| Title:
             | 
Partial Fuzzy Metric Space and Some Fixed Point Results (English) | 
| Author:
             | 
Sedghi, Shaban | 
| Author:
             | 
Shobkolaei, Nabi | 
| Author:
             | 
Altun, Ishak | 
| Language:
             | 
English | 
| Journal:
             | 
Communications in Mathematics | 
| ISSN:
             | 
1804-1388 | 
| Volume:
             | 
23 | 
| Issue:
             | 
2 | 
| Year:
             | 
2015 | 
| Pages:
             | 
131-142 | 
| Summary lang:
             | 
English | 
| . | 
| Category:
             | 
math | 
| . | 
| Summary:
             | 
In this paper, we introduce the concept of partial fuzzy metric on a nonempty set $X$ and give the topological structure and some properties of partial fuzzy metric space. Then some fixed point results are provided. (English) | 
| Keyword:
             | 
Fixed point | 
| Keyword:
             | 
Fuzzy metric space | 
| Keyword:
             | 
Partial fuzzy metric space. | 
| MSC:
             | 
47H10 | 
| MSC:
             | 
54H25 | 
| idZBL:
             | 
Zbl 1337.54047 | 
| idMR:
             | 
MR3436681 | 
| . | 
| Date available:
             | 
2016-01-19T13:49:46Z | 
| Last updated:
             | 
2018-01-10 | 
| Stable URL:
             | 
http://hdl.handle.net/10338.dmlcz/144802 | 
| . | 
| Reference:
             | 
[1] George, A., Veeramani, P.: On some results in fuzzy metric spaces.Fuzzy Sets and Systems, 64, 1994, 395-399,  Zbl 0843.54014, MR 1289545, 10.1016/0165-0114(94)90162-7 | 
| Reference:
             | 
[2] Grabiec, M.: Fixed points in fuzzy metric spaces.Fuzzy Sets and Systems, 27, 1988, 385-389,  Zbl 0664.54032, MR 0956385, 10.1016/0165-0114(88)90064-4 | 
| Reference:
             | 
[3] Gregori, V., Sapena, A.: On fixed point theorems in fuzzy metric spaces.Fuzzy Sets and Systems, 125, 2002, 245-252,  Zbl 0995.54046, MR 1880341, 10.1016/S0165-0114(00)00088-9 | 
| Reference:
             | 
[4] Kaleva, O., Seikkala, S.: On fuzzy metric spaces.Fuzzy Sets and Systems, 12, 1984, 215-229,  Zbl 0558.54003, MR 0740095, 10.1016/0165-0114(84)90069-1 | 
| Reference:
             | 
[5] Kramosil, I., Michálek, J.: Fuzzy metrics and statistical metric spaces.Kybernetika (Prague), 11, 1975, 336-344,  Zbl 0319.54002, MR 0410633 | 
| Reference:
             | 
[6] Matthews, S. G.: Partial metric topology.Proc. 8th Summer Conference on General Topology and Applications, Ann. New York Acad. Sci., 728, 1994, 183-197,  Zbl 0911.54025, MR 1467773 | 
| Reference:
             | 
[7] Mihet, D.: A Banach contraction theorem in fuzzy metric spaces.Fuzzy Sets and Systems, 144, 2004, 431-439,  Zbl 1052.54010, MR 2061405, 10.1016/S0165-0114(03)00305-1 | 
| Reference:
             | 
[8] Mihet, D.: On fuzzy contractive mappings in fuzzy metric spaces.Fuzzy Sets and Systems, 158, 2007, 915-921,  Zbl 1117.54008, MR 2302646, 10.1016/j.fss.2006.11.012 | 
| Reference:
             | 
[9] Mihet, D.: Fuzzy $\psi $-contractive mappings in non-Archimedean fuzzy metric spaces.Fuzzy Sets and Systems, 159, 2008, 739-744,  Zbl 1171.54330, MR 2410532, 10.1016/j.fss.2007.07.006 | 
| Reference:
             | 
[10] Mihet, D.: Fuzzy quasi-metric versions of a theorem of Gregori and Sapena.Iranian Journal of Fuzzy Systems, 7, 2010, 59-64,  Zbl 1204.54035, MR 2656423 | 
| Reference:
             | 
[11] Vetro, C.: Fixed points in weak non-Archimedean fuzzy metric spaces.Fuzzy Sets and Systems, 162, 2011, 84-90,  Zbl 1206.54066, MR 2734889, 10.1016/j.fss.2010.09.018 | 
| . |