On Some Metric Inequalities and Applications
We derive a new inequality in metric spaces and provide its geometric interpretation. Some applications of our result are given, including metric inequalities in Lebesgue spaces, matrices inequalities, multiplicative metric inequalities, and partial metric inequalities. Our main result is a generali...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/3842879 |
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| _version_ | 1832561135082012672 |
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| author | Hassen Aydi Bessem Samet |
| author_facet | Hassen Aydi Bessem Samet |
| author_sort | Hassen Aydi |
| collection | DOAJ |
| description | We derive a new inequality in metric spaces and provide its geometric interpretation. Some applications of our result are given, including metric inequalities in Lebesgue spaces, matrices inequalities, multiplicative metric inequalities, and partial metric inequalities. Our main result is a generalization of that obtained by Dragomir and Gosa. |
| format | Article |
| id | doaj-art-27fe167259004c84b1abe9c2dca87775 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-27fe167259004c84b1abe9c2dca877752025-02-03T01:25:46ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/38428793842879On Some Metric Inequalities and ApplicationsHassen Aydi0Bessem Samet1Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, VietnamDepartment of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaWe derive a new inequality in metric spaces and provide its geometric interpretation. Some applications of our result are given, including metric inequalities in Lebesgue spaces, matrices inequalities, multiplicative metric inequalities, and partial metric inequalities. Our main result is a generalization of that obtained by Dragomir and Gosa.http://dx.doi.org/10.1155/2020/3842879 |
| spellingShingle | Hassen Aydi Bessem Samet On Some Metric Inequalities and Applications Journal of Function Spaces |
| title | On Some Metric Inequalities and Applications |
| title_full | On Some Metric Inequalities and Applications |
| title_fullStr | On Some Metric Inequalities and Applications |
| title_full_unstemmed | On Some Metric Inequalities and Applications |
| title_short | On Some Metric Inequalities and Applications |
| title_sort | on some metric inequalities and applications |
| url | http://dx.doi.org/10.1155/2020/3842879 |
| work_keys_str_mv | AT hassenaydi onsomemetricinequalitiesandapplications AT bessemsamet onsomemetricinequalitiesandapplications |