|
|
 |
| |
|
|
|
Iterative Methods and their Applications to Banach Space Valued Functions in Abstract Fractional Calculus |
|
|
|
PP: 35-47 |
|
|
|
doi:10.18576/pfda/040105
|
|
|
|
Author(s) |
|
|
|
George A. Anastassiou,
Ioannis K. Argyros,
|
|
|
|
Abstract |
|
|
| Explicit iterative methods have been used extensively to generate a sequence approximating a solution of an equation on a Banach space setting. However, little attention has been given to the study of implicit iterative methods. We show a semi-local convergence analysis for a some general implicit and explicit iterative techniques. Illustrative applications are presented including Banach space valued functions of fractional calculus, such that all integrals are of Bochner-type. |
|
|
|
|
|
|
|
