An Integral RB Operator

TL;DR

This paper introduces the integral RB operator, a new generalization of the RB operator, and explores its properties and fixed point conditions within specific function spaces.

Contribution

The paper presents the novel integral RB operator, extending the classical RB operator and analyzing its fixed points and functional space properties.

Findings

iRB operator generalizes the RB operator

Conditions for fixed points in specific function spaces

Properties of the iRB operator derived

Abstract

We introduce the novel concept of integral Read-Bajraktarevi\'c (iRB) operator and discuss some of its properties. We show that this iRB operator generalizes the known Read-Bajraktarevi\'c (RB) operator and we derive conditions for the fixed point of the iRB operator to belong to certain function spaces.