COMMON FIXED POINT THEOREMS FOR A PAIR OF WEAKLY COMPATIBLE MAPPINGS IN FUZZY METRIC SPACES USING COMMON LIMIT IN THE RANGE PROPERTY
SAURABH MANRO 1, S. S. BHATIA 1, SANJAY KUMAR 2 AND BRIAN FISHER 3 1. School of Mathematics and Computer Applications Thapar University, Patiala, Pun-jab, INDIA, e-mail: sauravmanro@hotmail.com, e-mail: ssbhatia@thapar.edu
2. Deenbandhu Chhotu Ram University of Science and Technology,
Murthal (Sonepat), INDIA, sanjuciet@rediff.com
3. Department of Mathematics, University of Leicester, Leicester LE1
7RH, UK, fbr@leicester.ac.uk
The aim of this work is to establish some new common fixed point theorems for four self mappings satisfying an implicit contractive condition in fuzzy metric spaces by using common limit in range property and give some examples. Our results do not require the condition of closedness of range and so our theorems generalize, unify and extend many results in the literature.