Geodesic
KANNAN FIXED POINT THEOREM ON GENERALIZED METRIC SPACES
AZAM , AKBAR 1 ; ARSHAD, MUHAMMAD2
1 Department of Mathematics, F.G. Postgraduate College, Islamabad, Pakistan
2 Department of Mathematics, Faculty of Basic and Applied Sciences, International Islamic University, Islamabad, Pakistan
Journal of nonlinear sciences and its applications, Tome 1 (2008) no. 1, p. 45-48.

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

We obtain sufficient conditions for existence of unique fixed point of Kannan type mappings defined on a generalized metric space.
DOI : 10.22436/jnsa.001.01.07
Classification : 47H10, 54H25
Keywords: Fixed point, contractive type mapping, generalized metric space

AZAM , AKBAR  1 ; ARSHAD, MUHAMMAD 2

1 Department of Mathematics, F.G. Postgraduate College, Islamabad, Pakistan
2 Department of Mathematics, Faculty of Basic and Applied Sciences, International Islamic University, Islamabad, Pakistan 
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AZAM , AKBAR ; ARSHAD, MUHAMMAD. KANNAN FIXED POINT THEOREM ON GENERALIZED   METRIC SPACES. Journal of nonlinear sciences and its applications, Tome 1 (2008) no. 1, p. 45-48. doi : 10.22436/jnsa.001.01.07. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.001.01.07/

[1] A. Branciari A fixed point theorem of Banach-Caccippoli type on a class of generalized metric spaces, Publ. Math. Debrecen, Volume 57 1-2 (2000), pp. 31-37

[2] Goebel, K.; W. A. Kirk Topics in metric fixed point theory, Cambridge University Press, Cambridge , 1990 | DOI

[3] Kannan, R. Some results on fixed points, Bull. Calcutta. Math.Soc., Volume 60 (1968), pp. 71-76

[4] B. E. Rhoads A comparison of various definitions of contractive mappings, Trans. Amer. Math. Soc., Volume 26 (1977), pp. 257-290 | Zbl | DOI

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