ON KANNAN FIXED POINT PRINCIPLE IN GENERALIZED METRIC SPACES
- West University of Timişoara, Bv. V. Parvan 4, 300223, Timişoara, Romania..
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inequality has been replaced by a more general one involving four points, has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.
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Dorel Miheţ, ON KANNAN FIXED POINT PRINCIPLE IN GENERALIZED METRIC SPACES, Journal of Nonlinear Sciences and Applications, 2 (2009), no. 2, 92-96
Miheţ Dorel, ON KANNAN FIXED POINT PRINCIPLE IN GENERALIZED METRIC SPACES. J. Nonlinear Sci. Appl. (2009); 2(2):92-96
Miheţ, Dorel. "ON KANNAN FIXED POINT PRINCIPLE IN GENERALIZED METRIC SPACES." Journal of Nonlinear Sciences and Applications, 2, no. 2 (2009): 92-96
- Generalized metric space
- T-orbitally complete
- Fixed point.
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