北京师范大学学报(自然科学版)2017,Vol.53Issue(4):379-383,5.DOI:10.16360/j.cnki.jbnuns.2017.04.001
赋值Banach代数的锥度量空间中的一类新型不动点定理
New fixed point theorems in cone metric spaces over Banach algebras
摘要
Abstract
In the present paper the concept of α-admissible mapping for the vector version is introduced and several fixed point theorems are obtained for contractive mappings with s-admissible mappings in cone metric spaces over Banach algebras without assumption of normality of cones.There are significant improvements over other results in the literature.Further,an example is given to illustrate the main assertions.关键词
锥度量空间/广义Lipschitz常数/α-可容许函数/α-正则/不动点Key words
cone metric space/generalized Lipschitz constant/α-admissible mapping/α-regular/fixed point分类
数理科学引用本文复制引用
黄华平,邓冠铁,陈占美..赋值Banach代数的锥度量空间中的一类新型不动点定理[J].北京师范大学学报(自然科学版),2017,53(4):379-383,5.基金项目
国家自然科学基金资助项目(11271045) (11271045)