Abstract
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.MSC:Primary 47H10; secondary 54H25; 34B15.
Highlights
1 Introduction and preliminaries The notion of a coupled fixed point is introduced by Bhaskar and Lakshmikantham [ ]
We summarize in the following the basic notions and results established in [, ]
We present the new k-fixed point, and by defining the notion of a new g-monotone mapping, the existence of a k-coincidence point and the uniqueness of a common k-fixed point are obtained
Summary
N-fixed point theorems for nonlinear contractions in partially ordered metric spaces. Mohadeseh Paknazar1*, Madjid Eshaghi Gordji[2], Manuel De La Sen[3] and Seyed Mansour Vaezpour[4]
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