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Journal of Complex Analysis
Volume 2016 (2016), Article ID 9786063, 7 pages
Research Article

Complex Valued -Metric Spaces and Common Fixed Point Theorems under Rational Contractions

Department of Mathematics, Bhilai Institute of Technology, Bhilai House, Durg, Chhattisgarh 491001, India

Received 16 November 2015; Revised 2 March 2016; Accepted 10 May 2016

Academic Editor: Arcadii Z. Grinshpan

Copyright © 2016 Anil Kumar Dubey. 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.


The aim of this paper is to prove the existence and uniqueness of a common fixed point for a pair of mappings satisfying certain rational contraction conditions in complex valued -metric space. The obtained results generalize and extend some of the well-known results in the literature.