Fixed points of ρ-nonexpansive mappings using MP iterative process

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.