The Stability Analysis of A-Quartic Functional Equation

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.

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Bibliographic Details
Main Authors:	Chinnaappu Muthamilarasi, Shyam Sundar Santra, Ganapathy Balasubramanian, Vediyappan Govindan, Rami Ahmad El-Nabulsi, Khaled Mohamed Khedher
Format:	article
Language:	EN
Published:	MDPI AG 2021
Subjects:	additive–quartic functional equation Hyers–Ulam stability fixed point method Mathematics QA1-939
Online Access:	https://doaj.org/article/bfeca21c9ed64a0c81ce1b857bdc959f
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spelling	oai:doaj.org-article:bfeca21c9ed64a0c81ce1b857bdc959f2021-11-25T18:16:50ZThe Stability Analysis of A-Quartic Functional Equation10.3390/math92228812227-7390https://doaj.org/article/bfeca21c9ed64a0c81ce1b857bdc959f2021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/22/2881https://doaj.org/toc/2227-7390In 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.Chinnaappu MuthamilarasiShyam Sundar SantraGanapathy BalasubramanianVediyappan GovindanRami Ahmad El-NabulsiKhaled Mohamed KhedherMDPI AGarticleadditive–quartic functional equationHyers–Ulam stabilityfixed point methodMathematicsQA1-939ENMathematics, Vol 9, Iss 2881, p 2881 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	additive–quartic functional equation Hyers–Ulam stability fixed point method Mathematics QA1-939
spellingShingle	additive–quartic functional equation Hyers–Ulam stability fixed point method Mathematics QA1-939 Chinnaappu Muthamilarasi Shyam Sundar Santra Ganapathy Balasubramanian Vediyappan Govindan Rami Ahmad El-Nabulsi Khaled Mohamed Khedher The Stability Analysis of A-Quartic Functional Equation
description	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.
format	article
author	Chinnaappu Muthamilarasi Shyam Sundar Santra Ganapathy Balasubramanian Vediyappan Govindan Rami Ahmad El-Nabulsi Khaled Mohamed Khedher
author_facet	Chinnaappu Muthamilarasi Shyam Sundar Santra Ganapathy Balasubramanian Vediyappan Govindan Rami Ahmad El-Nabulsi Khaled Mohamed Khedher
author_sort	Chinnaappu Muthamilarasi
title	The Stability Analysis of A-Quartic Functional Equation
title_short	The Stability Analysis of A-Quartic Functional Equation
title_full	The Stability Analysis of A-Quartic Functional Equation
title_fullStr	The Stability Analysis of A-Quartic Functional Equation
title_full_unstemmed	The Stability Analysis of A-Quartic Functional Equation
title_sort	stability analysis of a-quartic functional equation
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/bfeca21c9ed64a0c81ce1b857bdc959f
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The Stability Analysis of A-Quartic Functional Equation

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