Abstract
References
- [1] Branciari, A. A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric spaces, Publ. Math. Debrecen 57 (1-2),31–37, 2000.
- [2] Hu, C.-M. Fuzzy metrics, Nature J. 5 (12), 947, 1982.
- [3] Lahiri, B. K. and Das, P. Fixed point of a Ljubomir Ciric quasi-contraction mapping in a generalized metric space, Publ. Math. Debrecen 61 (3-4), 589–594, 2002.
- [4] Palaniappan, N. Fuzzy Topology (Second Edition) (Narosa Publishing House, India).
- [5] Zadeh, L. A. Fuzzy Sets, Information and Control 8, 338–353, 1965.
Abstract
In this paper, a generalized fuzzy metric space is defined and shown to be a proper generalization of a fuzzy metric space. Besides, the results corresponding to Banach’s and Ciric’s fixed point theorems are obtained under our postulates.
Keywords
Fuzzy generalized metric space Fuzzy contraction maps Fuzzy almost contraction f-orbitally complete generalized fuzzy metric space 2000 AMS Classification: 47 H 10
References
- [1] Branciari, A. A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric spaces, Publ. Math. Debrecen 57 (1-2),31–37, 2000.
- [2] Hu, C.-M. Fuzzy metrics, Nature J. 5 (12), 947, 1982.
- [3] Lahiri, B. K. and Das, P. Fixed point of a Ljubomir Ciric quasi-contraction mapping in a generalized metric space, Publ. Math. Debrecen 61 (3-4), 589–594, 2002.
- [4] Palaniappan, N. Fuzzy Topology (Second Edition) (Narosa Publishing House, India).
- [5] Zadeh, L. A. Fuzzy Sets, Information and Control 8, 338–353, 1965.
Details
| Primary Language | English |
|---|---|
| Subjects | Statistics |
| Journal Section | Mathematics |
| Authors | |
| Publication Date | January 1, 2010 |
| Published in Issue | Year 2010 Volume: 39 Issue: 1 |