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Convergence analysis of Suzuki's generalized nonexpansive mappings using the Picard-Abbas iteration process
Bashir Nawaz1, Krzysztof Gdawiec2, Kifayat Ullah1
1Department of Mathematics, University of Lakki Marwat, Lakki Marwat, Khyber Pakhtunkhwa, Pakistan.
None:
This manuscript investigates the convergence behavior of Suzuki's generalized nonexpansive mappings using the recently introduced Picard-Abbas iteration process. We establish both weak and strong convergence results for the associated fixed-point approximations. To demonstrate the effectiveness of our approach, a numerical example is provided. Furthermore, we generate polynomiographs based on the proposed iteration process and compare them with those produced by existing methods, highlighting the advantages and visual insights offered by our scheme.
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