On $I$ and $I^{\ast }$-Cauchy conditions in $C^{\ast }$-algebra valued metric spaces

Abstract

The idea of $C^{\ast }$-algebra valued metric spaces was given by Z. Ma et al \cite{111} in 2014. Here we have studied the ideas of $I$-Cauchy and $I^{\ast }$-Cauchy sequences and their properties in such spaces and also we give the idea of $C^{\ast }$-algebra valued normed spaces.

8 pages