Asadollah Aghajani, Yaghoub Jalilian, Kishin Sadarangani
Abstract:
In this article, we give some results concerning the continuity of
the nonlinear Volterra and Fredholm integral operators on the
space
. Then by using the concept of measure of
weak noncompactness, we prove an existence result for a functional
integral equation which includes several classes of nonlinear
integral equations. Our results extend some previous works.
Submitted May 11, 2012. Published August 19, 2012.
Math Subject Classifications: 45G10, 47H08.
Key Words: Functional integral equation; fixed-point; Nemytski operator;
measure of weak noncompactness; Caratheodory conditions.
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Asadollah Aghajani School of Mathematics Iran University of Science and Technology Narmak, Tehran 16846-13114, Iran email: aghajani@iust.ac.ir |
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Yaghoub Jalilian Department of Mathematics Razi University Kermanshah 67149, Iran email: yajalilian@iust.ac.ir |
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Kishin Sadarangani Department of Mathematics University of Las Palmas de Gran Canaria 35017 Las Palmas de Gran Canaria, Spain email: ksadaran@dma.ulpgc.es |
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