Additive-quadratic functional inequalities in fuzzy normed spaces and stability

  • Young Ju Jeon
  • , Chang Il Kim*
  • *Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

Abstract

In this paper, we investigate the following functional inequality N(f(x − y) + f(y − z) + f(z − x) − 2[f(x) + f(y) + f(z)] − f(−x) − f(−y) − f(−z), t) ≥ N(f(x + y + z), t) and prove the generalized Hyers-Ulam stability for it in fuzzy Banach spaces.

Original languageEnglish
Pages (from-to)934-943
Number of pages10
JournalJournal of Computational Analysis and Applications
Volume29
Issue number5
StatePublished - 2021.10

Keywords

  • Additive-quadratic functional inequality
  • Fixed point theorem
  • Fuzzy normed space
  • Hyers-Ulam stability

Quacquarelli Symonds(QS) Subject Topics

  • Mathematics

Fingerprint

Dive into the research topics of 'Additive-quadratic functional inequalities in fuzzy normed spaces and stability'. Together they form a unique fingerprint.

Cite this