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

Author

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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)

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.

Suggested Citation

  • Alfred Olufemi Bosede & Adegoke Stephen Olaniyan & Adegoke Stephen Olaniyan, 2020. "On the Semi-Implicit Iterative Scheme for a General Class of Map," International Journal of Research and Innovation in Applied Science, International Journal of Research and Innovation in Applied Science (IJRIAS), vol. 5(8), pages 111-116, August.
    • Handle: RePEc:bjf:journl:v:5:y:2020:i:8:p:111-116
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