A New Method for Proving Existence Theorems for Abstract Hammerstein Equations
An abstract Hammerstein equation is an equation of the form u+KFu=0. A new method is introduced to prove the existence of a solution of this equation where K and F are nonlinear accretive (monotone) operators. The method does not involve the complicated technique of factorizing a linear map via a Hi...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/627260 |
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| _version_ | 1849402766027390976 |
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| author | C. E. Chidume C. O. Chidume Ma’aruf Shehu Minjibir |
| author_facet | C. E. Chidume C. O. Chidume Ma’aruf Shehu Minjibir |
| author_sort | C. E. Chidume |
| collection | DOAJ |
| description | An abstract Hammerstein equation is an equation of the form u+KFu=0. A new method is introduced to prove the existence of a solution of this equation where K and F are nonlinear accretive (monotone) operators. The method does not involve the complicated technique of factorizing a linear map via a Hilbert space and does not involve the use of deep variational techniques. |
| format | Article |
| id | doaj-art-94cd8ac6bd7b48378047ce8e1e7d58f1 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-94cd8ac6bd7b48378047ce8e1e7d58f12025-08-20T03:37:28ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/627260627260A New Method for Proving Existence Theorems for Abstract Hammerstein EquationsC. E. Chidume0C. O. Chidume1Ma’aruf Shehu Minjibir2African University of Science and Technology, Abuja 900241, NigeriaDepartment of Mathematics and Statistics, Auburn University, Auburn, AL 36849-5168, USAAfrican University of Science and Technology, Abuja 900241, NigeriaAn abstract Hammerstein equation is an equation of the form u+KFu=0. A new method is introduced to prove the existence of a solution of this equation where K and F are nonlinear accretive (monotone) operators. The method does not involve the complicated technique of factorizing a linear map via a Hilbert space and does not involve the use of deep variational techniques.http://dx.doi.org/10.1155/2015/627260 |
| spellingShingle | C. E. Chidume C. O. Chidume Ma’aruf Shehu Minjibir A New Method for Proving Existence Theorems for Abstract Hammerstein Equations Abstract and Applied Analysis |
| title | A New Method for Proving Existence Theorems for Abstract Hammerstein Equations |
| title_full | A New Method for Proving Existence Theorems for Abstract Hammerstein Equations |
| title_fullStr | A New Method for Proving Existence Theorems for Abstract Hammerstein Equations |
| title_full_unstemmed | A New Method for Proving Existence Theorems for Abstract Hammerstein Equations |
| title_short | A New Method for Proving Existence Theorems for Abstract Hammerstein Equations |
| title_sort | new method for proving existence theorems for abstract hammerstein equations |
| url | http://dx.doi.org/10.1155/2015/627260 |
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