赋值Banach代数的偏序D^-度量空间和公共不动点定理  

Cone D^*-metric spaces over Banach algebras and common fixed point theorems

作　　者：陶陶 薛西锋 Tao Tao;Xue Xifeng(School of Mathematics,Northwest University,Xi′an 710127,China)

机构地区：[1]西北大学数学学院,陕西西安710127

出　　处：《纯粹数学与应用数学》2020年第1期58-66,共9页Pure and Applied Mathematics

基　　金：陕西省自然科学基金(202030009).

摘　　要：基于完备的D^*-度量空间,提出具有Banach代数的偏序D^*-度量空间的定义,通过迭代序列的构造,证明了新定义下不动点定理的存在性及唯一性理论.随后引入了关于两个连续自映射的公共不动点定理,并对其存在性和唯一性进行了研究.所得结果推广了现有文献.Based on the concept of complete cone D^*-metric spaces over Banach algebras, the notions of some new contractive mappings are firstly put forward, then the existence and uniqueness of commonfixed point for two continuous self-mappings are discussed, some new fixed point theorems are proved,which improved several relative results largely.

关 键 词：具有Banach代数的偏序D^*-度量空间 公共不动点 谱半径 

分 类 号：O178[理学—数学]