On polynomial equations in Banach space, perturbation techniques and applications
We use perturbation techniques to solve the polynomial equation in Banach space. Our techniques provide more accurate information on the location of solutions and yield existence and uniqueness in cases not covered before. An example is given to justify our method.
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1987-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171287000097 |
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| _version_ | 1832554815232671744 |
|---|---|
| author | Ioannis K. Argyros |
| author_facet | Ioannis K. Argyros |
| author_sort | Ioannis K. Argyros |
| collection | DOAJ |
| description | We use perturbation techniques to solve the polynomial equation in Banach
space. Our techniques provide more accurate information on the location of solutions and yield existence and uniqueness in cases not covered before. An example is given to justify our method. |
| format | Article |
| id | doaj-art-0334641250b34d9cbcf1ebe3d1aedafe |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1987-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-0334641250b34d9cbcf1ebe3d1aedafe2025-02-03T05:50:20ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251987-01-01101697810.1155/S0161171287000097On polynomial equations in Banach space, perturbation techniques and applicationsIoannis K. Argyros0Department of Mathematics, The University of Iowa, Iowa City, Iowa 52242, USAWe use perturbation techniques to solve the polynomial equation in Banach space. Our techniques provide more accurate information on the location of solutions and yield existence and uniqueness in cases not covered before. An example is given to justify our method.http://dx.doi.org/10.1155/S0161171287000097perturbationcontraction. |
| spellingShingle | Ioannis K. Argyros On polynomial equations in Banach space, perturbation techniques and applications International Journal of Mathematics and Mathematical Sciences perturbation contraction. |
| title | On polynomial equations in Banach space, perturbation techniques and applications |
| title_full | On polynomial equations in Banach space, perturbation techniques and applications |
| title_fullStr | On polynomial equations in Banach space, perturbation techniques and applications |
| title_full_unstemmed | On polynomial equations in Banach space, perturbation techniques and applications |
| title_short | On polynomial equations in Banach space, perturbation techniques and applications |
| title_sort | on polynomial equations in banach space perturbation techniques and applications |
| topic | perturbation contraction. |
| url | http://dx.doi.org/10.1155/S0161171287000097 |
| work_keys_str_mv | AT ioanniskargyros onpolynomialequationsinbanachspaceperturbationtechniquesandapplications |