A Fixed Point Approach to the Stability of a General Mixed AQCQ-Functional Equation in Non-Archimedean Normed Spaces
Using the fixed point methods, we prove the generalized Hyers-Ulam stability of the general mixed additive-quadratic-cubic-quartic functional equation f(x+ky)+f(x−ky)=k2f(x+y)+k2f(x−y)+2(1−k2)f(x)+((k4−k2)/12)[f(2y)+f(−2y)−4f(y)−4f(−y)] for a fixed integer k with k≠0,±1 in non-Archimedean normed spa...
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2010/812545 |
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| _version_ | 1849686827098701824 |
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| author | Tian Zhou Xu John Michael Rassias Wan Xin Xu |
| author_facet | Tian Zhou Xu John Michael Rassias Wan Xin Xu |
| author_sort | Tian Zhou Xu |
| collection | DOAJ |
| description | Using the fixed point methods, we prove the generalized Hyers-Ulam stability of the general mixed additive-quadratic-cubic-quartic functional equation f(x+ky)+f(x−ky)=k2f(x+y)+k2f(x−y)+2(1−k2)f(x)+((k4−k2)/12)[f(2y)+f(−2y)−4f(y)−4f(−y)] for a fixed integer k with k≠0,±1 in non-Archimedean normed spaces. |
| format | Article |
| id | doaj-art-00e8aeadb1ec49718227f5b3c8e70034 |
| institution | DOAJ |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-00e8aeadb1ec49718227f5b3c8e700342025-08-20T03:22:33ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2010-01-01201010.1155/2010/812545812545A Fixed Point Approach to the Stability of a General Mixed AQCQ-Functional Equation in Non-Archimedean Normed SpacesTian Zhou Xu0John Michael Rassias1Wan Xin Xu2Department of Mathematics, School of Science, Beijing Institute of Technology, Beijing 100081, ChinaSections of Mathematics and Informatics, Pedagogical Department E.E., National and Capodistrian University of Athens, 4, Agamemnonos Str., Aghia Paraskevi, 15342 Athens, GreeceSchool of Communication and Information Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaUsing the fixed point methods, we prove the generalized Hyers-Ulam stability of the general mixed additive-quadratic-cubic-quartic functional equation f(x+ky)+f(x−ky)=k2f(x+y)+k2f(x−y)+2(1−k2)f(x)+((k4−k2)/12)[f(2y)+f(−2y)−4f(y)−4f(−y)] for a fixed integer k with k≠0,±1 in non-Archimedean normed spaces.http://dx.doi.org/10.1155/2010/812545 |
| spellingShingle | Tian Zhou Xu John Michael Rassias Wan Xin Xu A Fixed Point Approach to the Stability of a General Mixed AQCQ-Functional Equation in Non-Archimedean Normed Spaces Discrete Dynamics in Nature and Society |
| title | A Fixed Point Approach to the Stability of a General Mixed AQCQ-Functional Equation in Non-Archimedean Normed Spaces |
| title_full | A Fixed Point Approach to the Stability of a General Mixed AQCQ-Functional Equation in Non-Archimedean Normed Spaces |
| title_fullStr | A Fixed Point Approach to the Stability of a General Mixed AQCQ-Functional Equation in Non-Archimedean Normed Spaces |
| title_full_unstemmed | A Fixed Point Approach to the Stability of a General Mixed AQCQ-Functional Equation in Non-Archimedean Normed Spaces |
| title_short | A Fixed Point Approach to the Stability of a General Mixed AQCQ-Functional Equation in Non-Archimedean Normed Spaces |
| title_sort | fixed point approach to the stability of a general mixed aqcq functional equation in non archimedean normed spaces |
| url | http://dx.doi.org/10.1155/2010/812545 |
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