Abstract
In this paper, fixed points of generalized contractive mappings and n-times reasonable expansive mappings over a C^{∗}-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.
Cuvinte cheie
C^{∗}-algebra
C^{∗}-algebra valued metric space
d-point
C^{∗}-algebra valued Har-dy-Rogers type contractive mapping
C^{∗}-algebra valued n-times reasonable expansive mapping
fixed point