A FIXED POINT APPROACH TO THE FUZZY STABILITY OF A QUADRATIC-QUARTIC FUNCTIONAL EQUATION

Using fixed point method, we prove the Hyers-Ulam stability of the following quadratic-quartic functional equation f(x + 2y) + f(x - 2y) = 4f(x + y) + 4f(x - y) - 6f(x) + 2f(2y) - 8f(y) in fuzzy Banach spaces

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Main Authors: Choonkil Park, Jung Rye Lee, Dong Yun Shin
Format: Article
Language:English
Published: Dalat University 2012-09-01
Series:Tạp chí Khoa học Đại học Đà Lạt
Subjects:
Online Access:https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/207
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author Choonkil Park
Jung Rye Lee
Dong Yun Shin
author_facet Choonkil Park
Jung Rye Lee
Dong Yun Shin
author_sort Choonkil Park
collection DOAJ
description Using fixed point method, we prove the Hyers-Ulam stability of the following quadratic-quartic functional equation f(x + 2y) + f(x - 2y) = 4f(x + y) + 4f(x - y) - 6f(x) + 2f(2y) - 8f(y) in fuzzy Banach spaces
format Article
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institution Kabale University
issn 0866-787X
language English
publishDate 2012-09-01
publisher Dalat University
record_format Article
series Tạp chí Khoa học Đại học Đà Lạt
spelling doaj-art-b699e3d7bc8f4bc5a464147cb8700bd82025-02-02T12:00:11ZengDalat UniversityTạp chí Khoa học Đại học Đà Lạt0866-787X2012-09-012310.37569/DalatUniversity.2.3.207(2012)A FIXED POINT APPROACH TO THE FUZZY STABILITY OF A QUADRATIC-QUARTIC FUNCTIONAL EQUATIONChoonkil Park0Jung Rye Lee1Dong Yun Shin2Hanyang University, KoreaDaejin University, KoreaUniversity of Seoul, KoreaUsing fixed point method, we prove the Hyers-Ulam stability of the following quadratic-quartic functional equation f(x + 2y) + f(x - 2y) = 4f(x + y) + 4f(x - y) - 6f(x) + 2f(2y) - 8f(y) in fuzzy Banach spaceshttps://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/207Fuzzy Banach spaceFixed pointHyers-Ulam stabilityQuadratic-quartic functional equation
spellingShingle Choonkil Park
Jung Rye Lee
Dong Yun Shin
A FIXED POINT APPROACH TO THE FUZZY STABILITY OF A QUADRATIC-QUARTIC FUNCTIONAL EQUATION
Tạp chí Khoa học Đại học Đà Lạt
Fuzzy Banach space
Fixed point
Hyers-Ulam stability
Quadratic-quartic functional equation
title A FIXED POINT APPROACH TO THE FUZZY STABILITY OF A QUADRATIC-QUARTIC FUNCTIONAL EQUATION
title_full A FIXED POINT APPROACH TO THE FUZZY STABILITY OF A QUADRATIC-QUARTIC FUNCTIONAL EQUATION
title_fullStr A FIXED POINT APPROACH TO THE FUZZY STABILITY OF A QUADRATIC-QUARTIC FUNCTIONAL EQUATION
title_full_unstemmed A FIXED POINT APPROACH TO THE FUZZY STABILITY OF A QUADRATIC-QUARTIC FUNCTIONAL EQUATION
title_short A FIXED POINT APPROACH TO THE FUZZY STABILITY OF A QUADRATIC-QUARTIC FUNCTIONAL EQUATION
title_sort fixed point approach to the fuzzy stability of a quadratic quartic functional equation
topic Fuzzy Banach space
Fixed point
Hyers-Ulam stability
Quadratic-quartic functional equation
url https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/207
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