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

  • Ioannis K. Argyros Cameron University
  • George A. Anastassiou University of Memphis
Keywords: iterative method, Banach space, semi-local convergence, fractional calculus, Bochner-type integral

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.

Author Biography

Ioannis K. Argyros, Cameron University
Full tenured Professor of Mathematics.

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Published
2018-08-06
How to Cite
Argyros, I. K., & Anastassiou, G. A. (2018). Semi-local convergence of iterative methods and Banach space valued functions in abstract fractional calculus. J. Numer. Anal. Approx. Theory, 47(1), 3-19. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1120
Section
Articles