The Stability Analysis of A-Quartic Functional Equation

Chinnaappu Muthamilarasi, Shyam Sundar Santra, Ganapathy Balasubramanian, Vediyappan Govindan, Rami Ahmad El-Nabulsi and Khaled Mohamed Khedher
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Chinnaappu Muthamilarasi: Department of Mathematics, Government Arts College for Men, Krishnagiri, Tamilnadu 635001, India
Shyam Sundar Santra: Department of Mathematics, JIS College of Engineering, Kalyani, West Bengal 741235, India
Ganapathy Balasubramanian: Department of Mathematics, Government Arts College for Men, Krishnagiri, Tamilnadu 635001, India
Vediyappan Govindan: Department of Mathematics, Government Arts College for Men, Krishnagiri, Tamilnadu 635001, India
Rami Ahmad El-Nabulsi: Research Center for Quantum Technology, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
Khaled Mohamed Khedher: Department of Civil Engineering, College of Engineering, King Khalid University, Abha 61421, Saudi Arabia

Mathematics, 2021, vol. 9, issue 22, 1-16

Abstract: In this paper, we study the general solution of the functional equation, which is derived from additive–quartic mappings. In addition, we establish the generalized Hyers–Ulam stability of the additive–quartic functional equation in Banach spaces by using direct and fixed point methods.

Keywords: additive–quartic functional equation; Hyers–Ulam stability; fixed point method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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