Josefa Caballero, Mohamed Abdalla Darwish, Kishin Sadarangani
Abstract:
In this article, we prove the existence of solutions of a quadratic integral
equation of Fredholm type with a modified argument, in the space
of functions satisfying a Holder condition.
Our main tool is the classical Schauder fixed point theorem.
Submitted October 31, 2013. Published January 27, 2014.
Math Subject Classifications: 45G10, 45M99, 47H09.
Key Words: Fredholm; Holder condition; Schauder fixed point theorem.
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Josefa Caballero Departamento de Matemáticas Universidad de Las Palmas de Gran Canaria Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, Spain email: fefi@dma.ulpgc.es |
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Mohamed Abdalla Darwish Department of Mathematics, Sciences Faculty for Girls King Abdulaziz University, Jeddah, Saudi Arabia. Department of Mathematics, Faculty of Science Damanhour University, Damanhour, Egypt email: dr.madarwish@gmail.com |
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Kishin Sadarangani Departamento de Matemáticas Universidad de Las Palmas de Gran Canaria Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, Spain email: ksadaran@dma.ulpgc.es |
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