The Implicit Midpoint Procedures for Asymptotically Nonexpansive Mappings
Joint Authors
Thakur, Surendra
Aibinu, Mathew O.
Moyo, Sibusiso
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-06-06
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The concept of asymptotically nonexpansive mappings is an important generalization of the class of nonexpansive mappings.
Implicit midpoint procedures are extremely fundamental for solving equations involving nonlinear operators.
This paper studies the convergence analysis of the class of asymptotically nonexpansive mappings by the implicit midpoint iterative procedures.
The necessary conditions for the convergence of the class of asymptotically nonexpansive mappings are established, by using a well-known iterative algorithm which plays important roles in the computation of fixed points of nonlinear mappings.
A numerical example is presented to illustrate the convergence result.
Under relaxed conditions on the parameters, some algorithms and strong convergence results were derived to obtain some results in the literature as corollaries.
American Psychological Association (APA)
Aibinu, Mathew O.& Thakur, Surendra& Moyo, Sibusiso. 2020. The Implicit Midpoint Procedures for Asymptotically Nonexpansive Mappings. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1188148
Modern Language Association (MLA)
Aibinu, Mathew O.…[et al.]. The Implicit Midpoint Procedures for Asymptotically Nonexpansive Mappings. Journal of Mathematics No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1188148
American Medical Association (AMA)
Aibinu, Mathew O.& Thakur, Surendra& Moyo, Sibusiso. The Implicit Midpoint Procedures for Asymptotically Nonexpansive Mappings. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1188148
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188148