Fixed point theorems on ordered metric spaces through a rational contraction

Journal article

Authors/Editors

POOM KUMAM

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Publication Details

Author list: Kumam P., Rouzkard F., Imdad M., Gopal D.

Publisher: Hindawi

Publication year: 2013

Journal: Abstract and Applied Analysis (1085-3375)

Volume number: 2013

ISSN: 1085-3375

eISSN: 1687-0409

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84884232458&doi=10.1155%2f2013%2f206515&partnerID=40&md5=6fe616ef02a9b466996474c1ba0b6e96

Languages: English-Great Britain (EN-GB)

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Abstract

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. ฉ 2013 Poom Kumam et al.

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