$C^{\ast}$-algebra-valued partial metric space and fixed point theorems

[摘要] In this paper, we introduce the notion of $C^{\ast}$-algebra-valued partial metric space which is more general than partial metric space. Some fixed point results using C-class functions on such spaces are obtained. Moreover, some illustrated examples are also provided.

[学科分类] 数学（综合）

[关键词] $C^{\ast}$-algebra-valued partial metric space;$C_{\ast}$-class function;fixed point