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Commun. Korean Math. Soc. 2017; 32(2): 375-387
Online first article February 3, 2017 Printed April 30, 2017
https://doi.org/10.4134/CKMS.c160127
Copyright © The Korean Mathematical Society.
Coincidence theorems for comparable generalized non linear contractions in ordered partial metric spaces
Ramesh Chandra Dimri and Gopi Prasad
H.N.B. Garhwal University, H.N.B. Garhwal University
In this paper, we prove some coincidence point theorems involving $\varphi$-contraction in ordered partial metric spaces. We also extend newly introduced notion of $g$-comparability of a pair of maps for linear contraction in ordered metric spaces to non-linear contraction in ordered partial metric spaces. Thus, our results extend, modify and generalize some recent well known coincidence point theorems of ordered metric spaces.
Keywords: ordered partial metric space, $g$-comparable mappings, ICU property, TCC property
MSC numbers: 47H10, 54H25
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