Coincidence point results of multivalued weak C-contractions on metric spaces with a partial order


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.


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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


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