Coupled common fixed point results involving (ϕ,ψ)-contractions in ordered generalized metric spaces with application to integral equations

被引：0
作者：
Manish Jain
Kenan Tas
Neetu Gupta
机构：
[1] Ahir College,Department of Mathematics
[2] Cankaya University,Department of Mathematics and Computer Science
[3] YMCAUST,HAS Department
来源：
Journal of Inequalities and Applications | / 2013卷
关键词：
partially ordered set; mixed ; -monotone property; coupled coincidence point; coupled common fixed point;
D O I：
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摘要：
We establish some coupled coincidence and coupled common fixed point theorems for the mixed g-monotone mappings satisfying (ϕ,ψ)-contractive conditions in the setting of ordered generalized metric spaces. Presented theorems extend and generalize the very recent results of Choudhury and Maity (Math. Comput. Model. 54(1-2):73-79, 2011). To illustrate our results, an example and an application to integral equations have also been given.
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[11]  
Rhoades BE(2006)-metric spaces Nonlinear Anal 65 1379-1393
[12]  
Abbas M(2009)Coupled fixed point theorems in partially ordered Nonlinear Anal 70 4341-4349
[13]  
Nazir T(2010)-metric spaces Nonlinear Anal 73 2524-2531
[14]  
Radenovic S(2011)Coupled fixed point results for Nonlinear Anal 74 1749-1760
[15]  
Choudhury BS(2011)-weakly contractive mappings in ordered Nonlinear Anal 74 983-992
[16]  
Maity P(2010)-metric spaces Nonlinear Anal 72 4508-4517
[17]  
Abbas M(2004)Fixed point theorems in partially ordered metric spaces and applications Proc. Am. Math. Soc 132 1435-1443
[18]  
Khan AR(2005)Coupled fixed point theorems for non-linear contractions in partially ordered metric spaces Order 22 223-239
[19]  
Nazir T(2007)A coupled coincidence point result in partially ordered metric spaces for compatible mappings Acta Math. Sin. Engl. Ser 23 2205-2212
[20]  
Aydi H(2009)Fixed point theorems for mixed monotone operators and applications to integral equations Nonlinear Anal 71 3403-3410
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