Brouwer fixed-point theorem

Quantum mechanics

Fixed point

Fixed-point theorem

Pure mathematics

Discrete mathematics

Applied mathematics

Banach fixed-point theorem

Physics

Nonlinear system

Volterra integral equation

Mathematics

Mathematical analysis

Picard–Lindelöf theorem

Integral equation

AIMS Mathematics

&lt;abstract&gt;&lt;p&gt;Using the method of Petryshyn's fixed point theorem in Banach algebra, we investigate the existence of solutions for functional integral equations, which involves as specific cases many functional integral equations that appear in different branches of non-linear analysis and their applications. Finally, we recall some particular cases and examples to validate the applicability of our study.&lt;/p&gt;&lt;/abstract&gt;

An existence theorem for nonlinear functional Volterra integral equations via Petryshyn's fixed point theorem