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Dhage, B.C. and O’Regan, D. (2000) A Fixed Point Theorem in Banach Algebras with Applications to Functional Integral Equations. Functional Differential Equations, 7, 259-267.

has been cited by the following article:

• TITLE: Solvability of Chandrasekhar’s Quadratic Integral Equations in Banach Algebra

  AUTHORS: Hind H. G. Hashem, Aml A. Alhejelan

  KEYWORDS: Nonlinear Operators, Banach Algebra, Chandrasekhar’s Integral Equations

  JOURNAL NAME: Applied Mathematics, Vol.8 No.6, June 28, 2017

  ABSTRACT: In this paper, we prove some results concerning the existence of solutions for some nonlinear functional-integral equations which contain various integral and functional equations that are considered in nonlinear analysis. Our considerations will be discussed in Banach algebra using a fixed point theorem instead of using the technique of measure of noncompactness. An important special case of that functional equation is Chandrasekhar’s integral equation which appears in radiative transfer, neutron transport and the kinetic theory of gases [1].