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

Document Type : Research Paper

Authors

Department of Mathematical Sciences, Yazd University, Yazd, Iran

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

Main Subjects

References

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History

  • Receive Date: 12 March 2023
  • Revise Date: 30 October 2023
  • Accept Date: 26 November 2023

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