Fixed Point Theorems on Ordered Metric Spaces through a Rational Contraction
Joint Authors
Imdad, Mohammad
Kumam, Poom
Gopal, Dhananjay
Rouzkard, Fayyaz
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-22
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Ran and Reurings (2004) established an interesting analogue of Banach Contraction Principle in a complete metric 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 increasing mappings 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.
American Psychological Association (APA)
Kumam, Poom& Rouzkard, Fayyaz& Imdad, Mohammad& Gopal, Dhananjay. 2013. Fixed Point Theorems on Ordered Metric Spaces through a Rational Contraction. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-454463
Modern Language Association (MLA)
Kumam, Poom…[et al.]. Fixed Point Theorems on Ordered Metric Spaces through a Rational Contraction. Abstract and Applied Analysis No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-454463
American Medical Association (AMA)
Kumam, Poom& Rouzkard, Fayyaz& Imdad, Mohammad& Gopal, Dhananjay. Fixed Point Theorems on Ordered Metric Spaces through a Rational Contraction. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-454463
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-454463