Iterative Convergence with Banach Space Valued Functions in Abstract Fractional Calculus
Abstract
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.
Language: English
Page range: 17 - 31
Submitted on: May 1, 2017
Accepted on: Aug 3, 2017
Published on: Dec 29, 2017
Published by: West University of Timisoara
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open
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© 2017 George A. Anastassiou, Ioannis K. Argyros, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.