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Coupled fixed and coincidence points for monotone operators in partial metric spaces
Journal article   Open access  Peer reviewed

Coupled fixed and coincidence points for monotone operators in partial metric spaces

Saud M. Alsulami, Nawab Hussain and Abdullah Alotaibi
Fixed point theory and applications (Hindawi Publishing Corporation), Vol.2012(1), pp.1-14
09/10/2012
DOI: https://doi.org/10.1186/1687-1812-2012-173

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we prove some coupled fixed point results for (phi,phi)-weakly contractive mappings in ordered partial metric spaces. As an application, we establish coupled coincidence results without any type of commutativity of the concerned maps. Consequently, the results of Luong and Thuan (Nonlinear Anal. 74:983-992, 2011), Alotaibi and Alsulami (Fixed Point Theory Appl. 2011:44, 2011) and many others are extended to the class of ordered partial metric spaces.
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https://doi.org/10.1186/1687-1812-2012-173View
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