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Menger probabilistic normed riesz spaces and stability of lattice preserving functional equation
- Authors
- Mosadegh, YMSM; Movahednia, E; Lee, JR; Park, C
- Issue Date
- Jun-2019
- Publisher
- Eudoxus Press, LLC
- 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
- Indexed
- SCOPUS
- Journal Title
- Journal of Computational Analysis and Applications
- Volume
- 26
- Number
- 7
- Start Page
- 1244
- End Page
- 1257
- ISSN
- 1521-1398
- 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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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)