Iterative Convergence with Banach Space Valued Functions in Abstract Fractional Calculus

Iterative Convergence with Banach Space Valued Functions in Abstract Fractional Calculus

The goal of this paper is to present a semi-local convergence analysis for some iterative methods under generalized conditions. The operator is only assumed to be continuous and its domain is open. Applications are suggested including Banach space valued functions of fractional calculus, where all i...

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Bibliographic Details
Main Authors: Anastassiou George A., Argyros Ioannis K.
Format: Article
Language:English
Published: Sciendo 2017-12-01
Series:Annals of the West University of Timisoara: Mathematics and Computer Science
Subjects:
iterative method
banach space
semi-local convergence
fractional calculus
bochner-type integral
65g99
65h10
26a33
46b25
47j25
47j05
Online Access:https://doi.org/10.1515/awutm-2017-0012
Description
Summary:The goal of this paper is to present a semi-local convergence analysis for some iterative methods under generalized conditions. The operator is only assumed to be continuous and its domain is open. Applications are suggested including Banach space valued functions of fractional calculus, where all integrals are of Bochner-type.
ISSN:1841-3307

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