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Common fixed points approximation of two generalized alpha nonexpansive mappings in partially ordered uniformly convex Banach space

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Abstract

The aim of this paper is to study weak and strong convergence of two generalized \(\alpha\)-nonexpansive mappings to a common fixed point by using Ishikawa iteration in the setting of uniformly convex ordered Banach space. The presented results extended some recent results.

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Acknowledgements

This work was funded by the University of Jeddah, Saudi Arabia. The authors, therefore, acknowledge with thanks the University technical and financial support.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, University of Jeddah, Jeddah, 21589, Saudi Arabia

    Buthinah A. Bin Dehaish & Rawan K. Alharbi

Authors
  1. Buthinah A. Bin Dehaish
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  2. Rawan K. Alharbi
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The authors equally conceived of the study, and they read and approved the final manuscript.

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Correspondence to Buthinah A. Bin Dehaish.

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The authors declare that they have no conflict of interest.

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Bin Dehaish, B.A., Alharbi, R.K. Common fixed points approximation of two generalized alpha nonexpansive mappings in partially ordered uniformly convex Banach space. Math Sci 17, 379–385 (2023). https://doi.org/10.1007/s40096-022-00457-1

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  • DOI: https://doi.org/10.1007/s40096-022-00457-1

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