Additive ρ-functional inequalities in fuzzy normed spaces

Authors

Ji Hye Kim, Hanyang University
George A. Anastassiou, University of MemphisFollow
Choonkil Park, Hanyang University

Abstract

In this paper, we solve the following additive ρ-functional inequalities (Formula presented) in fuzzy normed spaces, where ρ is a fixed real number with | ρ|< 1. Using the fixed point method, we prove the Hyers-Ulam stability of the additive ρ-functional inequalities (0.1) and (0.2) in fuzzy Banach spaces.

Publication Title

Journal of Computational Analysis and Applications

Recommended Citation

Kim, J., Anastassiou, G., & Park, C. (2016). Additive ρ-functional inequalities in fuzzy normed spaces. Journal of Computational Analysis and Applications, 21 (6), 1115-1126. Retrieved from https://digitalcommons.memphis.edu/facpubs/4122