摘要
在不考虑映射的连续性和锥的正规性条件下,得到赋值Banach代数的锥度量空间中c-距离意义下压缩型映射不动点的存在性和唯一性定理,在很大程度上改进和补充了前人的结果,并举例验证了得到的结论。另外,通过解决一个初等方程解的存在性和唯一性问题,说明了所得结果的一个重要应用。
The authors obtain several theorems of the existence and uniqueness of fixed point for contractive mappings under c-distance in cone metric spaces over Banach algebras without the assumptions of normality of cones and the continuity of mappings. The results greatly improve and complement some previous results. Moreover, a supportive example to illustrate the main assertions is also given. Otherwise, by solving the problem of existence and uniqueness for an elementary equation, a significant application for the obtained results is presented.
作者
黄华平
邓冠铁
HUANG Huaping;DENG Guantie(Laboratory of Mathematics and Complex Systems(MOE),School of Mathematical Sciences,Beijing Normal University,Beijing 100875)
出处
《北京大学学报(自然科学版)》
EI
CAS
CSCD
北大核心
2018年第4期693-698,共6页
Acta Scientiarum Naturalium Universitatis Pekinensis
基金
国家自然科学基金(11271045)资助