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Iterative Methods and their Applications to Banach Space Valued Functions in Abstract Fractional Calculus |
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PP: 35-47 |
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doi:10.18576/pfda/040105
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Author(s) |
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George A. Anastassiou,
Ioannis K. Argyros,
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Abstract |
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| 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. |
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