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

Volume 6, Issue 1, pp 7--17
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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.

•  54 H 10
•  54 H 25
•  47 H 10.

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