N-fixed point theorems for nonlinear contractions in partially ordered metric spaces

被引：0
|
作者：
Mohadeseh Paknazar
Madjid Eshaghi Gordji
Manuel De La Sen
Seyed Mansour Vaezpour
机构：
[1] Islamic Azad University,Department of Mathematics, Science and Research Branch
[2] Semnan University,Department of Mathematics
[3] University of Basque Country,Institute of Research and Development of Processes
[4] Amirkabir University of Technology,Departement of Mathematics and Computer Sciences
来源：
Fixed Point Theory and Applications | / 2013卷
关键词：
partially ordered set; fixed point; contractive mapping;
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学科分类号：
摘要：
In present paper we introduce the concept of a new g-monotone mapping and define the notions of n-fixed point and n-coincidence point and prove some related theorems for nonlinear contractive mappings in partially ordered complete metric spaces. Our results are generalization of the main results of Lakshmikantham and Ćirić (Nonlinear Anal. 70:4341-4349, 2009) and include several recent developments. Moreover, we give an example to support our results.
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