<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

Iterative Convergence with Banach Space Valued Functions in Abstract Fractional Calculus

Annals of West University of Timisoara - Mathematics and Computer Science

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...

Iterative Convergence with Banach Space Valued Functions in Abstract Fractional Calculus

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
iterative method, Banach space, semi-local convergence, Fractional Calculus, Bochner-type integral

© 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.

Iterative Convergence with Banach Space Valued Functions in Abstract Fractional Calculus

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

Keywordsiterative method, Banach space, semi-local convergence, Fractional Calculus, Bochner-type integral

© 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.

Keywords
iterative method, Banach space, semi-local convergence, Fractional Calculus, Bochner-type integral