On Caristi Type Maps and Generalized Distances with Applications
We prove some new existence theorems of fixed points for Caristi type maps and some suitable generalized distances without lower semicontinuity assumptions on dominated functions. As applications of our results, some new fixed point theorems and new generalizations of the Banach contraction principl...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/407219 |
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| _version_ | 1832562676518092800 |
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| author | Wei-Shih Du |
| author_facet | Wei-Shih Du |
| author_sort | Wei-Shih Du |
| collection | DOAJ |
| description | We prove some new existence theorems of fixed points for Caristi type maps
and some suitable generalized distances without lower semicontinuity assumptions on dominated
functions. As applications of our results, some new fixed point theorems and new generalizations of
the Banach contraction principle are given. |
| format | Article |
| id | doaj-art-7c12646c9e64473b9f1e537ce97dbff1 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-7c12646c9e64473b9f1e537ce97dbff12025-02-03T01:21:58ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/407219407219On Caristi Type Maps and Generalized Distances with ApplicationsWei-Shih Du0Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 824, TaiwanWe prove some new existence theorems of fixed points for Caristi type maps and some suitable generalized distances without lower semicontinuity assumptions on dominated functions. As applications of our results, some new fixed point theorems and new generalizations of the Banach contraction principle are given.http://dx.doi.org/10.1155/2013/407219 |
| spellingShingle | Wei-Shih Du On Caristi Type Maps and Generalized Distances with Applications Abstract and Applied Analysis |
| title | On Caristi Type Maps and Generalized Distances with Applications |
| title_full | On Caristi Type Maps and Generalized Distances with Applications |
| title_fullStr | On Caristi Type Maps and Generalized Distances with Applications |
| title_full_unstemmed | On Caristi Type Maps and Generalized Distances with Applications |
| title_short | On Caristi Type Maps and Generalized Distances with Applications |
| title_sort | on caristi type maps and generalized distances with applications |
| url | http://dx.doi.org/10.1155/2013/407219 |
| work_keys_str_mv | AT weishihdu oncaristitypemapsandgeneralizeddistanceswithapplications |