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: J. Caballero Mena, R. Nalepa, K. Sadarangani
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2014/856183
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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
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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