Previous |  Up |  Next

Article

Keywords:
fixed point; alteration of distances
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.
References:
[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. DOI 10.1017/S0004972700001659 | MR 0753555
[2] S. V. R.  Naidu: Fixed point theorems by altering distances. Adv. Math. Sci. Appl. 11 (2001), 1–16. MR 1841557 | Zbl 1001.54029
[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
[4] B. E.  Rhoades: A comparison of various definitions of contractive mappings. Trans. Amer. Math. Soc. 226 (1977), 257–290. DOI 10.1090/S0002-9947-1977-0433430-4 | MR 0433430 | Zbl 0365.54023
[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
[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
[7] K. P. R.  Sastry and G. V. R.  Babu: Some fixed point theorems in complete metric spaces by altering distances. Preprint.
[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
[9] M. R.  Tasković: Some new principles in fixed point theory. Math. Japon. 35 (1990), 645–666. MR 1067863
Partner of
EuDML logo