Back to Search
Start Over
Fixed Point Theorems on Ordered Metric Spaces through a Rational Contraction.
- Source :
-
Abstract & Applied Analysis . 2013, p1-9. 9p. - Publication Year :
- 2013
-
Abstract
- Ran and Reurings (2004) established an interesting analogue of Banach Contraction Principle in a completemetric space equipped with a partial ordering and also utilized the same oneto discuss the existence of solutions to matrix equations. Motivated by this paper, we prove results on coincidence points for a pair of weakly increasingmappings satisfying a nonlinear contraction condition described by a rational expression on an ordered complete metric space. The uniqueness of common fixed point is also discussed. Some examples are furnished to demonstrate the validity of the hypotheses of our results. As an application, we derive an existence theorem for the solution of an integral equation. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10853375
- Database :
- Academic Search Index
- Journal :
- Abstract & Applied Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 95426945
- Full Text :
- https://doi.org/10.1155/2013/206515