Common coupled fixed point theorems in $C^*$-algebra-valued metric   spaces
  In this paper, we prove some common coupled fixed point theorems for mappings satisfying different contractive conditions in the context of complete $C^*$-algebra-valued metric spaces. Moreover, the paper provides an application to prove the existence and uniqueness of a solution for Fredholm nonlinear integral equations. 
Tianqing Cao, Qiaoling Xin
math.OA math.FA