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Menger probabilistic normed riesz spaces and stability of lattice preserving functional equation

Authors
Mosadegh, YMSMMovahednia, ELee, JRPark, C
Issue Date
Jun-2019
Publisher
Kluwer Academic Publishers
Keywords
Menger probabilistic normed Riesz space; Hyers-Ulam stability; lattice preserving functional equation; lattice homomorphism
Citation
Journal of Computational Analysis and Applications, v.26, no.7, pp 1244 - 1257
Pages
14
Indexed
SCOPUS
Journal Title
Journal of Computational Analysis and Applications
Volume
26
Number
7
Start Page
1244
End Page
1257
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/147632
ISSN
1521-1398
1572-9206
Abstract
The purpose of this paper is to introduce the concept of a Menger probabilistic normed Riesz space. We study some properties of these spaces and compare normed Riesz spaces with Menger probabilistic normed Riesz spaces. Next, we investigate the Hyers-Ulam stability of lattice homomorphisms in Menger probabilistic normed Riesz spaces.
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