On the Existence and Uniqueness of the Solution of a Probabilistic Functional Equation Approached by the Banach Fixed Point Theorem

Ali Turab, Wutiphol Sintunavarat

Abstract

This paper deals with a particular class of probabilistic functional equations used to observe animals' psychological learning process. Our aims are to find the existence and uniqueness of such functional equations' solution using the Banach fixed point theorem and discuss the Hyers-Ulam and Hyers-Ulam-Rassias type stability of the proposed functional equation.