TR
EN
COMMON FIXED POINT THEOREMS IN FUZZY METRIC SPACES UNDER IMPLICIT RELATIONS
Abstract
In this paper we introduce the notion of a pair (f, g) being weakly fcompatible and obtain a common fixed point theorem for self maps in fuzzy metric spaces which modifies and generalizes some known results. We also give a common fixed point theorem for self maps in sequentially compact fuzzy metric spaces.
Keywords
References
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- Cho, Y. J., Pathak, H, K., Kang, S. M. and Jung, J. S. Common fixed points of compatible maps of type (β) on fuzzy metric spaces, Fuzzy Sets and Systems, 93, 99–111, 1998.
- Edelstein, M. On fixed and periodic points under contradiction mapping, J. London Math. Soc. 37, 74–79, 1962.
- Fang, J.X. On fixed point theorems in fuzzy metric spaces, Fuzzy Sets and Systems, 46, –113, 1992.
- Fisher, B. Results on common fixed points on bounded metric spaces, Math. Sem. Notes 7, –80, 1979.
- George, A. and Veeramani, P. On some results in fuzzy metric spaces, Fuzzy Sets and Systems 64, 395–399, 1994.
- Grabiec, M. Fixed points in fuzzy metric spaces, Fuzzy Sets and Systems 27, 385–389, 1988.
Details
Primary Language
English
Subjects
Statistics
Journal Section
Research Article
Publication Date
February 1, 2008
Submission Date
May 12, 2014
Acceptance Date
-
Published in Issue
Year 2008 Volume: 37 Number: 2
APA
Rao, K. P. R., Babu, G. R., & Fisher, B. (2008). COMMON FIXED POINT THEOREMS IN FUZZY METRIC SPACES UNDER IMPLICIT RELATIONS. Hacettepe Journal of Mathematics and Statistics, 37(2), 97-106. https://izlik.org/JA83ZN72EZ
AMA
1.Rao KPR, Babu GR, Fisher B. COMMON FIXED POINT THEOREMS IN FUZZY METRIC SPACES UNDER IMPLICIT RELATIONS. Hacettepe Journal of Mathematics and Statistics. 2008;37(2):97-106. https://izlik.org/JA83ZN72EZ
Chicago
Rao, K. P. R., G. R. Babu, and B. Fisher. 2008. “COMMON FIXED POINT THEOREMS IN FUZZY METRIC SPACES UNDER IMPLICIT RELATIONS”. Hacettepe Journal of Mathematics and Statistics 37 (2): 97-106. https://izlik.org/JA83ZN72EZ.
EndNote
Rao KPR, Babu GR, Fisher B (February 1, 2008) COMMON FIXED POINT THEOREMS IN FUZZY METRIC SPACES UNDER IMPLICIT RELATIONS. Hacettepe Journal of Mathematics and Statistics 37 2 97–106.
IEEE
[1]K. P. R. Rao, G. R. Babu, and B. Fisher, “COMMON FIXED POINT THEOREMS IN FUZZY METRIC SPACES UNDER IMPLICIT RELATIONS”, Hacettepe Journal of Mathematics and Statistics, vol. 37, no. 2, pp. 97–106, Feb. 2008, [Online]. Available: https://izlik.org/JA83ZN72EZ
ISNAD
Rao, K. P. R. - Babu, G. R. - Fisher, B. “COMMON FIXED POINT THEOREMS IN FUZZY METRIC SPACES UNDER IMPLICIT RELATIONS”. Hacettepe Journal of Mathematics and Statistics 37/2 (February 1, 2008): 97-106. https://izlik.org/JA83ZN72EZ.
JAMA
1.Rao KPR, Babu GR, Fisher B. COMMON FIXED POINT THEOREMS IN FUZZY METRIC SPACES UNDER IMPLICIT RELATIONS. Hacettepe Journal of Mathematics and Statistics. 2008;37:97–106.
MLA
Rao, K. P. R., et al. “COMMON FIXED POINT THEOREMS IN FUZZY METRIC SPACES UNDER IMPLICIT RELATIONS”. Hacettepe Journal of Mathematics and Statistics, vol. 37, no. 2, Feb. 2008, pp. 97-106, https://izlik.org/JA83ZN72EZ.
Vancouver
1.K. P. R. Rao, G. R. Babu, B. Fisher. COMMON FIXED POINT THEOREMS IN FUZZY METRIC SPACES UNDER IMPLICIT RELATIONS. Hacettepe Journal of Mathematics and Statistics [Internet]. 2008 Feb. 1;37(2):97-106. Available from: https://izlik.org/JA83ZN72EZ