C^*-代数值度量空间中公共耦合不动点定理  

Common Coupled Fixed Point Theorems in C*-Algebra-Valued Metric Spaces

作　　者：辛巧玲 曹天庆 

机构地区：[1]天津师范大学,数学科学学院,天津 [2]天津工业大学,数学科学学院,天津

出　　处：《应用数学进展》2021年第1期218-229,共12页Advances in Applied Mathematics

摘　　要：本文给出了完备的C∗-代数值度量空间上不同压缩映射的公共耦合不动点定理。作为应用,证明了Fredholm非线性积分算子解的存在唯一性。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.

关 键 词：耦合重合点 不动点 C^*-代数 正元 

分 类 号：O17[理学—数学]