, Zhenhua Ma
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/6622931
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spelling doaj-b512b15c47e146fc91a43f2300af58ba2021-03-08T02:02:01ZengHindawi LimitedJournal of Mathematics2314-47852021-01-01202110.1155/2021/6622931A New Iterative Method for Suzuki Mappings in Banach SpacesJunaid Ahmad0Kifayat Ullah1Muhammad Arshad2Zhenhua Ma3Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of Mathematics and PhysicsIn this paper, an efficient new iterative method for approximating the fixed point of Suzuki mappings is proposed. Some important weak and strong convergence results of the proposed iterative method are established in the setting of Banach space. An example illustrates the theoretical outcome.http://dx.doi.org/10.1155/2021/6622931
collection DOAJ
language English
format Article
sources DOAJ
author Junaid Ahmad
Kifayat Ullah
Muhammad Arshad
Zhenhua Ma
spellingShingle Junaid Ahmad
Kifayat Ullah
Muhammad Arshad
Zhenhua Ma
A New Iterative Method for Suzuki Mappings in Banach Spaces
Journal of Mathematics
author_facet Junaid Ahmad
Kifayat Ullah
Muhammad Arshad
Zhenhua Ma
author_sort Junaid Ahmad
title A New Iterative Method for Suzuki Mappings in Banach Spaces
title_short A New Iterative Method for Suzuki Mappings in Banach Spaces
title_full A New Iterative Method for Suzuki Mappings in Banach Spaces
title_fullStr A New Iterative Method for Suzuki Mappings in Banach Spaces
title_full_unstemmed A New Iterative Method for Suzuki Mappings in Banach Spaces
title_sort new iterative method for suzuki mappings in banach spaces
publisher Hindawi Limited
series Journal of Mathematics
issn 2314-4785
publishDate 2021-01-01
description In this paper, an efficient new iterative method for approximating the fixed point of Suzuki mappings is proposed. Some important weak and strong convergence results of the proposed iterative method are established in the setting of Banach space. An example illustrates the theoretical outcome.
url http://dx.doi.org/10.1155/2021/6622931
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