Mathematical analysis

Function (biology)

Generalization

Database

Fixed-point theorem

Pure mathematics

Mathematics

Evolutionary biology

Biology

Brouwer fixed-point theorem

Schauder fixed point theorem

Computer science

Kakutani fixed-point theorem

Integral equation

Measure (data warehouse)

Fixed point

Picard–Lindelöf theorem

Applied mathematics

In this article, we propose some new fixed point theorem involving measure of noncompactness and control function. Further, we prove the existence of a solution of functional integral equations in two variables by using this fixed point theorem in Banach Algebra, and also illustrate the results with the help of an example.

Some New Generalization of Darbo’s Fixed Point Theorem and Its Application on Integral Equations