ON KANNAN FIXED POINT PRINCIPLE IN GENERALIZED METRIC SPACES
Volume 2, Issue 2, pp 92-96
Publication Date: May 15, 2009
Authors
Dorel Miheţ
- West University of Timişoara, Bv. V. Parvan 4, 300223, Timişoara, Romania.
Abstract
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inequality has been replaced by a more general one involving four points, has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.
Keywords
- Generalized metric space
- T-orbitally complete
- Fixed point.
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