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Some New Fuzzy Fixed Point Results with Applications

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Open AccessArticle

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

1
Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia
2
Department of Mathematics, Government Arts College (Men), Krishnagiri, Tamil Nadu 635 001, India
3
Department of Mathematics, Faculty of Engineering, Karpagam Academy of Higher Education, Coimbatore, Tamil Nadu 641 021, India
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Mathematics 2020, 8(7), 1050; https://doi.org/10.3390/math8071050
Received: 3 June 2020 / Revised: 14 June 2020 / Accepted: 16 June 2020 / Published: 30 June 2020
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 additive functional equation; fixed point; Hyers–Ulam Stability; fuzzy normed space
MDPI and ACS Style

Alanazi, A.M.; Muhiuddin, G.; Tamilvanan, K.; Alenze, E.N.; Ebaid, A.; Loganathan, K. Fuzzy Stability Results of Finite Variable Additive Functional Equation: Direct and Fixed Point Methods. Mathematics 2020, 8, 1050.

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