doi: 10.7763/IJAPM.2012.V2.133
CLRg Property for Coupled Fixed Point Theorems in Fuzzy Metric Spaces
M. Alamgir Khan
1
,
Sumitra
2
- 1 the Department of Mathematics, University of Kurdistan, Erbil
- 2 the Department of Mathematics, Jazan University, Saudi Arabia
Abstract
In this paper, we introduce the notions of E.A. property and common limit in range of g (CLRg) property for coupled mappings and prove a common coupled fixed point theorems without exploiting the notion of continuity, completeness of the whole space or any of its range spaces. Our theorems generalize the result of [5] and [10-14]. We also find an affirmative answer in fuzzy metric space to the problem of Rhoades [2]. Illustrative examples supporting our results have also been cited.
Keywords
- Coupled fixed point
- weakly compatible maps
- E.A. property and (CLRg) property
How to Cite
M. Alamgir Khan and Sumitra, "CLRg Property for Coupled Fixed Point Theorems in Fuzzy Metric Spaces," International Journal of Applied Physics and Mathematics, vol. 2, no. 5, pp. 355-358, 2012. https://doi.org/ 10.7763/IJAPM.2012.V2.133
Copyright & License
Copyright © 2012 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).