FIXED POINT THEOREMS FOR GENERALIZED CONTRACTIVE AND EXPANSIVE TYPE MAPPINGS OVER A C* - ALGEBRA VALUED METRIC SPACE

KUSHAL ROY ^{1} AND MANTU SAHA ^{2} 1. Department of Mathematics, The University of Burdwan Burdwan-713104, West Bengal, INDIA
e-mail: kushal.roy93@gmail.com
2. Department of Mathematics, The University of Burdwan Burdwan-713104, West Bengal, INDIA
e-mail: mantusaha.bu@gmail.com

In this paper, fixed points of generalized contractive mappings and n-times reasonable expansive mappings over a C^{âˆ—}-algebra valued metric space have been investigated. The results obtained so far are the existence of fixed points of generalized contractive mappings via the notion of d-point of a lower semi-continuous function on the underlying space. Also a result on coincidence point of two mappings has been established. Some examples are given in support of fixed points of expansive mappings.