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

Title
Menger probabilistic normed Riesz spaces and stability of lattice preserving functional equation
Author
박춘길
Keywords
Hyers-ulam stability; Lattice homomorphism; Lattice preserving functional equation; Menger probabilistic normed riesz space
Issue Date
2019-06
Publisher
Eudoxus Press
Citation
Journal of Computational Analysis and Applications, v. 26, no. 7, Page. 1244-1257
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. © 2019 EUDOXUS PRESS, LLC.
URI
http://www.eudoxuspress.com/images/JOCAAA-VOL-26-2019-ISSUE-7.pdfhttps://repository.hanyang.ac.kr/handle/20.500.11754/151562
ISSN
1521-1398; 1572-9206
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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