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Journal of Function Spaces and Applications
Volume 2013, Article ID 934758, 4 pages
http://dx.doi.org/10.1155/2013/934758
Research Article

A Note on the Fixed Point of Generalized Eventual Cyclic Gross Contractive Mappings

Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China

Received 5 August 2013; Accepted 7 September 2013

Academic Editor: T. Diagana

Copyright © 2013 Jin Liang and Sheng-Hua Yan. 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

Based on the work of Agarwal et al., in press, we introduce a concept of generalized eventual cyclic gross contractive mapping in metric spaces, which is a generalization of the eventual cyclic gross contractions. Furthermore, we analyze the existence of a fixed point for this type of contractive mapping, and present a new and general fixed point theorem.