A Note on Implicit Functions in Locally Convex Spaces
<p/> <p>An implicit function theorem in locally convex spaces is proved. As an application we study the stability, with respect to a parameter <inline-formula> <graphic file="1687-1812-2009-707406-i1.gif"/></inline-formula>, of the solutions of the Hammerstein...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2009-01-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://www.fixedpointtheoryandapplications.com/content/2009/707406 |
| Summary: | <p/> <p>An implicit function theorem in locally convex spaces is proved. As an application we study the stability, with respect to a parameter <inline-formula> <graphic file="1687-1812-2009-707406-i1.gif"/></inline-formula>, of the solutions of the Hammerstein equation <inline-formula> <graphic file="1687-1812-2009-707406-i2.gif"/></inline-formula> in a locally convex space.</p> |
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| ISSN: | 1687-1820 1687-1812 |