FR-type algorithm for finding approximate solutions to nonlinear monotone operator equations

Auwal Bala Abubakar, Kanikar Muangchoo*, Abdulkarim Hassan Ibrahim, Jamilu Abubakar, Sadiya Ali Rano

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

This paper focuses on the problem of convex constraint nonlinear equations involving monotone operators in Euclidean space. A Fletcher and Reeves type derivative-free conjugate gradient method is proposed. The proposed method is designed to ensure the descent property of the search direction at each iteration. Furthermore, the convergence of the proposed method is proved under the assumption that the underlying operator is monotone and Lipschitz continuous. The numerical results show that the method is efficient for the given test problems.

Original languageEnglish
Pages (from-to)261-270
Number of pages10
JournalArabian Journal of Mathematics
Volume10
Issue number2
DOIs
Publication statusPublished - Aug 2021
Externally publishedYes

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