Caristi Type Coincidence Point Theorem in Topological Spaces
A generalized Caristi type coincidence point theorem and its equivalences in the setting of topological spaces by using a kind of nonmetric type function are obtained. These results are used to establish variational principle and its equivalences in d-complete spaces, bornological vector space, seve...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/902692 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849467764158234624 |
|---|---|
| author | Jiang Zhu Lei Wei Cheng-Cheng Zhu |
| author_facet | Jiang Zhu Lei Wei Cheng-Cheng Zhu |
| author_sort | Jiang Zhu |
| collection | DOAJ |
| description | A generalized Caristi type coincidence point theorem and its equivalences in the setting of topological spaces by using a kind of nonmetric type function are obtained. These results are used to establish variational principle and its equivalences in d-complete spaces, bornological vector space, seven kinds of completed quasi-semimetric spaces equipped with Q-functions, uniform spaces with q-distance, generating spaces of quasimetric family, and fuzzy metric spaces. |
| format | Article |
| id | doaj-art-e5f7ffc3bb4142d8a2966f142d766357 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-e5f7ffc3bb4142d8a2966f142d7663572025-08-20T03:26:04ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/902692902692Caristi Type Coincidence Point Theorem in Topological SpacesJiang Zhu0Lei Wei1Cheng-Cheng Zhu2School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou 221116, ChinaSchool of Mathematics and Statistics, Jiangsu Normal University, Xuzhou 221116, ChinaSchool of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, ChinaA generalized Caristi type coincidence point theorem and its equivalences in the setting of topological spaces by using a kind of nonmetric type function are obtained. These results are used to establish variational principle and its equivalences in d-complete spaces, bornological vector space, seven kinds of completed quasi-semimetric spaces equipped with Q-functions, uniform spaces with q-distance, generating spaces of quasimetric family, and fuzzy metric spaces.http://dx.doi.org/10.1155/2013/902692 |
| spellingShingle | Jiang Zhu Lei Wei Cheng-Cheng Zhu Caristi Type Coincidence Point Theorem in Topological Spaces Journal of Applied Mathematics |
| title | Caristi Type Coincidence Point Theorem in Topological Spaces |
| title_full | Caristi Type Coincidence Point Theorem in Topological Spaces |
| title_fullStr | Caristi Type Coincidence Point Theorem in Topological Spaces |
| title_full_unstemmed | Caristi Type Coincidence Point Theorem in Topological Spaces |
| title_short | Caristi Type Coincidence Point Theorem in Topological Spaces |
| title_sort | caristi type coincidence point theorem in topological spaces |
| url | http://dx.doi.org/10.1155/2013/902692 |
| work_keys_str_mv | AT jiangzhu caristitypecoincidencepointtheoremintopologicalspaces AT leiwei caristitypecoincidencepointtheoremintopologicalspaces AT chengchengzhu caristitypecoincidencepointtheoremintopologicalspaces |