doi: 10.7763/IJAPM.2013.V3.203
Common Fixed Point Theorem for Semi-Compatible and Sub Compatible Maps in Fuzzy Metric Space
Sonal Dani
1
,
Sanjay Sharma
2
- 1 the Department of Applied Mathematics Chhatrapati Shivaji Institute of Technology, Durg(C.G) India
- 2 the Department of Applied Mathematics Bhilai Institute of Technology, Durg(C.G) India
Abstract
The object of this paper is to introduce the concept of a pair of semi-compatible self-maps and sub compatibility in fuzzy metric spaces In this paper, we also introduce the notion of M-maps with respect to a single map and a pair of maps in fuzzy metric spaces and obtain common fixed point theorems for two pairs of sub compatible and semi compatible maps satisfying implicit relations.
Keywords
- Common fixed point theorem
- fuzzy metric space
- semi-compatibility
- sub-compatibility
- set valued M-maps
How to Cite
Sonal Dani and Sanjay Sharma, "Common Fixed Point Theorem for Semi-Compatible and Sub Compatible Maps in Fuzzy Metric Space," International Journal of Applied Physics and Mathematics, vol. 3, no. 3, pp. 188-190, 2013. https://doi.org/ 10.7763/IJAPM.2013.V3.203
Copyright & License
Copyright © 2013 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).