ON KANNAN FIXED POINT PRINCIPLE IN GENERALIZED METRIC SPACES


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The concept of a generalized metric space, where the triangle inequality has been replaced by a more general one involving four points, has been recently introduced by Branciari.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.


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