Introduce gradual Banach lattices and Hyers stability

Document Type : Original Article

Author

Department of Mathematics, Behbahan Khatam Alanbia University of Technology, Iran

Abstract
The main objective of this article is to introduce gradual normed Riesz spaces and their properties. In fact, by adding a property to gradual normed spaces as discussed in reference [20], we have defined the gradual Banach lattices. Next, we focus on the stability of the supremum-preserving functional equation in these spaces, utilizing the fixed-point theorem to examine the conditions ensuring stability. Also, we can verify the stability of various functional equations in these spaces.

Keywords

Subjects


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Volume 5, Issue 4
Autumn 2024
Pages 85-97

  • Receive Date 03 August 2024
  • Revise Date 26 November 2024
  • Accept Date 08 December 2024