Convergence of Forked Sequence to a Fixed Point in Modular Function Spaces

Authors

  • Bareq Baqi Salman Department of Mathematics, College of Education Ibn Al-Haitham for Pure Science, University of Baghdad, Baghdad, Iraq https://orcid.org/0009-0007-3621-9054
  • Salwa Salman Abed Department of Mathematics, College of Education Ibn Al-Haitham for Pure Science, University of Baghdad, Baghdad, Iraq https://orcid.org/0000-0002-0581-253X

DOI:

https://doi.org/10.24996/ijs.2024.65.6.28

Keywords:

Modular spaces, Double sequence, Firmly nonexpansive, Nonexpansive, Iterative scheme, Fixed point

Abstract

     In this paper, we present a five-step iterative scheme, at the beginning, it seems complicated and difficult to implement, but in fact it’s not. This scheme is constructed for - firmly nonexpansive mappings in modular function spaces. Two different -convergences result has been proved for double schemes under consideration. In our study there is a comparison between these cases through answering the question "which one is faster?” Finally, numerical examples are given by using MATLAB software program. 

 

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Published

2024-06-30

Issue

Vol 65 No 6 (2024)

Section

Mathematics

License

Copyright (c) 2024 Iraqi Journal of Science

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

[1]
B. B. . Salman and S. S. . Abed, “Convergence of Forked Sequence to a Fixed Point in Modular Function Spaces”, Iraqi Journal of Science, vol. 65, no. 6, pp. 3291–3301, Jun. 2024, doi: 10.24996/ijs.2024.65.6.28.
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