Journal of Applied Mathematics
Volume 2012 (2012), Article ID 302830, 17 pages
Research Article

On Approximate Coincidence Point Properties and Their Applications to Fixed Point Theory

Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 824, Taiwan

Received 29 October 2011; Revised 21 January 2012; Accepted 23 January 2012

Academic Editor: Giuseppe Marino

Copyright © 2012 Wei-Shih Du. 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.


We first establish some existence results concerning approximate coincidence point properties and approximate fixed point properties for various types of nonlinear contractive maps in the setting of cone metric spaces and general metric spaces. From these results, we present some new coincidence point and fixed point theorems which generalize Berinde-Berinde's fixed point theorem, Mizoguchi-Takahashi's fixed point theorem, and some well-known results in the literature.