International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 16, Pages 2617-2629
doi:10.1155/IJMMS.2005.2617
Semicompatibility and fixed point theorems in fuzzy metric space using implicit relation
Bijendra Singh1
and Shishir Jain2
1School of Studies in Mathematics, Vikram University, University Road Ujjain, Madhya Pradesh 456010, India
2Shri Vaishnav Institute of Technology and Science, Indore 453331, Madhya Pradesh, India
Abstract
The concept of semicompatibility has been introduced in fuzzy metric space and it has been applied to prove results on existence of unique common fixed point of four self-maps satisfying an implicit relation. Recently, Popa (2002) has employed a similar but not the same implicit relation to obtain a fixed point theorem for d-complete topological spaces. All the results of this paper are new.