2020 Algorithm for Solutions of Nonlinear Equations of Strongly Monotone Type and Applications to Convex Minimization and Variational Inequality Problems
Mathew O. Aibinu, Surendra C. Thakur, Sibusiso Moyo
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Abstr. Appl. Anal. 2020: 1-11 (2020). DOI: 10.1155/2020/6579720

Abstract

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.

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Mathew O. Aibinu. Surendra C. Thakur. Sibusiso Moyo. "Algorithm for Solutions of Nonlinear Equations of Strongly Monotone Type and Applications to Convex Minimization and Variational Inequality Problems." Abstr. Appl. Anal. 2020 1 - 11, 2020. https://doi.org/10.1155/2020/6579720

Information

Received: 5 March 2020; Revised: 29 April 2020; Accepted: 19 May 2020; Published: 2020
First available in Project Euclid: 28 July 2020

Digital Object Identifier: 10.1155/2020/6579720

Rights: Copyright © 2020 Hindawi

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