Journal of Applied Mathematics
Volume 2012 (2012), Article ID 165698, 15 pages
http://dx.doi.org/10.1155/2012/165698
Research Article

Fixed Point Theorem for Cyclic Chatterjea Type Contractions

Erdal Karapınar1 and Hemant Kumar Nashine2

1Department of Mathematics, Atılım University, Incek, 06836 Ankara, Turkey
2Department of Mathematics, Disha Institute of Management and Technology, Satya Vihar, Vidhansabha-Chandrakhuri Marg, Mandir Hasaud, Raipur 492101, India

Received 23 April 2012; Revised 1 August 2012; Accepted 1 August 2012

Academic Editor: Saeid Abbasbandy

Copyright © 2012 Erdal Karapınar and Hemant Kumar Nashine. 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.

Abstract

We introduce the notion of cyclic weakly Chatterjea type contraction and generalized cyclic weakly Chatterjea type contraction in metric spaces. We discussed the existence of fixed point theorems of (generalized) cyclic weakly Chatterjea type contraction mappings in the context of complete metric spaces. Our main theorems extend and improve some fixed point theorems in the literature.