doi: 10.7763/IJAPM.2014.V4.275
Weak Reciprocal Continuity and Common Fixed Point Theorems
,
G. M. Deheri
- the Department of Mathematics from the Sardar
Abstract
This investigation aims to establish the importance of weak reciprocal continuity of the maps in deriving the common fixed point theorems. The existence and uniqueness of the common fixed points are obtained under generalized contractive conditions in the setting of complete metric spaces. That the rate of convergence is duly addressed is manifest in the proofs.
Keywords
- Complete metric space
- fixed point
- weak reciprocal continuity
- compatibility
How to Cite
Ekta H. Patel and G. M. Deheri, "Weak Reciprocal Continuity and Common Fixed Point Theorems," International Journal of Applied Physics and Mathematics, vol. 4, no. 3, pp. 159-165, 2014. https://doi.org/ 10.7763/IJAPM.2014.V4.275
Copyright & License
Copyright © 2014 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).