Discussion on some coupled fixed point theorems

被引:0
作者
Bessem Samet
Erdal Karapınar
Hassen Aydi
Vesna Ćojbas̆ić Rajić
机构
[1] King Saud University,Department of Mathematics
[2] Atılım University,Department of Mathematics
[3] Université de Sousse,Institut Supérieur d’Informatique et des Technologies de Communication de Hammam Sousse
[4] University of Belgrade,Faculty of Economics
来源
Fixed Point Theory and Applications | / 2013卷
关键词
coupled fixed point; fixed point; ordered set; metric space;
D O I
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中图分类号
学科分类号
摘要
In this paper, we show that, unexpectedly, most of the coupled fixed point theorems (on ordered metric spaces) are in fact immediate consequences of well-known fixed point theorems in the literature.
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  • [1] Ran ACM(2004)A fixed point theorem in partially ordered sets and some applications to matrix equations Proc. Am. Math. Soc 132 1435-1443
  • [2] Reurings MCB(2005)Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations Order 22 223-239
  • [3] Nieto JJ(2010)Generalized contractions in partially ordered metric spaces and applications to ordinary differential equations Nonlinear Anal 72 1188-1197
  • [4] Rodríguez-López R(2010)A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations Nonlinear Anal 72 2238-2242
  • [5] Harjani J(2011)Equivalent conditions for generalized contractions on (ordered) metric spaces Nonlinear Anal 74 768-774
  • [6] Sadarangani K(2009)Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces Nonlinear Anal 70 4341-4349
  • [7] Amini-Harandi A(2006)Fixed point theorems in partially ordered metric spaces and applications Nonlinear Anal 65 1379-1393
  • [8] Emami H(2013)Coupled and tripled fixed point theory in partially ordered metric spaces with application to initial value problem Math. Comput. Model 57 2343-2348
  • [9] Jachymski J(2011)Generalized coupled fixed point theorems for mixed monotone mappings in partially ordered metric spaces Nonlinear Anal 74 7347-7355
  • [10] Lakshmikantham V(2012)Coupled fixed point theorems for Φ-contractive mixed monotone mappings in partially ordered metric spaces Nonlinear Anal 75 3218-3228