A unified convergence analysis for a certain family of iterative algorithms with applications to fractional calculus (Q2799687)
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scientific article; zbMATH DE number 6568485
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A unified convergence analysis for a certain family of iterative algorithms with applications to fractional calculus |
scientific article; zbMATH DE number 6568485 |
Statements
13 April 2016
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iterative algorithm
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Banach space
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semilocal-local convergence
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fractional calculus
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generalized fractional derivatives
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nonlinear operator equation
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A unified convergence analysis for a certain family of iterative algorithms with applications to fractional calculus (English)
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Local and semilocal convergence results for some iterative algorithms in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting are presented. The paper is organized as follows. Section 1 is an introduction. Semilocal and local convergence analysis of iterative algorithms is given in Section 2. Some applications from fractional calculus are given in Section 3.
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