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Coupled fixed point theorems in partially ordered G -metric spaces

In this paper, we prove some coupled fixed point theorems for nonlinear contractive mappings having the mixed monotone property in partially ordered G -metric spaces. The results on fixed point theorems are generalizations of the recent results of Choudhury and Maity [B.S. Choudhury, P. Maity, Coupl...

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Bibliographic Details
Published in:Mathematical and computer modelling 2012-02, Vol.55 (3), p.1601-1609
Main Authors: Luong, Nguyen Van, Thuan, Nguyen Xuan
Format: Article
Language:English
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Summary:In this paper, we prove some coupled fixed point theorems for nonlinear contractive mappings having the mixed monotone property in partially ordered G -metric spaces. The results on fixed point theorems are generalizations of the recent results of Choudhury and Maity [B.S. Choudhury, P. Maity, Coupled fixed point results in generalized metric spaces, Math. Comput. Modelling 54 (2011) 73–79].
ISSN:0895-7177
1872-9479
DOI:10.1016/j.mcm.2011.10.058