Address.
Departamento de Matematicas,
Universidad de Las Palmas de Gran Canaria,
Campus de Tafira,
Baja, 35017 Las Palmas de Gran Canaria, Spain
Department of Mathematics, National University of
Ireland,
Galway, Ireland
E-mail. jmena@ull.es ksadaran@dma.ulpgc.es donal.oregan@nuigalway.ie
Abstract.
The aim of this paper is to obtain monotonic solutions of an
integral equation of Urysohn-Stieltjes type
in $C[0,1]$. Existence will be established with the aid of the
measure of noncompactness.
AMSclassification. 45M99, 47H09.
Keywords. Measure of noncompactness, fixed point theorem, monotonic solutions.