Semi-local convergence of iterative methods and Banach space valued functions in abstract fractional calculus

Ioannis K. Argyros; George A. Anastassiou

doi:10.33993/jnaat471-1120

Authors

Ioannis K. Argyros Cameron University, USA
George A. Anastassiou University of Memphis, USA

DOI:

https://doi.org/10.33993/jnaat471-1120

Keywords:

iterative method, Banach space, semi-local convergence, fractional calculus, Bochner-type integral

Abstract views: 423

Abstract

We present a semi-local convergence analysis for a class of iterative methods under generalized conditions. Some applications are suggested including Banach space valued functions of fractional calculus, where all integrals are of Bochner-type.

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Author Biography

Ioannis K. Argyros, Cameron University, USA

Full tenured Professor of Mathematics.

References

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