doi: 10.7763/IJAPM.2013.V3.231
Extension of Some Common Fixed Point Theorems
Krishna P. Patel
,
G. M. Deheri
- the Sardar Patel University, Vallabh Vidhya Nagar, Gujarat, India
Abstract
It is well-known that the classical Banach’s fixed point theorem has been generalized in various directions. This celebrated result has been extended to the theory of common fixed points. A few theorems dealing with the existence and uniqueness of common fixed points are presented here. These results not only extend but also sharpens some of the well known results found in the literature. There is a result which says that there does exist an improvement in the rate of convergence also.
Keywords
- Banach fixed point theorem
- common fixed point
- hilbert space
- uniqueness
How to Cite
Krishna P. Patel and G. M. Deheri, "Extension of Some Common Fixed Point Theorems," International Journal of Applied Physics and Mathematics, vol. 3, no. 5, pp. 329-335, 2013. https://doi.org/ 10.7763/IJAPM.2013.V3.231
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).