Riesz fuzzy normed spaces and stability of a lattice preserving functional equation

Choonkil Park, Ehsan Movahednia, Seyed Mohammad Sadegh Modarres Mosadegh, Mohammad Mursaleen

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

The main objective of this paper is to introduce and to study fuzzy normed Riesz spaces. By the direct method, we prove the Hyers-Ulam stability of the following lattice preserving functional equation in fuzzy Banach Riesz space N2 (formula presented) are fuzzy normed Riesz space and fuzzy Banach Riesz space, respectively; and (formula presented) is a mapping such that (formula presented) for all τ, η ≥ 1 and α ∈ [0, 1).

Original languageEnglish
Pages (from-to)569-579
Number of pages11
JournalJournal of Computational Analysis and Applications
Volume24
Issue number3
StatePublished - 2018 Jan 1

Keywords

  • Fixed point
  • Fuzzy normed Riesz space
  • Hyers-Ulam stability
  • Lattice preserving functional equation

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