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Abstract and Applied Analysis
Volume 2012, Article ID 182947, 15 pages
Research Article

Cyclic Contractions on -Metric Spaces

1Department of Mathematics, Atilim University, 06836 incek, Turkey
2Department of Mathematics, Galatasaray University, 34349 Istanbul, Turkey

Received 29 June 2012; Accepted 1 September 2012

Academic Editor: Irena Rachůnková

Copyright © 2012 E. Karapınar et al. 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.


Conditions for existence and uniqueness of fixed points of two types of cyclic contractions defined on -metric spaces are established and some illustrative examples are given. In addition, cyclic maps satisfying integral type contractive conditions are presented as applications.