A Fixed Point Approach to the Stability of a Cauchy-Jensen Functional Equation
We find out the general solution of a generalized Cauchy-Jensen functional equation and prove its stability. In fact, we investigate the existence of a Cauchy-Jensen mapping related to the generalized Cauchy-Jensen functional equation and prove its uniqueness. In the last section of this paper, we t...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/205160 |
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| _version_ | 1832562456451350528 |
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| author | Jae-Hyeong Bae Won-Gil Park |
| author_facet | Jae-Hyeong Bae Won-Gil Park |
| author_sort | Jae-Hyeong Bae |
| collection | DOAJ |
| description | We find out the general solution of a generalized Cauchy-Jensen functional equation and prove its stability. In fact, we investigate the existence of a Cauchy-Jensen mapping related to the generalized Cauchy-Jensen functional equation and prove its uniqueness. In the last section of this paper, we treat a fixed point approach to the stability of the Cauchy-Jensen functional equation. |
| format | Article |
| id | doaj-art-31a346fb331c4505bd38cf49eea5fa96 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-31a346fb331c4505bd38cf49eea5fa962025-02-03T01:22:37ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/205160205160A Fixed Point Approach to the Stability of a Cauchy-Jensen Functional EquationJae-Hyeong Bae0Won-Gil Park1Graduate School of Education, Kyung Hee University, Yongin 446-701, Republic of KoreaDepartment of Mathematics Education, College of Education, Mokwon University, Daejeon 302-729, Republic of KoreaWe find out the general solution of a generalized Cauchy-Jensen functional equation and prove its stability. In fact, we investigate the existence of a Cauchy-Jensen mapping related to the generalized Cauchy-Jensen functional equation and prove its uniqueness. In the last section of this paper, we treat a fixed point approach to the stability of the Cauchy-Jensen functional equation.http://dx.doi.org/10.1155/2012/205160 |
| spellingShingle | Jae-Hyeong Bae Won-Gil Park A Fixed Point Approach to the Stability of a Cauchy-Jensen Functional Equation Abstract and Applied Analysis |
| title | A Fixed Point Approach to the Stability of a Cauchy-Jensen Functional Equation |
| title_full | A Fixed Point Approach to the Stability of a Cauchy-Jensen Functional Equation |
| title_fullStr | A Fixed Point Approach to the Stability of a Cauchy-Jensen Functional Equation |
| title_full_unstemmed | A Fixed Point Approach to the Stability of a Cauchy-Jensen Functional Equation |
| title_short | A Fixed Point Approach to the Stability of a Cauchy-Jensen Functional Equation |
| title_sort | fixed point approach to the stability of a cauchy jensen functional equation |
| url | http://dx.doi.org/10.1155/2012/205160 |
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