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

Mosadegh, YMSM; Movahednia, E; Lee, JR; Park, C

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

Mosadegh, YMSM;
Movahednia, E;
Lee, JR;
Park, C

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초록

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.

키워드

Menger probabilistic normed Riesz space; Hyers-Ulam stability; lattice preserving functional equation; lattice homomorphism

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

저자: Mosadegh, YMSM; Movahednia, E; Lee, JR; Park, C

발행일: 2019-06

유형: Article

저널명: Journal of Computational Analysis and Applications

권: 26

호: 7

페이지: 1244 ~ 1257