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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Autores principales: Chinnaappu Muthamilarasi, Shyam Sundar Santra, Ganapathy Balasubramanian, Vediyappan Govindan, Rami Ahmad El-Nabulsi, Khaled Mohamed Khedher
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Lenguaje:EN
Publicado: MDPI AG 2021
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Acceso en línea: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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