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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 182947, 15 pages
http://dx.doi.org/10.1155/2012/182947
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.

Citations to this Article [8 citations]

The following is the list of published articles that have cited the current article.

  • Feng Gu, and Hongqing Ye, “Common Fixed Point Theorems of Altman Integral Type Mappings in -Metric Spaces,” Abstract and Applied Analysis, vol. 2012, pp. 1–13, 2012. View at Publisher · View at Google Scholar
  • Hassen Aydi, Erdal Karapinar, and Bessem Samet, “Fixed Point Theorems for Various Classes of Cyclic Mappings,” Journal of Applied Mathematics, vol. 2012, pp. 1–15, 2012. View at Publisher · View at Google Scholar
  • Syed Abdul Mohiuddine, and Abdullah Alotaibi, “Coupled coincidence point theorems for compatible mappings in partially ordered intuitionistic generalized fuzzy metric spaces,” Fixed Point Theory and Applications, 2013. View at Publisher · View at Google Scholar
  • Hui-Sheng Ding, and Erdal Karapinar, “Meir-Keeler type contractions in partially ordered G-metric spaces,” Fixed Point Theory and Applications, 2013. View at Publisher · View at Google Scholar
  • Nurcan Bilgili, and Erdal Karapinar, “Cyclic contractions via auxiliary functions on G-metric spaces,” Fixed Point Theory and Applications, 2013. View at Publisher · View at Google Scholar
  • Erdal Karapinar, and Maryam A. Alghamdi, “G-beta-psi contractive-type mappings and related fixed point theorems,” Journal Of Inequalities And Applications, 2013. View at Publisher · View at Google Scholar
  • B.E. Rhoades, “Some comments concerning cyclic type contractions,” Applied Mathematics and Computation, vol. 233, pp. 505–506, 2014. View at Publisher · View at Google Scholar
  • Selma Gülyaz, and İnci Erhan, “Existence of solutions of integral equations via fixed point theorems,” Journal of Inequalities and Applications, vol. 2014, no. 1, pp. 138, 2014. View at Publisher · View at Google Scholar