Coincidence point results of multivalued weak C-contractions on metric spaces with a partial order
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Authors
Binayak S. Choudhury
- Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah-711103, West Bengal, India.
N. Metiya
- Department of Mathematics, Bengal Institute of Technology, Kolkata-700150, West Bengal, India.
P. Maity
- Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah-711103, West Bengal, India.
Abstract
In this paper we obtain some coincidence point results of a family of multivalued mappings with a singlevalued
mapping in a complete metric space endowed with a partial order. We use \(\delta\)- distance in this paper. A
generalized weak C-contraction inequality for multivalued functions and \(\delta\)-compatibility for certain pairs of
functions are assumed in the theorems. The corresponding singled valued cases are shown to extend a number
of existing results. An example is constructed which shows that the extensions are actual improvements.
Share and Cite
ISRP Style
Binayak S. Choudhury, N. Metiya, P. Maity, Coincidence point results of multivalued weak C-contractions on metric spaces with a partial order, Journal of Nonlinear Sciences and Applications, 6 (2013), no. 1, 7--17
AMA Style
Choudhury Binayak S., Metiya N., Maity P., Coincidence point results of multivalued weak C-contractions on metric spaces with a partial order. J. Nonlinear Sci. Appl. (2013); 6(1):7--17
Chicago/Turabian Style
Choudhury, Binayak S., Metiya, N., Maity, P.. "Coincidence point results of multivalued weak C-contractions on metric spaces with a partial order." Journal of Nonlinear Sciences and Applications, 6, no. 1 (2013): 7--17
Keywords
- Partially ordered set
- multivalued C-contraction
- \(\delta\)- compatible
- control function
- coincidence point.
MSC
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