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Abstract

In this research article, we generalized KF-iteration process in ๐‘-metric space for the generalised (๐›ผ,๐›ฝ)โˆ’nonexpansive type 1 mappings. We present some convergence theorems for KF-iteration process with respect to generalised mappings in ๐‘-metric space. We discussed some numerical examples of generalised (๐›ผ,๐›ฝ)-nonexpansive type 1 mappings and we proved that KF-iteration process is stronger than the other iterations. The results obtained in this research generalize and improve several related results of fixed-point convergence in the literature.

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