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On the convergence of a new iterative algorithm of three infinite families of generalized nonexpansive multi-valued mappings

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Abstract

In this paper, we establish some weak and strong convergence theorems for a new iterative algorithm under some suitable conditions to approximate the common fixed point of three infinite families of multi-valued generalized nonexpansive mappings in a uniformly convex Banach spaces. Our results generalize and improve several previously known results of the existing literature.

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Acknowledgements

The authors are thankful to the learned referees for their suggestions towards improvement of the paper.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur, 208 016, India

    Dhirendra Bahuguna & Anupam Sharma

Authors
  1. Dhirendra Bahuguna
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  2. Anupam Sharma
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Correspondence to Anupam Sharma.

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Communicating Editor: T S S R K Rao

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Bahuguna, D., Sharma, A. On the convergence of a new iterative algorithm of three infinite families of generalized nonexpansive multi-valued mappings. Proc Math Sci 128, 52 (2018). https://doi.org/10.1007/s12044-018-0424-1

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  • DOI: https://doi.org/10.1007/s12044-018-0424-1

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