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Some unique fixed point theorems for rational contractions in partially ordered metric spaces
Journal article   Open access  Peer reviewed

Some unique fixed point theorems for rational contractions in partially ordered metric spaces

Muhammad Arshad, Erdal Karapinar and Jamshaid Ahmad
Journal of inequalities and applications, Vol.2013(1), pp.248-248
17/05/2013
DOI: https://doi.org/10.1186/1029-242X-2013-248

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we prove some unique fixed point results for an operator T satisfying certain rational contraction condition in a partially ordered metric space. Our results generalize the main result of Jaggi (Indian J. Pure Appl. Math. 8(2):223-230, 1977). We give several examples to show that our results are proper generalization of the existing one. MSC: 47H10, 54H25, 46J10, 46J15.
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https://doi.org/10.1186/1029-242X-2013-248View
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