Fixed points of p-cyclic Kannan type contractions in probabilistic spaces
Abstract
Probabilistic fixed point theory has developed substantially during the last two decades. In this paper we define a new contraction in probabilistic metric spaceswhich are spaces in which distribution functions play the role of the metric. We haveshown that under two separate conditions the mapping has a fixed point. Two illustrative examples are given.
Copyright © 2012 Binayak S. Choudhury, Krishnapada Das, Samir Kumar Bhandari. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
B. S. Choudhury, K. Das, S. K. Bhandari, Fixed points of p-cyclic Kannan type contractions in probabilistic spaces, J. Math. Comput. Sci. 2 (2012), 565–583.
BibTeX
@article{Choudhury2012,
author = {Choudhury, Binayak S. and Das, Krishnapada and Bhandari, Samir Kumar},
title = {Fixed points of p-cyclic Kannan type contractions in probabilistic spaces},
journal = {J. Math. Comput. Sci.},
volume = {2},
year = {2012},
pages = {565--583},
doi = {}
}