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: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2009-01-01
|
| Series: | Fixed Point Theory and Applications |
| Online Access: | http://www.fixedpointtheoryandapplications.com/content/2009/707406 |
| _version_ | 1818751223009902592 |
|---|---|
| author | Tavernise Marianna Trombetta Alessandro |
| author_facet | Tavernise Marianna Trombetta Alessandro |
| author_sort | Tavernise Marianna |
| collection | DOAJ |
| description | <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> |
| first_indexed | 2024-12-18T04:32:09Z |
| format | Article |
| id | doaj.art-a1757caf249b4006a8bc88be2aa9dd0c |
| institution | Directory Open Access Journal |
| issn | 1687-1820 1687-1812 |
| language | English |
| last_indexed | 2024-12-18T04:32:09Z |
| publishDate | 2009-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Applications |
| spelling | doaj.art-a1757caf249b4006a8bc88be2aa9dd0c2022-12-21T21:20:58ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122009-01-0120091707406A Note on Implicit Functions in Locally Convex SpacesTavernise MariannaTrombetta Alessandro<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>http://www.fixedpointtheoryandapplications.com/content/2009/707406 |
| spellingShingle | Tavernise Marianna Trombetta Alessandro A Note on Implicit Functions in Locally Convex Spaces Fixed Point Theory and Applications |
| title | A Note on Implicit Functions in Locally Convex Spaces |
| title_full | A Note on Implicit Functions in Locally Convex Spaces |
| title_fullStr | A Note on Implicit Functions in Locally Convex Spaces |
| title_full_unstemmed | A Note on Implicit Functions in Locally Convex Spaces |
| title_short | A Note on Implicit Functions in Locally Convex Spaces |
| title_sort | note on implicit functions in locally convex spaces |
| url | http://www.fixedpointtheoryandapplications.com/content/2009/707406 |
| work_keys_str_mv | AT tavernisemarianna anoteonimplicitfunctionsinlocallyconvexspaces AT trombettaalessandro anoteonimplicitfunctionsinlocallyconvexspaces AT tavernisemarianna noteonimplicitfunctionsinlocallyconvexspaces AT trombettaalessandro noteonimplicitfunctionsinlocallyconvexspaces |