Cubic and quartic ρ-functional inequalities in fuzzy normed spaces
Abstract
In this paper, we solve the following cubic ρ-functional inequality (Formula presented) in fuzzy normed spaces, where ρ is a fixed real number with |ρ| < 2, and the following quartic ρ-functional inequality (Formula presented) in fuzzy normed spaces, where ρ is a fixed real number with |ρ| < 2. Using the fixed point method, we prove the Hyers-Ulam stability of the cubic ρ-functional inequality (0.1) and the quartic ρ-functional inequality (0.2) in fuzzy Banach spaces.
Publication Title
Journal of Computational Analysis and Applications
Recommended Citation
Zhiang, J., Chu, J., Anastassiou, G., & Park, C. (2017). Cubic and quartic ρ-functional inequalities in fuzzy normed spaces. Journal of Computational Analysis and Applications, 22 (3), 484-495. Retrieved from https://digitalcommons.memphis.edu/facpubs/4477
