Introduce gradual Banach lattices and Hyers stability

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Movahednia Ehsan

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Journal Paper

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Journal: Mathematics and Computational Sciences Year:2024 | Volume:5 | Issue:4 Page(s): 85-97

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Information Journal Paper

Title

Introduce gradual Banach lattices and Hyers stability

Author(s)

Movahednia Ehsan | Issue Writer Certificate

Keywords

Hyers-Ulam stability

gradual normed spaces

Riesz spaces

Fixed point theory

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.

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