| Title:
|
On common fixed point theorems for three and four self mappings satisfying contractive conditions (English) |
| Author:
|
Bouhadjera, Hakima |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
49 |
| Issue:
|
1 |
| Year:
|
2010 |
| Pages:
|
25-31 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this contribution, we discuss some unique common fixed point theorems for three and four occasionally weakly compatible mappings satisfying different types of contractive condition. (English) |
| Keyword:
|
Occasionally weakly compatible mappings |
| Keyword:
|
contractive modulus function |
| Keyword:
|
common fixed point theorems |
| MSC:
|
47H10 |
| MSC:
|
54H25 |
| idZBL:
|
Zbl 05978035 |
| idMR:
|
MR2797520 |
| . |
| Date available:
|
2010-09-13T06:52:44Z |
| Last updated:
|
2013-09-18 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140734 |
| . |
| Reference:
|
[1] Aage, C. T., Salunke, J. N.: A note on common fixed point theorems.Int. J. Math. Anal. 2, 28 (2008), 1369–1380. Zbl 1171.54317, MR 2513823 |
| Reference:
|
[2] Al-Thagafi, M. A., Shahzad, N.: Generalized I-nonexpansive selfmaps and invariant approximations.Acta Math. Sin. (Engl. Ser.) 24, 5 (2008), 867–876. Zbl 1175.41026, MR 2403120, 10.1007/s10114-007-5598-x |
| Reference:
|
[3] Jungck, G.: Compatible mappings and common fixed points.Internat. J. Math. Math. Sci. 9, 4 (1986), 771–779. MR 0870534, 10.1155/S0161171286000935 |
| Reference:
|
[4] Jungck, G., Murthy, P. P., Cho, Y. J.: Compatible mappings of type $(A)$ and common fixed points.Math. Japon. 38, 2 (1993), 381–390. Zbl 0791.54059, MR 1213401 |
| Reference:
|
[5] Jungck, G., Rhoades, B. E.: Fixed points for set valued functions without continuity.Indian J. Pure Appl. Math. 29, 3 (1998), 227–238. Zbl 0904.54034, MR 1617919 |
| Reference:
|
[6] Pathak, H. K., Cho, Y. J., Kang, S. M., Madharia, B.: Compatible mappings of type $(C)$ and common fixed point theorems of Greguš type.Demonstratio Math. 31, 3 (1998), 499–518. Zbl 0922.54036, MR 1658509 |
| Reference:
|
[7] Pathak, H. K., Khan, M. S.: Compatible mappings of type $(B)$ and common fixed point theorems of Greguš type.Czechoslovak Math. J. 45, 4 (1995), 685–698. Zbl 0848.54030, MR 1354926 |
| Reference:
|
[8] Sessa, S.: On a weak commutativity condition in fixed point considerations.Publ. Inst. Math. (Beograd) 32, 46 (1982), 149–153. MR 0710984 |
| . |
