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Fixed Point Techniques and Generalized Right Fractional Calculus

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Part of the book series: Studies in Computational Intelligence ((SCI,volume 624))

Abstract

We present a fixed point technique for some iterative algorithms on a generalized Banach space setting to approximate a locally unique zero of an operator. Earlier studies such as [8–10, 15] require that the operator involved is Fréchet-differentiable. In the present study we assume that the operator is only continuous.

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Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, The University of Memphis, Memphis, TN, USA

    George A. Anastassiou

  2. Department of Mathematical Sciences, Cameron University, Lawton, OK, USA

    Ioannis K. Argyros

Authors
  1. George A. Anastassiou
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  2. Ioannis K. Argyros
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Correspondence to George A. Anastassiou .

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Anastassiou, G.A., Argyros, I.K. (2016). Fixed Point Techniques and Generalized Right Fractional Calculus. In: Intelligent Numerical Methods: Applications to Fractional Calculus. Studies in Computational Intelligence, vol 624. Springer, Cham. https://doi.org/10.1007/978-3-319-26721-0_4

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  • DOI: https://doi.org/10.1007/978-3-319-26721-0_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-26720-3

  • Online ISBN: 978-3-319-26721-0

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