A Fixed Point Approach to the Stability of a Functional Equation of the Spiral of Theodorus
Cădariu and Radu applied the fixed point method to the investigation of Cauchy and Jensen functional equations. In this paper, we adopt the idea of Cădariu and Radu to prove the stability of a functional equation of the spiral of Theodorus, f(x+1)=(1+i/x+1)f(x).
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2008-07-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://dx.doi.org/10.1155/2008/945010 |
| _version_ | 1818420754630311936 |
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| author | John Michael Rassias Soon-Mo Jung |
| author_facet | John Michael Rassias Soon-Mo Jung |
| author_sort | John Michael Rassias |
| collection | DOAJ |
| description | Cădariu and Radu applied the fixed point method to the investigation of Cauchy and Jensen functional equations. In this paper, we adopt the idea of Cădariu and Radu to prove the stability of a functional equation of the spiral of Theodorus, f(x+1)=(1+i/x+1)f(x). |
| first_indexed | 2024-12-14T12:59:30Z |
| format | Article |
| id | doaj.art-f1a1272583384088b9499b5f13a61e73 |
| institution | Directory Open Access Journal |
| issn | 1687-1820 1687-1812 |
| language | English |
| last_indexed | 2024-12-14T12:59:30Z |
| publishDate | 2008-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Applications |
| spelling | doaj.art-f1a1272583384088b9499b5f13a61e732022-12-21T23:00:30ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122008-07-01200810.1155/2008/945010A Fixed Point Approach to the Stability of a Functional Equation of the Spiral of TheodorusJohn Michael RassiasSoon-Mo JungCădariu and Radu applied the fixed point method to the investigation of Cauchy and Jensen functional equations. In this paper, we adopt the idea of Cădariu and Radu to prove the stability of a functional equation of the spiral of Theodorus, f(x+1)=(1+i/x+1)f(x).http://dx.doi.org/10.1155/2008/945010 |
| spellingShingle | John Michael Rassias Soon-Mo Jung A Fixed Point Approach to the Stability of a Functional Equation of the Spiral of Theodorus Fixed Point Theory and Applications |
| title | A Fixed Point Approach to the Stability of a Functional Equation of the Spiral of Theodorus |
| title_full | A Fixed Point Approach to the Stability of a Functional Equation of the Spiral of Theodorus |
| title_fullStr | A Fixed Point Approach to the Stability of a Functional Equation of the Spiral of Theodorus |
| title_full_unstemmed | A Fixed Point Approach to the Stability of a Functional Equation of the Spiral of Theodorus |
| title_short | A Fixed Point Approach to the Stability of a Functional Equation of the Spiral of Theodorus |
| title_sort | fixed point approach to the stability of a functional equation of the spiral of theodorus |
| url | http://dx.doi.org/10.1155/2008/945010 |
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