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Abstract and Applied Analysis
Volume 2017 (2017), Article ID 9718535, 10 pages
Research Article

A New Class of Contraction in -Metric Spaces and Applications

1Department of Mathematics, DCRUST, Murthal, Sonepat 131 039, India
2Department of Mathematics and Computer Science, Çankaya University, Ankara, Turkey

Correspondence should be addressed to Preeti Kaushik

Received 7 March 2017; Revised 27 April 2017; Accepted 8 May 2017; Published 11 June 2017

Academic Editor: Kunquan Lan

Copyright © 2017 Preeti Kaushik et al. 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.


A novel class of --contraction for a pair of mappings is introduced in the setting of -metric spaces. Existence and uniqueness of coincidence and common fixed points for such kind of mappings are investigated. Results are supported with relevant examples. At the end, results are applied to find the solution of an integral equation.