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A new approximation method for common fixed points of families of nonexpansive maps and solution of variational inequalities problems

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Abstract

In this paper we prove a strong convergence of both implicit and explicit shcemes to a common fixed point of finite family of nonexpansive maps which is also a unique solution of some variational inequality problem in Banach space. The result presented here improve and unify several important results recently announced.

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Acknowledgments

This work was completed when the first author was visiting the AbdusSalam International Center for Theoretical Physics, Trieste, Italy, as an Associate. He would like to thank the center for hospitality and financial support.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Bayero University, P.M.B. 3011, Kano, Nigeria

    Bashir Ali

  2. Department of General studies, Jigawa state college of Agriculture, P.M.B. 013, Hadejia, Nigeria

    M. Mohammed

  3. Department of Mathematics, Ahmadu Bello University, Zaria, Nigeria

    G. C. Ugwunnadi

Authors
  1. Bashir Ali
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  2. M. Mohammed
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  3. G. C. Ugwunnadi
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Correspondence to Bashir Ali.

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Ali, B., Mohammed, M. & Ugwunnadi, G.C. A new approximation method for common fixed points of families of nonexpansive maps and solution of variational inequalities problems. Ann Univ Ferrara 60, 321–337 (2014). https://doi.org/10.1007/s11565-013-0187-7

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  • DOI: https://doi.org/10.1007/s11565-013-0187-7

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