Geodesic
Coincidence point results of multivalued weak C-contractions on metric spaces with a partial order
Choudhury, Binayak S.1 ; Metiya, N.2 ; Maity, P.1
1 Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah-711103, West Bengal, India
2 Department of Mathematics, Bengal Institute of Technology, Kolkata-700150, West Bengal, India
Journal of nonlinear sciences and its applications, Tome 6 (2013) no. 1, p. 7-17.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.006.01.03
Classification : 54 H 10, 54 H 25, 47 H 10.
Keywords: Partially ordered set, multivalued C-contraction, \(\delta\)- compatible, control function, coincidence point.

Choudhury, Binayak S. 1 ; Metiya, N. 2 ; Maity, P. 1

1 Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah-711103, West Bengal, India
2 Department of Mathematics, Bengal Institute of Technology, Kolkata-700150, West Bengal, India 
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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 its applications, Tome 6 (2013) no. 1, p. 7-17. doi : 10.22436/jnsa.006.01.03. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.006.01.03/

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