A Four-Step Iteration Scheme to Approximate Fixed Points of Generalized (α, β)-Nonexpansive Type 1 Mappings with Application
Omprakash Sahu, Amitabh Banerjee
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Source: Crossref
Published: Sep 12, 2026
DOI: 10.36347/sjpms.2026.v13i09.002
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In this paper, we introduce a four-step iteration scheme for approximating fixed points of generalized (α, β)-nonexpansive type 1 mapping. We prove the convergence and stability results for contractive-like mapping in uniformly convex Banach space. We also prove weak and strong convergence results for generalized (α, β)-nonexpansive type 1 mapping. We provide numerical examples to show that this scheme is faster than Agarwal, Abbas, Thakur, Ullah and S^(⋆⋆) -iteration scheme. We used this iteration method to find the solution of a nonlinear integral equation.
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