A New Faster Iterative Scheme for Numerical Fixed Points Estimation of Suzuki’s Generalized Nonexpansive Mappings
Joint Authors
Agarwal, Praveen
Hussain, Azhar
Hassan, Shanza
Ali, Qasim
de La Sen, Manuel
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-03
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The purpose of this paper is to introduce a new four-step iteration scheme for approximation of fixed point of the nonexpansive mappings named as S∗-iteration scheme which is faster than Picard, Mann, Ishikawa, Noor, Agarwal, Abbas, Thakur, and Ullah iteration schemes.
We show the stability of our proposed scheme.
We present a numerical example to show that our iteration scheme is faster than the aforementioned schemes.
Moreover, we present some weak and strong convergence theorems for Suzuki’s generalized nonexpansive mappings in the framework of uniformly convex Banach spaces.
Our results extend, improve, and unify many existing results in the literature.
American Psychological Association (APA)
Hassan, Shanza& de La Sen, Manuel& Agarwal, Praveen& Ali, Qasim& Hussain, Azhar. 2020. A New Faster Iterative Scheme for Numerical Fixed Points Estimation of Suzuki’s Generalized Nonexpansive Mappings. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1194689
Modern Language Association (MLA)
Hassan, Shanza…[et al.]. A New Faster Iterative Scheme for Numerical Fixed Points Estimation of Suzuki’s Generalized Nonexpansive Mappings. Mathematical Problems in Engineering No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1194689
American Medical Association (AMA)
Hassan, Shanza& de La Sen, Manuel& Agarwal, Praveen& Ali, Qasim& Hussain, Azhar. A New Faster Iterative Scheme for Numerical Fixed Points Estimation of Suzuki’s Generalized Nonexpansive Mappings. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1194689
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1194689