doi: 10.17706/ijapm.2016.6.4.172-184
Extension of Some Common Fixed Point Theorems
Bina R. Patel
,
- Saradar Patel University, Vallabh Vidhyanagar, Gujarat, India
Abstract
The celebrated Banach fixed point theorem has been modified and developed in various aspects. It is not surprising all that this result admits several generalizations and improvement. Besides a good number of variations of the generalizations of the result are formed today. A few theorems dealing with existence and uniqueness of the fixed points are presented hear. This result not only extend the variation of the generalization of the Banach fixed point theorem but also improve the result. In addition the rate of convergence is found to be better.
Keywords
- Banach fixed point theorem
- common fixedpoint
- Hilbert space
- uniqueness
How to Cite
Bina R. Patel and G. M. Deheri, "Extension of Some Common Fixed Point Theorems," International Journal of Applied Physics and Mathematics, vol. 6, no. 4, pp. 172-184, 2016. https://doi.org/ 10.17706/ijapm.2016.6.4.172-184
Copyright & License
Copyright © 2016 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).