Journal of Applied Mathematics
Volume 2013 (2013), Article ID 189321, 13 pages
http://dx.doi.org/10.1155/2013/189321
Research Article

Common Fixed Point Theorems in Modified Intuitionistic Fuzzy Metric Spaces

Saurabh Manro,1 Sanjay Kumar,2 S. S. Bhatia,1 and Kenan Tas3

1School of Mathematics and Computer Applications, Thapar University, Patiala, Punjab, India
2Deenbandhu Chhotu Ram University of Science and Technology, Murthal, Sonepat, India
3Cankaya University, Department of Mathematics and Computer Science, Ankara, Turkey

Received 20 December 2012; Revised 11 February 2013; Accepted 13 February 2013

Academic Editor: Reinaldo Martinez Palhares

Copyright © 2013 Saurabh Manro 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.

Abstract

This paper consists of main two sections. In the first section, we prove a common fixed point theorem in modified intuitionistic fuzzy metric space by combining the ideas of pointwise -weak commutativity and reciprocal continuity of mappings satisfying contractive conditions. In the second section, we prove common fixed point theorems in modified intuitionistic fuzzy metric space from the class of compatible continuous mappings to noncompatible and discontinuous mappings. Lastly, as an application, we prove fixed point theorems using weakly reciprocally continuous noncompatible self-mappings on modified intuitionistic fuzzy metric space satisfying some implicit relations.