Geodesic
ON KANNAN FIXED POINT PRINCIPLE IN GENERALIZED METRIC SPACES
Miheţ, Dorel1
1 West University of Timişoara, Bv. V. Parvan 4, 300223, Timişoara, Romania.
Journal of nonlinear sciences and its applications, Tome 2 (2009) no. 2, p. 92-96.

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

The concept of a generalized metric space, where the triangle inequality has been replaced by a more general one involving four points, has been recently introduced by Branciari. Subsequently, some classical metric fixed point theorems have been transferred to such a space. The aim of this note is to show that Kannan's fixed point theorem in a generalized metric space is a consequence of the Banach contraction principle in a metric space.
DOI : 10.22436/jnsa.002.02.03
Classification : 47H10, 54H25
Keywords: Generalized metric space, T-orbitally complete, Fixed point.

Miheţ, Dorel 1

1 West University of Timişoara, Bv. V. Parvan 4, 300223, Timişoara, Romania. 
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Miheţ, Dorel. ON KANNAN FIXED POINT PRINCIPLE IN GENERALIZED METRIC SPACES. Journal of nonlinear sciences and its applications, Tome 2 (2009) no. 2, p. 92-96. doi : 10.22436/jnsa.002.02.03. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.002.02.03/

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