| Title:
|
Fixed and coincidence points of hybrid mappings (English) |
| Author:
|
Pathak, H. K. |
| Author:
|
Khan, M. S. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
38 |
| Issue:
|
3 |
| Year:
|
2002 |
| Pages:
|
201-208 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The purpose of this note is to provide a substantial improvement and appreciable generalizations of recent results of Beg and Azam; Pathak, Kang and Cho; Shiau, Tan and Wong; Singh and Mishra. (English) |
| Keyword:
|
coincidence point |
| Keyword:
|
fixed point |
| Keyword:
|
hybrid fixed points |
| Keyword:
|
weak compatibility |
| Keyword:
|
multi-valued mappings |
| Keyword:
|
asymptotically regular sequence |
| MSC:
|
47H10 |
| MSC:
|
54C60 |
| MSC:
|
54H25 |
| idZBL:
|
Zbl 1068.47073 |
| idMR:
|
MR1921591 |
| . |
| Date available:
|
2008-06-06T22:30:26Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107833 |
| . |
| Reference:
|
[1] Beg, I. and Azam, A.: Fixed point theorems for Kannan mappings.Indian J. Pure and Appl. Math. 17 (11) (1986), 1270–1275. MR 0868963 |
| Reference:
|
[2] Beg, I. and Azam, A.: Fixed points of asymptotically regular multivalued mappings.J. Austral. Math. Soc. (Series A) 50 (1992), 313–326. MR 1187851 |
| Reference:
|
[3] Conley, H. W.: Some hybrid fixed point theorems related to optimization.J. Math. Anal. Appl. 120 (2) (1986), 528–532. MR 0864769 |
| Reference:
|
[4] Das, K. M. and Naik, K. V.: Common fixed point theorems for commuting maps on a metric space.Proc. Amer. Math. Soc. 77 (1979), 369–373. MR 0545598 |
| Reference:
|
[5] Pathak, H. K.: Fixed point theorem for weak compatible multi-valued and single-valued mappings.Acta Math. Hungar. 67 (1-2) (1995), 69–78. MR 1316710 |
| Reference:
|
[6] Pathak, H. K., Kang, S. M. and Cho, Y. J.: Coincidence and fixed point theorems for nonlinear hybrid generalized contractions.Czechoslovak Math. J. 48 (123) (1998), 341–357. MR 1624260 |
| Reference:
|
[7] Nadler, S. B., Jr.: Multi-valued contraction mappings.Pacific J. Math. 20 (1989), 475–488. Zbl 0211.26001, MR 0254828 |
| Reference:
|
[8] Nadler, S. B., Jr.: Hyperspaces of sets.Marcel Dekker, NY, 1978. Zbl 1125.54001, MR 0500811 |
| Reference:
|
[9] Shiau, C., Tan, K. K. and Wong, C. S.: A class of quasi-nonexpansive multi-valued maps.Canad. Math. Bull. 18 (1975), 707–714. MR 0407667 |
| Reference:
|
[10] Singh, S. L. and Mishra, S. N.: Some remarks on concidencees and fixed points.C. R. Math. Rep. Acad. Sci. Canad. 18 (2-3) (1996), 66–70. MR 1411279 |
| Reference:
|
[11] Devaney, R. L.: A first course in chaotic dynamical systems: Theory and experiment.Addison-Wesley 1992. Zbl 0768.58001, MR 1202237 |
| . |
