COMMON FIXED POINT FOR COMPATIBLE PAIRS OF MAPPINGS IN NON-COMPLETE METRIC SPACES
NEERAJ ANANT PANDE 1, J. ACHARI 2, PRACHI R. AGRAWAL 3 1. Department of Mathematics and Statistics, Yeshwant Mahavidyalalya (College), Nanded - 431602, Maharashtra, INDIA, email : napande@rediÂźmail.com
2. 69-B, Ramamand Nagar, Near Pawdewadi Naka, Nanded - 431605, Maharashtra, INDIA
3. Department of Mathematics, Brijlal Biyani Science College | Sant Gadge Baba Amravati University, Amravati - 444602, Maharashtra, INDIA
We prove the existence and uniqueness of a common fixed point for two compatible pairs of self-maps of a metric space. Instead of the completeness of the metric space, we use a weaker assumption, namely, the convergence of alternate images of an associated sequence. Our main result generalizes several known results from [1], [3], [4] and [5].
