Semi-local convergence of iterative methods and Banach space valued functions in abstract fractional calculus
We present a semi-local convergence analysis for a class of iterative methods under generalized conditions. Some applications are suggested including Banach space valued functions of fractional calculus, where all integrals are of Bochner-type.
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Publishing House of the Romanian Academy
2018-08-01
|
| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/1120 |
| _version_ | 1818529563333885952 |
|---|---|
| author | Ioannis K. Argyros George A. Anastassiou |
| author_facet | Ioannis K. Argyros George A. Anastassiou |
| author_sort | Ioannis K. Argyros |
| collection | DOAJ |
| description |
We present a semi-local convergence analysis for a class of iterative methods under generalized conditions. Some applications are suggested including Banach space valued functions of fractional calculus, where all integrals are of Bochner-type.
|
| first_indexed | 2024-12-11T17:08:28Z |
| format | Article |
| id | doaj.art-d701d72cafe14f4a921ea2852d8eff68 |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-12-11T17:08:28Z |
| publishDate | 2018-08-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-d701d72cafe14f4a921ea2852d8eff682022-12-22T00:57:37ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2018-08-01471Semi-local convergence of iterative methods and Banach space valued functions in abstract fractional calculusIoannis K. Argyros0George A. Anastassiou1Cameron UniversityUniversity of Memphis We present a semi-local convergence analysis for a class of iterative methods under generalized conditions. Some applications are suggested including Banach space valued functions of fractional calculus, where all integrals are of Bochner-type. https://ictp.acad.ro/jnaat/journal/article/view/1120iterative methodBanach spacesemi-local convergencefractional calculusBochner-type integral |
| spellingShingle | Ioannis K. Argyros George A. Anastassiou Semi-local convergence of iterative methods and Banach space valued functions in abstract fractional calculus Journal of Numerical Analysis and Approximation Theory iterative method Banach space semi-local convergence fractional calculus Bochner-type integral |
| title | Semi-local convergence of iterative methods and Banach space valued functions in abstract fractional calculus |
| title_full | Semi-local convergence of iterative methods and Banach space valued functions in abstract fractional calculus |
| title_fullStr | Semi-local convergence of iterative methods and Banach space valued functions in abstract fractional calculus |
| title_full_unstemmed | Semi-local convergence of iterative methods and Banach space valued functions in abstract fractional calculus |
| title_short | Semi-local convergence of iterative methods and Banach space valued functions in abstract fractional calculus |
| title_sort | semi local convergence of iterative methods and banach space valued functions in abstract fractional calculus |
| topic | iterative method Banach space semi-local convergence fractional calculus Bochner-type integral |
| url | https://ictp.acad.ro/jnaat/journal/article/view/1120 |
| work_keys_str_mv | AT ioanniskargyros semilocalconvergenceofiterativemethodsandbanachspacevaluedfunctionsinabstractfractionalcalculus AT georgeaanastassiou semilocalconvergenceofiterativemethodsandbanachspacevaluedfunctionsinabstractfractionalcalculus |