The Convergence of Three-Step Iterative Schemes for Generalized Φ−Hemi-Contractive Mappings and the Comparison of Their Rate of Convergence

Linxin Li, Dingping Wu and Ljubisa Kocinac

Journal of Mathematics, 2021, vol. 2021, 1-14

Abstract: Charles proved the convergence of Picard-type iteration for generalized Φ−accretive nonself-mappings in a real uniformly smooth Banach space. Based on the theorems of the zeros of strongly Φ−quasi-accretive mappings and fixed points of strongly Φ−hemi-contractions, we extend the results to Noor iterative process and SP iterative process for generalized Φ−hemi-contractive mappings. Finally, we analyze the rate of convergence of four iterative schemes, namely, Noor iteration, iteration of Corollary 2, SP iteration, and iteration of Corollary 4.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9064369

DOI: 10.1155/2021/9064369

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