Iterations converging to distinct solutions of some nonlinear operator equations in Banach space
We examine the solvability of multilinear equations of the formMk(x,x,…,x)−k times−=y, k=2,3,…where Mk is a k-linear operator on a Banach space X and y∈X is fixed.
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| Format: | Article |
| Language: | English |
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Wiley
1986-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S016117128600073X |
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| _version_ | 1849401674073899008 |
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| author | Ioannis K. Argyros |
| author_facet | Ioannis K. Argyros |
| author_sort | Ioannis K. Argyros |
| collection | DOAJ |
| description | We examine the solvability of multilinear equations of the formMk(x,x,…,x)−k times−=y, k=2,3,…where Mk is a k-linear operator on a Banach space X and y∈X is fixed. |
| format | Article |
| id | doaj-art-8786af040b5341e4b80ea4c1d4da0613 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1986-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-8786af040b5341e4b80ea4c1d4da06132025-08-20T03:37:43ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251986-01-019358358710.1155/S016117128600073XIterations converging to distinct solutions of some nonlinear operator equations in Banach spaceIoannis K. Argyros0Department of Mathematics, University of Iowa, Iowa City, IA 52242, USAWe examine the solvability of multilinear equations of the formMk(x,x,…,x)−k times−=y, k=2,3,…where Mk is a k-linear operator on a Banach space X and y∈X is fixed.http://dx.doi.org/10.1155/S016117128600073Xmultilinear operatorcontraction. |
| spellingShingle | Ioannis K. Argyros Iterations converging to distinct solutions of some nonlinear operator equations in Banach space International Journal of Mathematics and Mathematical Sciences multilinear operator contraction. |
| title | Iterations converging to distinct solutions of some nonlinear operator equations in Banach space |
| title_full | Iterations converging to distinct solutions of some nonlinear operator equations in Banach space |
| title_fullStr | Iterations converging to distinct solutions of some nonlinear operator equations in Banach space |
| title_full_unstemmed | Iterations converging to distinct solutions of some nonlinear operator equations in Banach space |
| title_short | Iterations converging to distinct solutions of some nonlinear operator equations in Banach space |
| title_sort | iterations converging to distinct solutions of some nonlinear operator equations in banach space |
| topic | multilinear operator contraction. |
| url | http://dx.doi.org/10.1155/S016117128600073X |
| work_keys_str_mv | AT ioanniskargyros iterationsconvergingtodistinctsolutionsofsomenonlinearoperatorequationsinbanachspace |