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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |