Some unique fixed point theorems for rational contractions in partially ordered metric spaces
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Date
2013
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Springeropen
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Abstract
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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KARAPINAR, ERDAL/0000-0002-6798-3254; Arshad, Muhammad/0000-0003-3041-328X
Keywords
fixed point, rational contractions, partially ordered metric spaces
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