Fixed points of $\rho$-nonexpansive mappings using MP iterative process

Year 2022, Volume: 6 Issue: 2, 229 - 245, 30.06.2022

Anju Panwar Reena Morwal , Santosh Kumar

https://doi.org/10.31197/atnaa.980093

Abstract

This research article introduces a new iterative process called MP iteration and prove some convergence and approximation results for the fixed points of $\rho$-nonexpansive mappings in modular function spaces. To demonstrate that MP iterative process converges faster than some well-known existing iterative processes for $\rho$-nonexpansive mappings, we constructed some numerical examples. In the end, the concept of summably almost T-stability for MP iterative process is discussed.

Keywords

Fixed point, ρ-nonexpansive mappings, MP iteration, summably almost T-stability, non-self mappings

Supporting Institution

None

Project Number

None

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