Journal of Convex Analysis 18 (2011), No. 2, 455--464
Copyright Heldermann Verlag 2011
Nondecreasing Solutions of a Quadratic Integral Equation of Urysohn Type on Unbounded Interval
Leszek Olszowy
Department of Mathematics, Rzeszów University of Technology, W. Pola 2, 35-959 Rzeszów, Poland
lolszowy@prz.edu.pl
Using the technique associated with measures of noncompactness we prove the existence of nondecreasing solutions of a class of quadratic integral equation of Urysohn type in the Fréchet space of real functions defined and continuous on an unbounded interval.
Keywords: Fixed-point theorem, measures of noncompactness, nondecreasing solutions, quadratic integral equation of Urysohn type.
MSC: 47H09, 47B38, 47H30
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