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

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Advances in the Theory of Nonlinear Analysis and its Application
Volume:6 Issue:2
Fixed points of $\rho$-nonexpansive mappings using MP iterative process

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

Authors : Anju PANWAR, Reena MORWAL, Santosh KUMAR

Pages : 229-245

Doi:10.31197/atnaa.980093

View : 16 | Download : 4

Publication Date : 2022-06-30

Article Type : Research Paper

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

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