On a New Stability Problem of Radical nth-Degree Functional Equation by Brzdęk’s Fixed-Point Method
In this paper, we introduce the radical nth-degree functional equation of the form f(xn+ynn)=f(x)+f(y) with a positive integer n, discuss its general solutions, and prove new Hyers-Ulam-type stability results for the equation by using Brzdęk’s fixed-point method.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2019/2716107 |
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| _version_ | 1832560036651466752 |
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| author | Dongseung Kang Hoewoon B. Kim |
| author_facet | Dongseung Kang Hoewoon B. Kim |
| author_sort | Dongseung Kang |
| collection | DOAJ |
| description | In this paper, we introduce the radical nth-degree functional equation of the form f(xn+ynn)=f(x)+f(y) with a positive integer n, discuss its general solutions, and prove new Hyers-Ulam-type stability results for the equation by using Brzdęk’s fixed-point method. |
| format | Article |
| id | doaj-art-60355296a7a7452a95b60a536cb48281 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-60355296a7a7452a95b60a536cb482812025-02-03T01:28:38ZengWileyJournal of Function Spaces2314-88962314-88882019-01-01201910.1155/2019/27161072716107On a New Stability Problem of Radical nth-Degree Functional Equation by Brzdęk’s Fixed-Point MethodDongseung Kang0Hoewoon B. Kim1Mathematics Education, Dankook University, 152 Jukjeon, Suji, Yongin, Gyeonggi 16890, Republic of KoreaDepartment of Mathematics, Oregon State University, Corvallis, OR 97331, USAIn this paper, we introduce the radical nth-degree functional equation of the form f(xn+ynn)=f(x)+f(y) with a positive integer n, discuss its general solutions, and prove new Hyers-Ulam-type stability results for the equation by using Brzdęk’s fixed-point method.http://dx.doi.org/10.1155/2019/2716107 |
| spellingShingle | Dongseung Kang Hoewoon B. Kim On a New Stability Problem of Radical nth-Degree Functional Equation by Brzdęk’s Fixed-Point Method Journal of Function Spaces |
| title | On a New Stability Problem of Radical nth-Degree Functional Equation by Brzdęk’s Fixed-Point Method |
| title_full | On a New Stability Problem of Radical nth-Degree Functional Equation by Brzdęk’s Fixed-Point Method |
| title_fullStr | On a New Stability Problem of Radical nth-Degree Functional Equation by Brzdęk’s Fixed-Point Method |
| title_full_unstemmed | On a New Stability Problem of Radical nth-Degree Functional Equation by Brzdęk’s Fixed-Point Method |
| title_short | On a New Stability Problem of Radical nth-Degree Functional Equation by Brzdęk’s Fixed-Point Method |
| title_sort | on a new stability problem of radical nth degree functional equation by brzdek s fixed point method |
| url | http://dx.doi.org/10.1155/2019/2716107 |
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