| Title:
|
Some fixed point theorems in metric spaces by altering distances (English) |
| Author:
|
Naidu, S. V. R. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
53 |
| Issue:
|
1 |
| Year:
|
2003 |
| Pages:
|
205-212 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A generalization is obtained for some of the fixed point theorems of Khan, Swaleh and Sessa, Pathak and Rekha Sharma, and Sastry and Babu for a self-map on a metric space, which involve the idea of alteration of distances between points. (English) |
| Keyword:
|
fixed point |
| Keyword:
|
alteration of distances |
| MSC:
|
47H10 |
| MSC:
|
54H25 |
| idZBL:
|
Zbl 1013.54011 |
| idMR:
|
MR1962009 |
| . |
| Date available:
|
2009-09-24T11:00:30Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127791 |
| . |
| Reference:
|
[1] M. S. Khan, M. Swaleh and S. Sessa: Fixed point theorems by altering distances between the points.Bull. Austral. Math. Soc. 30 (1984), 1–9. MR 0753555, 10.1017/S0004972700001659 |
| Reference:
|
[2] S. V. R. Naidu: Fixed point theorems by altering distances.Adv. Math. Sci. Appl. 11 (2001), 1–16. Zbl 1001.54029, MR 1841557 |
| Reference:
|
[3] H. K. Pathak and Rekha Sharma: A note on fixed point theorems of Khan, Swaleh and Sessa.Math. Edn. 28 (1994), 151–157. MR 1325632 |
| Reference:
|
[4] B. E. Rhoades: A comparison of various definitions of contractive mappings.Trans. Amer. Math. Soc. 226 (1977), 257–290. Zbl 0365.54023, MR 0433430, 10.1090/S0002-9947-1977-0433430-4 |
| Reference:
|
[5] K. P. R. Sastry and G. V. R. Babu: Fixed point theorems in metric spaces by altering distances.Bull. Calcutta Math. Soc. 90 (1998), 175–182. MR 1680365 |
| Reference:
|
[6] K. P. R. Sastry and G. V. R. Babu: Some fixed point theorems by altering distances between the points.Indian J. Pure Appl. Math. 30 (1999), 641–647. MR 1701042 |
| Reference:
|
[7] K. P. R. Sastry and G. V. R. Babu: Some fixed point theorems in complete metric spaces by altering distances.Preprint. |
| Reference:
|
[8] K. P. R. Sastry and S. V. R. Naidu: Fixed point theorems for generalised contraction mappings.Yokohama Math. J. 28 (1980), 15–29. MR 0623745 |
| Reference:
|
[9] M. R. Tasković: Some new principles in fixed point theory.Math. Japon. 35 (1990), 645–666. MR 1067863 |
| . |
