| Title:
|
Some common fixed point theorems for biased mappings (English) |
| Author:
|
Shahzad, Naseer |
| Author:
|
Sahar, Salma |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
36 |
| Issue:
|
3 |
| Year:
|
2000 |
| Pages:
|
183-194 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Some common fixed point theorems in normed spaces are proved using the concept of biased mappings- a generalization of compatible mappings. (English) |
| Keyword:
|
biased map |
| Keyword:
|
compatible map |
| Keyword:
|
fixed point |
| Keyword:
|
normed space |
| MSC:
|
47H10 |
| MSC:
|
54H25 |
| idZBL:
|
Zbl 1048.47044 |
| idMR:
|
MR1785035 |
| . |
| Date available:
|
2008-06-06T22:25:44Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107730 |
| . |
| Reference:
|
[1] Kaneko, H. and Sessa, S.: Fixed point theorems for compatible multivalued and single valued mappings.Internat. J. Math. and Math. Sci. 12 (1989), 257–269. MR 0994907 |
| Reference:
|
[2] Jungck, G.: Compatible mappings and common fixed points.Internat. J. Math. and Math. Sci. 9 (1989), 771–779. Zbl 0802.47053, MR 0870534 |
| Reference:
|
[3] Jungck, G.: Common fixed points of commuting and compatible maps on compacta.Proc. Amer. Math. Soc. 103 (1988), 977–983. MR 0947693 |
| Reference:
|
[4] Jungck, G., Murthy, P. P. and Cho, Y. J.: Compatible mappings of type $(A)$ and common fixed points.Math. Japonica 38(2) (1993), 381–390. MR 1213401 |
| Reference:
|
[5] Jungck, G. and Pathak, H. K.: Fixed points via “biased maps".Proc. Amer. Math. Soc. 123 (1995), 2049–2060. MR 1283555 |
| Reference:
|
[6] Pathak, H. K. and Fisher, B.: A common fixed point theorem for compatible mappings on normed vector space.Arch. Math.(Brno) 33 (1997), 245–251. MR 1478775 |
| Reference:
|
[7] Pathak, H. K., Kang, S. M. and Cho, Y. J.: Gregus type common fixed point theorems for compatible mappings of type $(T)$ and variational inequalities.Publ. Math. Debrecen 46 (1995), 285–299. MR 1336369 |
| Reference:
|
[8] Pathak, H. K. and Khan, M. S.: Compatible mappings of type $(B)$ and common fixed point theorems of Gregus type.Czechoslovak Math. J. 45(120) (1995), 685–698. MR 1354926 |
| . |
