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

Bareq Baqi  Salman; Salwa Salman  Abed

doi:10.24996/ijs.2024.65.6.28

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.