Generalized Hyers-Ulam-Rassias Theorem in Menger Probabilistic Normed Spaces
We introduce two reasonable versions of approximately additive functions in a Šerstnev probabilistic normed space endowed with Π𝑀 triangle function. More precisely, we show under some suitable conditions that an approximately additive function can be approximated by an additive mapping in above ment...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2010/162371 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832556098522972160 |
|---|---|
| author | M. Eshaghi Gordji M. B. Ghaemi H. Majani |
| author_facet | M. Eshaghi Gordji M. B. Ghaemi H. Majani |
| author_sort | M. Eshaghi Gordji |
| collection | DOAJ |
| description | We introduce two reasonable versions of approximately additive
functions in a Šerstnev probabilistic normed space endowed
with Π𝑀 triangle function. More precisely, we show under
some suitable conditions that an approximately additive function
can be approximated by an additive mapping in above mentioned
spaces. |
| format | Article |
| id | doaj-art-e958657c33724dcda53408b167a482c5 |
| institution | Kabale University |
| 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-e958657c33724dcda53408b167a482c52025-02-03T05:46:31ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2010-01-01201010.1155/2010/162371162371Generalized Hyers-Ulam-Rassias Theorem in Menger Probabilistic Normed SpacesM. Eshaghi Gordji0M. B. Ghaemi1H. Majani2Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, IranDepartment of Mathematics, Iran University of Science and Technology, Narmak, Tehran, IranDepartment of Mathematics, Iran University of Science and Technology, Narmak, Tehran, IranWe introduce two reasonable versions of approximately additive functions in a Šerstnev probabilistic normed space endowed with Π𝑀 triangle function. More precisely, we show under some suitable conditions that an approximately additive function can be approximated by an additive mapping in above mentioned spaces.http://dx.doi.org/10.1155/2010/162371 |
| spellingShingle | M. Eshaghi Gordji M. B. Ghaemi H. Majani Generalized Hyers-Ulam-Rassias Theorem in Menger Probabilistic Normed Spaces Discrete Dynamics in Nature and Society |
| title | Generalized Hyers-Ulam-Rassias Theorem in Menger Probabilistic Normed Spaces |
| title_full | Generalized Hyers-Ulam-Rassias Theorem in Menger Probabilistic Normed Spaces |
| title_fullStr | Generalized Hyers-Ulam-Rassias Theorem in Menger Probabilistic Normed Spaces |
| title_full_unstemmed | Generalized Hyers-Ulam-Rassias Theorem in Menger Probabilistic Normed Spaces |
| title_short | Generalized Hyers-Ulam-Rassias Theorem in Menger Probabilistic Normed Spaces |
| title_sort | generalized hyers ulam rassias theorem in menger probabilistic normed spaces |
| url | http://dx.doi.org/10.1155/2010/162371 |
| work_keys_str_mv | AT meshaghigordji generalizedhyersulamrassiastheoreminmengerprobabilisticnormedspaces AT mbghaemi generalizedhyersulamrassiastheoreminmengerprobabilisticnormedspaces AT hmajani generalizedhyersulamrassiastheoreminmengerprobabilisticnormedspaces |