Fixed points of ρ -nonexpansive mappings using MP iterative process

Fixed points of ρ -nonexpansive mappings using MP iterative process

Authors

  • Anju PANWAR, Reena MORWAL, Santosh KUMAR*

Keywords:

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

Abstract

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

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Published

2023-08-01

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Articles

How to Cite

Fixed points of ρ -nonexpansive mappings using MP iterative process. (2023). Advances in the Theory of Nonlinear Analysis and Its Application, 6(2), 229-245. https://atnaea.org/index.php/journal/article/view/133