| Title:
|
Common fixed points for four non-self mappings in partial metric spaces (English) |
| Author:
|
Rugumisa, Terentius |
| Author:
|
Kumar, Santosh |
| Author:
|
Imdad, Mohammad |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
145 |
| Issue:
|
1 |
| Year:
|
2020 |
| Pages:
|
45-63 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We formulate a common fixed point theorem for four non-self mappings in convex partial metric spaces. The result extends a fixed point theorem by Gajić and Rakočević (2007) proved for two non-self mappings in metric spaces with a Takahashi convex structure. We also provide an illustrative example on the use of the theorem. (English) |
| Keyword:
|
common fixed point |
| Keyword:
|
convex partial metric space |
| Keyword:
|
non-self mapping |
| MSC:
|
47H10 |
| MSC:
|
54H25 |
| idZBL:
|
07217179 |
| idMR:
|
MR4088692 |
| DOI:
|
10.21136/MB.2018.0008-18 |
| . |
| Date available:
|
2020-03-12T08:19:30Z |
| Last updated:
|
2020-11-18 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148063 |
| . |
| Reference:
|
[1] Bukatin, M., Kopperman, R., Matthews, S., Pajoohesh, H.: Partial metric spaces.Am. Math. Mon. 116 (2009), 708-718. Zbl 1229.54037, MR 2572106, 10.4169/193009709X460831 |
| Reference:
|
[2] 'Cirić, L. B.: Contractive type non-self mappings on metric spaces of hyperbolic type.J. Math. Anal. Appl. 317 (2006), 28-42. Zbl 1089.54019, MR 2205309, 10.1016/j.jmaa.2005.11.025 |
| Reference:
|
[3] Ćirić, L. B., Ume, J. S., Khan, M. S., Pathak, H. K.: On some nonself mappings.Math. Nachr. 251 (2003), 28-33. Zbl 1024.47033, MR 1960802, 10.1002/mana.200310028 |
| Reference:
|
[4] Das, K. M., Naik, K. Viswanatha: Common fixed point theorems for commuting maps on a metric space.Proc. Am. Math. Soc. 77 (1979), 369-373. Zbl 0418.54025, MR 0545598, 10.2307/2042188 |
| Reference:
|
[5] Gajić, L., Rakočević, V.: Pair of non-self-mappings and common fixed points.Appl. Math. Comput. 187 (2007), 999-1006. Zbl 1118.54304, MR 2323107, 10.1016/j.amc.2006.09.143 |
| Reference:
|
[6] Imdad, M., Kumar, S.: Rhoades-type fixed-point theorems for a pair of nonself mappings.Comput. Math. Appl. 46 (2003), 919-927. Zbl 1065.47059, MR 2020449, 10.1016/S0898-1221(03)90153-2 |
| Reference:
|
[7] Jungck, G.: Commuting mappings and fixed points.Am. Math. Mon. 83 (1976), 261-263. Zbl 0321.54025, MR 0400196, 10.2307/2318216 |
| Reference:
|
[8] Matthews, S. G.: Partial metric topology.Papers on General Topology and Applications. 8th Summer Conf. Queens College, New York, 1992 Ann. N.Y. Acad. Sci. 728. The New York Academy of Sciences, New York (1994), 183-197 S. Andima et al. Zbl 0911.54025, MR 1467773, 10.1111/j.1749-6632.1994.tb44144.x |
| Reference:
|
[9] Taki-Eddine, O., Aliouche, A.: Fixed point theorems in convex partial metric spaces.Konuralp J. Math. 2 (2014), 96-101. Zbl 1306.54057 |
| . |
