Iterative Convergence with Banach Space Valued Functions in Abstract Fractional Calculus
and | Dec 29, 2017
Published Online: Dec 29, 2017
Page range: 17 - 31
Received: May 01, 2017
Accepted: Aug 03, 2017
DOI: https://doi.org/10.1515/awutm-2017-0012
Keywords
© 2017 George A. Anastassiou et al., published by De Gruyter Open
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
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.