Some Common Fixed Point Theorems in Complex Valued -Metric SpacesReport as inadecuate




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The Scientific World JournalVolume 2014 2014, Article ID 587825, 6 pages

Research ArticleDepartment of Mathematical Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

Received 6 January 2014; Accepted 12 March 2014; Published 25 May 2014

Academic Editors: A. Alotaibi and S. A. Mohiuddine

Copyright © 2014 Aiman A. Mukheimer. 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

Azam et al. 2011, introduce the notion of complex valued metric spaces and obtainedcommon fixed point result for mappings in the context of complex valued metric spaces. Rao et al. 2013 introduce the notion of complex valued -metric spaces. In this paper, wegeneralize the results of Azam et al. 2011, and Bhatt et al. 2011, by improving the conditionsof contraction to establish the existence and uniqueness of common fixed point for twoself-mappings on complex valued -metric spaces. Some examples are given to illustratethe main results.





Author: Aiman A. Mukheimer

Source: https://www.hindawi.com/



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