Coupled fixed point theorems for generalized symmetric Meir-Keeler contractions in ordered metric spaces

被引：0
|
作者：
Vasile Berinde
Mădălina Păcurar
机构：
[1] North University of Baia Mare,Department of Mathematics and Computer Science
[2] Babeş-Bolyai University of Cluj-Napoca,Department of Statistics, Analysis, Forecast and Mathematics, Faculty of Economics and Bussiness Administration
来源：
Fixed Point Theory and Applications | / 2012卷
关键词：
Fixed Point Theorem; Contractive Condition; Nonlinear Anal; Strict Inequality; Coincidence Point;
D O I：
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摘要：
In this paper we introduce generalized symmetric Meir-Keeler contractions and prove some coupled fixed point theorems for mixed monotone operators F:X×X→X in partially ordered metric spaces. The obtained results extend, complement and unify some recent coupled fixed point theorems due to Samet (Nonlinear Anal. 72:4508-4517, 2010), Bhaskar and Lakshmikantham (Nonlinear Anal. 65:1379-1393, 2006) and some other very recent papers. An example to show that our generalizations are effective is also presented.
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