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Convergence analysis of modified Abbas iteration process for two G-nonexpansive mappings

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Abstract

The purpose of this paper is to modify Abbas iteration for two G-nonexpansive mappings. We perform the convergence analysis of newly defined iteration process in uniformly convex Banach space. To compare the rate of convergence of the proposed method with well known Ishikawa iteration, modified S-iteration and Thianwan new iteration processes, a numerical example is also constructed.

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Acknowledgements

The authors are grateful to University Grants Commission, India for providing financial assistance in the form of the BSR Start-Up Research Grant and Junior Research Fellowship. Also, authors are thankful to anonymous learned referee for his valuable suggestions and comments.

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  1. Department of Mathematics, Jamia Millia Islamia, New Delhi, 110025, India

    Sabiya Khatoon & Izhar Uddin

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  1. Sabiya Khatoon
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  2. Izhar Uddin
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Correspondence to Izhar Uddin.

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Khatoon, S., Uddin, I. Convergence analysis of modified Abbas iteration process for two G-nonexpansive mappings. Rend. Circ. Mat. Palermo, II. Ser 70, 31–44 (2021). https://doi.org/10.1007/s12215-020-00481-x

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