Algorithm for Solutions of Nonlinear Equations of Strongly Monotone Type and Applications to Convex Minimization and Variational Inequality Problems
Joint Authors
Thakur, Surendra
Aibinu, Mathew O.
Moyo, Sibusiso
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-01
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Real-life problems are governed by equations which are nonlinear in nature.
Nonlinear equations occur in modeling problems, such as minimizing costs in industries and minimizing risks in businesses.
A technique which does not involve the assumption of existence of a real constant whose calculation is unclear is used to obtain a strong convergence result for nonlinear equations of p,η-strongly monotone type, where η>0,p>1.
An example is presented for the nonlinear equations of p,η-strongly monotone type.
As a consequence of the main result, the solutions of convex minimization and variational inequality problems are obtained.
This solution has applications in other fields such as engineering, physics, biology, chemistry, economics, and game theory.
American Psychological Association (APA)
Aibinu, Mathew O.& Thakur, Surendra& Moyo, Sibusiso. 2020. Algorithm for Solutions of Nonlinear Equations of Strongly Monotone Type and Applications to Convex Minimization and Variational Inequality Problems. Abstract and Applied Analysis،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1119914
Modern Language Association (MLA)
Aibinu, Mathew O.…[et al.]. Algorithm for Solutions of Nonlinear Equations of Strongly Monotone Type and Applications to Convex Minimization and Variational Inequality Problems. Abstract and Applied Analysis No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1119914
American Medical Association (AMA)
Aibinu, Mathew O.& Thakur, Surendra& Moyo, Sibusiso. Algorithm for Solutions of Nonlinear Equations of Strongly Monotone Type and Applications to Convex Minimization and Variational Inequality Problems. Abstract and Applied Analysis. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1119914
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119914