On the Semi-Implicit Iterative Scheme for a General Class of Map

Alfred Olufemi Bosede, Adegoke Stephen Olaniyan and Adegoke Stephen Olaniyan
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Alfred Olufemi Bosede: Department of Mathematics, Lagos State University, Ojo, Lagos, Nigeria
Adegoke Stephen Olaniyan: Department of Mathematics, Lagos State University, Ojo, Lagos, Nigeria
Adegoke Stephen Olaniyan: Department of Mathematics& Statistics, Federal College of Education (Technical), Akoka, Lagos, Nigeria

International Journal of Research and Innovation in Applied Science, 2020, vol. 5, issue 8, 111-116

Abstract: Our aim in this paper is to consider a different type of implicit iteration scheme called Semi-Implicit iteration (SII) scheme and study its strong convergence as well as the stability for a general class of maps in a normed linear space. We establish the rate of convergence and present numerical example which validate that the SII iterative scheme converges better than implicit Mann, implicit Ishikawa iteration and implicit S-iteration schemes.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:bjf:journl:v:5:y:2020:i:8:p:111-116

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