Solutions for some nonlinear functional-integral equations with applications

Authors

Animesh Gupta - Department of Mathematics & Computer Science, R.D.V.V. Jabalpur (M.P.) India.
Saurabh Manro - Department of Mathematics, Thapar University, Patiala, Punjab, India.
Rashmi Rani - Department of Mathematics, A.S. College for Women, Khanna, Punjab, India.

Abstract

In the present manuscript, we prove some results concerning the existence of solutions for some nonlinear functional-integral equations which contains various integral and functional equations that considered in nonlinear analysis and its applications. By utilizing the techniques of noncompactness measures, we operate the fixed point theorems such as Darbo's theorem in Banach algebra concerning the estimate on the solutions. The results obtained in this paper extend and improve essentially some known results in the recent literature. We also provide an example of nonlinear functional-integral equation to show the ability of our main result.

Keywords

Banach algebra, fixed point, functional-integral equation, measure of noncompactness

References