Abstract and Applied Analysis
Volume 2013 (2013), Article ID 604215, 6 pages
http://dx.doi.org/10.1155/2013/604215
Research Article

Some Common Fixed-Point Theorems for Generalized-Contractive-Type Mappings on Complex-Valued Metric Spaces

Chakkrid Klin-eam and Cholatis Suanoom

Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand

Received 14 December 2012; Accepted 9 March 2013

Academic Editor: Somyot Plubtieng

Copyright © 2013 Chakkrid Klin-eam and Cholatis Suanoom. 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

Fixed-point theory in complex valued metric spaces has greatly developed in recent times. In this paper, we prove certain common fixed-point theorems for two single-valued mappings in such spaces. The mappings we consider here are assumed to satisfy certain metric inequalities with generalized fixed-point theorems due to Rouzkard and Imdad (2012). This extends and subsumes many results of other authors which were obtained for mappings on complex-valued metric spaces.