Solutions of Nonlinear Operator Equations by Viscosity Iterative Methods
Joint Authors
Thakur, Surendra
Aibinu, Mathew O.
Moyo, Sibusiso
Source
Journal of Applied Mathematics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-13
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Finding the solutions of nonlinear operator equations has been a subject of research for decades but has recently attracted much attention.
This paper studies the convergence of a newly introduced viscosity implicit iterative algorithm to a fixed point of a nonexpansive mapping in Banach spaces.
Our technique is indispensable in terms of explicitly clarifying the associated concepts and analysis.
The scheme is effective for obtaining the solutions of various nonlinear operator equations as it involves the generalized contraction.
The results are applied to obtain a fixed point of λ-strictly pseudocontractive mappings, solution of α-inverse-strongly monotone mappings, and solution of integral equations of Fredholm type.
American Psychological Association (APA)
Aibinu, Mathew O.& Thakur, Surendra& Moyo, Sibusiso. 2020. Solutions of Nonlinear Operator Equations by Viscosity Iterative Methods. Journal of Applied Mathematics،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1174536
Modern Language Association (MLA)
Aibinu, Mathew O.…[et al.]. Solutions of Nonlinear Operator Equations by Viscosity Iterative Methods. Journal of Applied Mathematics No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1174536
American Medical Association (AMA)
Aibinu, Mathew O.& Thakur, Surendra& Moyo, Sibusiso. Solutions of Nonlinear Operator Equations by Viscosity Iterative Methods. Journal of Applied Mathematics. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1174536
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1174536