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

被引:0
作者
Muhammad Arshad
Erdal Karapınar
Jamshaid Ahmad
机构
[1] International Islamic University,Department of Mathematics
[2] Atilim University,Department of Mathematics
[3] COMSATS Institute of Information Technology,Department of Mathematics
来源
Journal of Inequalities and Applications | / 2013卷
关键词
fixed point; rational contractions; partially ordered metric spaces;
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摘要
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.
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[1]  
Edelstein M(1962)On fixed points and periodic points under contraction mappings J. Lond. Math. Soc 37 74-79
[2]  
Hardy GC(1973)A generalization of fixed point theorem of S. Reich Can. Math. Bull 16 201-206
[3]  
Rogers T(1969)Some results on fixed points - II Am. Math. Mon 76 71-76
[4]  
Kannan R(1971)Some remarks concerning contraction mappings Can. Math. Bull 14 121-124
[5]  
Reich S(1973)Common fixed points of two mappings Pac. J. Math 48 299-312
[6]  
Wong CS(1975)Continuous convergence in partially ordered sets Gen. Topol. Appl 5 221-234
[7]  
Wolk ES(1981)Metrics on partially ordered sets - a survey Discrete Math 35 173-184
[8]  
Monjardet B(2004)A fixed point theorem in partially ordered sets and some application to matrix equations Proc. Am. Math. Soc 132 1435-1443
[9]  
Ran ACM(2005)Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations Order 22 223-239
[10]  
Reurings MCB(2007)Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equation Acta Math. Sin. Engl. Ser 23 2205-2212