Solvability of a Quadratic Integral Equation of Fredholm Type with Supremum in Hölder Spaces
Using the classical Schauder fixed point theorem, we prove the existence of solutions of a quadratic integral equation of Fredholm type with supremum in the space of functions satisfying the Hölder condition.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2014/856183 |
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| _version_ | 1832560983544954880 |
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| author | J. Caballero Mena R. Nalepa K. Sadarangani |
| author_facet | J. Caballero Mena R. Nalepa K. Sadarangani |
| author_sort | J. Caballero Mena |
| collection | DOAJ |
| description | Using the classical Schauder fixed point theorem, we prove the existence of solutions of a quadratic integral equation of Fredholm type with supremum in the space of functions satisfying the Hölder condition. |
| format | Article |
| id | doaj-art-f5e275932f2b4feb9370baf7a1c31b68 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-f5e275932f2b4feb9370baf7a1c31b682025-02-03T01:26:16ZengWileyJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/856183856183Solvability of a Quadratic Integral Equation of Fredholm Type with Supremum in Hölder SpacesJ. Caballero Mena0R. Nalepa1K. Sadarangani2Department of Mathematics, University of Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, SpainDepartment of Mathematics, Rzeszów University of Technology, Aleja Powstańców Warszawy 12, 35-959 Rzeszów, PolandDepartment of Mathematics, University of Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, SpainUsing the classical Schauder fixed point theorem, we prove the existence of solutions of a quadratic integral equation of Fredholm type with supremum in the space of functions satisfying the Hölder condition.http://dx.doi.org/10.1155/2014/856183 |
| spellingShingle | J. Caballero Mena R. Nalepa K. Sadarangani Solvability of a Quadratic Integral Equation of Fredholm Type with Supremum in Hölder Spaces Journal of Function Spaces |
| title | Solvability of a Quadratic Integral Equation of Fredholm Type with Supremum in Hölder Spaces |
| title_full | Solvability of a Quadratic Integral Equation of Fredholm Type with Supremum in Hölder Spaces |
| title_fullStr | Solvability of a Quadratic Integral Equation of Fredholm Type with Supremum in Hölder Spaces |
| title_full_unstemmed | Solvability of a Quadratic Integral Equation of Fredholm Type with Supremum in Hölder Spaces |
| title_short | Solvability of a Quadratic Integral Equation of Fredholm Type with Supremum in Hölder Spaces |
| title_sort | solvability of a quadratic integral equation of fredholm type with supremum in holder spaces |
| url | http://dx.doi.org/10.1155/2014/856183 |
| work_keys_str_mv | AT jcaballeromena solvabilityofaquadraticintegralequationoffredholmtypewithsupremuminholderspaces AT rnalepa solvabilityofaquadraticintegralequationoffredholmtypewithsupremuminholderspaces AT ksadarangani solvabilityofaquadraticintegralequationoffredholmtypewithsupremuminholderspaces |