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Bull. Korean Math. Soc. 2015; 52(3): 881-893
Printed May 31, 2015
https://doi.org/10.4134/BKMS.2015.52.3.881
Copyright © The Korean Mathematical Society.
Fixed point theorems of weakly monotone Pre\v{s}i\'{c} type mappings in ordered cone metric spaces
Mohammad Saeed Khan, Satish Shukla, and Shin Min Kang
Sultan Qaboos University, Shri Vaishnav Institute of Technology and Science, Gyeongsang National University
In this paper, we introduce the weakly monotone Pre\v{s}i\'{c} type mappings in product spaces when the underlying space is an ordered cone metric space. Some fixed point results for such mappings are also proved which generalize and unify several known results in metric and cone metric spaces with normal cone. The results are supported by examples.
Keywords: Pre\v{s}i\'{c} type mapping, weakly monotone Pre\v{s}i\'{c} type mapping, ordered cone metric space, fixed point
MSC numbers: 54H25, 47H10
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