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

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

Kaynakça

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