Fuzzy Stability Results of Finite Variable Additive Functional Equation: Direct and Fixed Point Methods

Abdulaziz M. Alanazi, G. Muhiuddin, K. Tamilvanan, Ebtehaj N. Alenze, Abdelhalim Ebaid and K. Loganathan
Additional contact information
Abdulaziz M. Alanazi: Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia
G. Muhiuddin: Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia
K. Tamilvanan: Department of Mathematics, Government Arts College (Men), Krishnagiri, Tamil Nadu 635 001, India
Ebtehaj N. Alenze: Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia
Abdelhalim Ebaid: Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia
K. Loganathan: Department of Mathematics, Faculty of Engineering, Karpagam Academy of Higher Education, Coimbatore, Tamil Nadu 641 021, India

Mathematics, 2020, vol. 8, issue 7, 1-14

Abstract: In this current work, we introduce the finite variable additive functional equation and we derive its solution. In fact, we investigate the Hyers–Ulam stability results for the finite variable additive functional equation in fuzzy normed space by two different approaches of direct and fixed point methods.

Keywords: additive functional equation; fixed point; Hyers–Ulam Stability; fuzzy normed space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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