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J. Korean Math. Soc. 2014; 51(6): 1189-1207
Printed November 1, 2014
https://doi.org/10.4134/JKMS.2014.51.6.1189
Copyright © The Korean Mathematical Society.
Multivariate coupled fixed point theorems on ordered partial metric spaces
Hosoo Lee and Sejong Kim
Yeungnam University, Chungbuk National University
A partial metric, also called a nonzero self-distance, is motivated by experience from computer science. Besides a lot of properties of partial metric analogous to those of metric, fixed point theorems in partial metric spaces have been studied recently. We establish several kinds of extended fixed point theorems in ordered partial metric spaces with higher dimension under generalized notions of mixed monotone mappings.
Keywords: fixed point, mixed monotone property, partial metric space
MSC numbers: Primary 47H10; Secondary 54H25
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