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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Format: | Article |
Language: | English |
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Dalat University
2012-09-01
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Series: | Tạp chí Khoa học Đại học Đà Lạt |
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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 |
id | doaj-art-b699e3d7bc8f4bc5a464147cb8700bd8 |
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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