摘要
研究了锥度量空间中关于压缩映射和扩张映射的Picard迭代的T-稳定性,并且列举了一些例子验证了其结论.同时通过应用这些结论,获得了一类常见的带有边值条件的微分方程的正解公式.
In this paper we investigate the T-stability of fixed point Picard's iteration procedures for contractive mappings and expansive mappings, respectively. We illustrate our conclusions for some examples. Furthermore, we use our results to obtain the unique positive solution for an ordinary differential equation with boundary conditions.
出处
《数学物理学报(A辑)》
CSCD
北大核心
2015年第2期395-404,共10页
Acta Mathematica Scientia
基金
韩山师范学院博士启动项目(QD20110920)资助
关键词
T-稳定性
锥度量空间
压缩映射
扩张映射
不动点
T-Stability
Cone metric space
Contractive mapping
Expansive mapping
Fixed point.