中山大学学报（自然科学版）Issue(5)：1-4,4.DOI:10.13471/j.cnki.acta.snus.2015.05.001
具有 Banach 代数的锥度量空间上拟压缩映射的新不动点定理
A New Fixed Point Theorem of Quasi-Contractions on Cone Metric Space
摘要
Abstract
By replacing Banach spaces by Banach algebras as the underlying spaces of cone metric spaces,the concept of cone metric spaces with Banach algebras has been introduced.And a fixed point theorem of quasi-contractions with the assumption of normality has been proved.By omitting the assump-tion of normality and utilizing the theory of c -sequence,the existence and uniqueness of the fixed point for the quasi-contractions is obtained in the setting of cone metric spaces with Banach algebras.As a con-sequence,the corresponding result in the literature is improved and generalized.关键词
具有 Banach 代数的锥度量空间/非正规锥/不动点定理/拟压缩映射/c-序列Key words
cone metric spaces with Banach algebras/non-normal cones/fixed point theorems/quasi-contractions/c -sequence分类
数理科学引用本文复制引用
许绍元,马超,周作领..具有 Banach 代数的锥度量空间上拟压缩映射的新不动点定理[J].中山大学学报（自然科学版）,2015,(5):1-4,4.基金项目
国家自然科学基金资助项目（11371379）；澳门科学技术发展基金资助项目（069／2011／A）；韩山师范学院2013年创新强系资助项目 （）
