In 2001 Hussain and Shah [1] introduced cone b-metric space. Many researchers continued the work of Hussain and Shah, and prove some fixed point theorems and common fixed point theorems for multiple operators on these new spaces. In this paper we propose a notion of quasi-cone over Banach algebras, then by utilizing some new conditions and following their work with introducing two mappings T and S we improve the fixed point theorems to the common fixed point theorems. Two corollary are given to illustrate the usability of the obtained results.
