Geodesic
On coupled generalised Banach and Kannan type contractions
Choudhury, B. S.1 ; Kundu, Amaresh2
1 Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah-711103, West Bengal, India
2 Department of Mathematics, Siliguri Institute of Technology, Sukna, Darjeeling-734009, West Bengal, India
Journal of nonlinear sciences and its applications, Tome 5 (2012) no. 4, p. 259-270.

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

In this paper we have proved two theorems in which we have established the existence of coupled fixed point results in partially ordered complete metric spaces for generalised coupled Banach and Kannan type mappings. The generalisation has been accomplished by following the line of argument given by Geraghty [Proc. Amer. Math. Soc., 40 (1973), 604-608] . Here the mapping are assumed to satisfy certain contractive type inequalities. We have illustrated our result with two examples. First example is presented to show that our result is a proper generalizations of the corresponding results of Bhaskar et al [Nonlinear Anal. TMA, 65 (7) (2006), 1379-1393].
DOI : 10.22436/jnsa.005.04.02
Classification : 54H25, 54H10
Keywords: Partially ordered set, Contractive-type mapping, Mixed monotone property, Coupled fixed point.

Choudhury, B. S. 1 ; Kundu, Amaresh 2

1 Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah-711103, West Bengal, India
2 Department of Mathematics, Siliguri Institute of Technology, Sukna, Darjeeling-734009, West Bengal, India 
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Choudhury, B. S.; Kundu, Amaresh. On coupled generalised Banach and Kannan type contractions. Journal of nonlinear sciences and its applications, Tome 5 (2012) no. 4, p. 259-270. doi : 10.22436/jnsa.005.04.02. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.005.04.02/

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