Abstract and Applied Analysis
Volume 2014, Article ID 450792, 9 pages
http://dx.doi.org/10.1155/2014/450792
Common Fixed Points for Nonlinear Quasi-Contractions of Ćirić Type
School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China
Received 25 March 2014; Revised 28 May 2014; Accepted 11 June 2014; Published 3 July 2014
Academic Editor: Geraldo Botelho
Copyright © 2014 Fei He. 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 establish common fixed points theorems for two self-mappings satisfying a nonlinear contractive condition of Ćirić type with a Q-function. Furthermore, using the scalarization method, we deduce some results of common fixed point in tvs-cone metric spaces with a c-distance. As application, we give a positive answer to the question of Ćirić et al. posed in 2012. Our results extend and generalize many recent results.