Probabilistic (Quasi)metric Versions for a Stability Result of Baker
By using the fixed point method, we obtain a version of a stability result of Baker in probabilistic metric and quasimetric spaces under triangular norms of Hadžić type. As an application, we prove a theorem regarding the stability of the additive Cauchy functional equation in random normed spaces....
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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/10.1155/2012/269701 |
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| _version_ | 1849400608460636160 |
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| author | Dorel Miheţ Claudia Zaharia |
| author_facet | Dorel Miheţ Claudia Zaharia |
| author_sort | Dorel Miheţ |
| collection | DOAJ |
| description | By using the fixed point method, we obtain a version of a stability result of Baker in probabilistic metric and quasimetric spaces under triangular norms of Hadžić type. As an application, we prove a theorem regarding the stability of the additive Cauchy functional equation in random normed spaces. |
| format | Article |
| id | doaj-art-8e2cb06e2e334c949dadd9760fe6d6e8 |
| 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-8e2cb06e2e334c949dadd9760fe6d6e82025-08-20T03:37:57ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/269701269701Probabilistic (Quasi)metric Versions for a Stability Result of BakerDorel Miheţ0Claudia Zaharia1Department of Mathematics, West University of Timişoara, 4 V. Pârvan Boulevard, 300223 Timişoara, RomaniaDepartment of Mathematics, West University of Timişoara, 4 V. Pârvan Boulevard, 300223 Timişoara, RomaniaBy using the fixed point method, we obtain a version of a stability result of Baker in probabilistic metric and quasimetric spaces under triangular norms of Hadžić type. As an application, we prove a theorem regarding the stability of the additive Cauchy functional equation in random normed spaces.http://dx.doi.org/10.1155/2012/269701 |
| spellingShingle | Dorel Miheţ Claudia Zaharia Probabilistic (Quasi)metric Versions for a Stability Result of Baker Abstract and Applied Analysis |
| title | Probabilistic (Quasi)metric Versions for a Stability Result of Baker |
| title_full | Probabilistic (Quasi)metric Versions for a Stability Result of Baker |
| title_fullStr | Probabilistic (Quasi)metric Versions for a Stability Result of Baker |
| title_full_unstemmed | Probabilistic (Quasi)metric Versions for a Stability Result of Baker |
| title_short | Probabilistic (Quasi)metric Versions for a Stability Result of Baker |
| title_sort | probabilistic quasi metric versions for a stability result of baker |
| url | http://dx.doi.org/10.1155/2012/269701 |
| work_keys_str_mv | AT dorelmihet probabilisticquasimetricversionsforastabilityresultofbaker AT claudiazaharia probabilisticquasimetricversionsforastabilityresultofbaker |