On fixed points of pseudocontractive mappings.
We present an existence theorem for monotonic solutions of a quadratic integral equation of Abel type in . The famous Chandrasekhar’s integral equation is considered as a special case. The concept of measure of noncompactness and a fixed point theorem due to Darbo are the main tools in carrying out our proof.
The aim of this paper is to obtain monotonic solutions of an integral equation of Urysohn-Stieltjes type in . Existence will be established with the aid of the measure of noncompactness.