A fixed point method for the stability of functional equations in probabilistic normed quasi-linear spaces

Author(s):

Zahra Dehvari , Mohammadsadegh Modarres Mosadegh *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In this article, we define probabilistic normed quasi-linear spaces and provide some introductions and examples to clarify the structure of these spaces. We then investigate the generalized Hyers-Ulam stability of the (additive) Cauchy functional equation in probabilistic normed quasi-linear spaces by using a version of the fixed point theorem.

Keywords:

Cauchy Functional Equation , Generalized Hyers-Ulam Stabil- Ity , Probabilistic Quasi-Linear Space

Language:
English
Published:
Journal of Mahani Mathematical Research, Volume:13 Issue: 2, Summer and Autumn 2024
Pages:
141 to 153
https://www.magiran.com/p2753602