Common coupled fixed point theorems in C^*-algebra-valued metric spaces

2016/01/26 by Cao, Tianqing, Xin, Qiaoling
#47H10 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1601.07168

Abstract

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.

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