A Fixed Point Approach to the Stability of the Cauchy Additive and Quadratic Type Functional Equation
We investigate the stability of the functional equation 2𝑓(𝑥+𝑦)+𝑓(𝑥−𝑦)+𝑓(𝑦−𝑥)−3𝑓(𝑥)−𝑓(−𝑥)−3𝑓(𝑦)−𝑓(−𝑦)=0 by using the fixed point theory in the sense of Cădariu and Radu.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2011/817079 |
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| _version_ | 1832548809175990272 |
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| author | Sun Sook Jin Yang-Hi Lee |
| author_facet | Sun Sook Jin Yang-Hi Lee |
| author_sort | Sun Sook Jin |
| collection | DOAJ |
| description | We investigate the stability of the functional equation
2𝑓(𝑥+𝑦)+𝑓(𝑥−𝑦)+𝑓(𝑦−𝑥)−3𝑓(𝑥)−𝑓(−𝑥)−3𝑓(𝑦)−𝑓(−𝑦)=0
by using the fixed point theory in the sense of Cădariu and Radu. |
| format | Article |
| id | doaj-art-3ae14ec4bcac40df8723cae1980fb252 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-3ae14ec4bcac40df8723cae1980fb2522025-02-03T06:12:53ZengWileyJournal of Applied Mathematics1110-757X1687-00422011-01-01201110.1155/2011/817079817079A Fixed Point Approach to the Stability of the Cauchy Additive and Quadratic Type Functional EquationSun Sook Jin0Yang-Hi Lee1Department of Mathematics Education, Gongju National University of Education, Gongju 314-711, Republic of KoreaDepartment of Mathematics Education, Gongju National University of Education, Gongju 314-711, Republic of KoreaWe investigate the stability of the functional equation 2𝑓(𝑥+𝑦)+𝑓(𝑥−𝑦)+𝑓(𝑦−𝑥)−3𝑓(𝑥)−𝑓(−𝑥)−3𝑓(𝑦)−𝑓(−𝑦)=0 by using the fixed point theory in the sense of Cădariu and Radu.http://dx.doi.org/10.1155/2011/817079 |
| spellingShingle | Sun Sook Jin Yang-Hi Lee A Fixed Point Approach to the Stability of the Cauchy Additive and Quadratic Type Functional Equation Journal of Applied Mathematics |
| title | A Fixed Point Approach to the Stability of the Cauchy Additive and Quadratic Type Functional Equation |
| title_full | A Fixed Point Approach to the Stability of the Cauchy Additive and Quadratic Type Functional Equation |
| title_fullStr | A Fixed Point Approach to the Stability of the Cauchy Additive and Quadratic Type Functional Equation |
| title_full_unstemmed | A Fixed Point Approach to the Stability of the Cauchy Additive and Quadratic Type Functional Equation |
| title_short | A Fixed Point Approach to the Stability of the Cauchy Additive and Quadratic Type Functional Equation |
| title_sort | fixed point approach to the stability of the cauchy additive and quadratic type functional equation |
| url | http://dx.doi.org/10.1155/2011/817079 |
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