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

Tianqing Cao; Qiaoling Xin

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arXiv · 1601.07168

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

Tianqing Cao·Qiaoling Xin

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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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Tianqing Cao, Qiaoling Xin. 2016-01-26. Common coupled fixed point theorems in $C^*$-algebra-valued metric spaces. https://arxiv.org/abs/1601.07168

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