- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 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 : 6 | Download : 2
Publication Date : 2022-06-30
Article Type : Research
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