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The concept of a generalized metric space, where the triangle inequality has been replaced by a more general one involving four points, has been recently introduced by Branciari.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


Share and Cite

  • Share on Facebook
  • Share on Twitter
  • Share on LinkedIn
ISRP Style

Dorel Miheţ, ON KANNAN FIXED POINT PRINCIPLE IN GENERALIZED METRIC SPACES, Journal of Nonlinear Sciences and Applications, 2 (2009), no. 2, 92-96

AMA Style

Miheţ Dorel, ON KANNAN FIXED POINT PRINCIPLE IN GENERALIZED METRIC SPACES. J. Nonlinear Sci. Appl. (2009); 2(2):92-96

Chicago/Turabian Style

Miheţ, Dorel. "ON KANNAN FIXED POINT PRINCIPLE IN GENERALIZED METRIC SPACES." Journal of Nonlinear Sciences and Applications, 2, no. 2 (2009): 92-96


Keywords


MSC


References