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;
D O I：
暂无
中图分类号：
学科分类号：
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.
引用
收藏
相关论文
共 53 条
[11]  
Nieto JJ(2007)Fixed point theorems in ordered abstract spaces Proc. Am. Math. Soc 135 2505-2517
[12]  
Lopez RR(2008)Generalized contractions in partially ordered metric spaces Appl. Anal 87 1-8
[13]  
Nieto JJ(2006)Fixed point theory in partially ordered metric spaces and applications Nonlinear Anal., Theory Methods Appl 65 1379-1393
[14]  
Lopez RR(2010)A coupled coincidence point result in partially ordered metric spaces for compatible mappings Nonlinear Anal., Theory Methods Appl 73 2524-2531
[15]  
Nieto JJ(2010)Fixed points of multivalued operators in ordered metric spaces with applications Nonlinear Anal., Theory Methods Appl 72 3929-3942
[16]  
Pouso L(2009)Couple fixed point theorems for nonlinear contractions in partially ordered metric spaces Nonlinear Anal., Theory Methods Appl 70 4341-4349
[17]  
Rodríguez-López R(2012)On some common fixed point theorems with rational expressions on cone metric spaces over a Banach algebra Hacet. J. Math. Stat 41 211-222
[18]  
Agarwal RP(2010)Fixed point and common fixed point theorems on ordered cone metric spaces Appl. Math. Lett 23 310-316
[19]  
El-Gebeily MA(2010)A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations Nonlinear Anal., Theory Methods Appl 72 2238-2242
[20]  
O’Regan D(2011)Coupled fixed point results for Comput. Math. Appl 62 4449-4460
123456