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Approximating a common fixed point of finite family of asymptotically quasi-nonexpansive mappings in Banach spaces

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Abstract

The purpose of this paper is to prove convergence of a one-step iterative algorithm to approximate a common fixed point of finite family of asymptotically quasi-nonexpansive mappings in a uniformly convex Banach space by assuming some control conditions on the parameters. Our results extend and improve the corresponding results in the literature.

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Authors and Affiliations

  1. Department of Mathematics, College of Natural Sciences, Addis Ababa University, P.O. Box 1176, Addis Ababa, Ethiopia

    Sebsibe Teferi Woldeamanuel & Mengistu Goa Sangago

  2. Department of Mathematics, University of Botswana, Private Bag 00704, Gaborone, Botswana

    Habtu Zegeye Hailu

Authors
  1. Sebsibe Teferi Woldeamanuel
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  2. Mengistu Goa Sangago
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  3. Habtu Zegeye Hailu
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Correspondence to Mengistu Goa Sangago.

Additional information

The authors would like to express their thanks to the referees for their helpful suggestions to revise this paper. S. T. Woldeamanuel was supported by the International Science Program(ISP)of Sweden in undertaking this work. M. G. Sangago and H. Z. Hailu were supported financially by the Simmons Foundation based on Botswana University.

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Woldeamanuel, S.T., Sangago, M.G. & Hailu, H.Z. Approximating a common fixed point of finite family of asymptotically quasi-nonexpansive mappings in Banach spaces. Afr. Mat. 27, 949–961 (2016). https://doi.org/10.1007/s13370-016-0390-7

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