摘要
研究了具有两个平顶区间和一个严格递减区间的连续递减自映射的迭代问题.讨论了这一类单调连续自映射在各种不同的情况下经过迭代后的变化情况.其所得结果指出了这类自映射在迭代后平顶区间的变化规律,同时为寻求带平顶的连续递减自映射的迭代根提供了帮助.
The iteration of continuous and decreasing self-mappings with one strictly decreasing interval and two level-top intervals are studied. The changing regulations of this kind of continuous self-mappings in various circumstances under iteration are discussed. These results not only point out that how the level-top intervals change under iteration, but also give the helps to find the iterative roots of continuous self-mapping with two level-top intervals and one strictly monotonic interval.
出处
《湖南师范大学自然科学学报》
CAS
北大核心
2013年第5期15-18,共4页
Journal of Natural Science of Hunan Normal University
基金
浙江省自然科学基金资助项目(Y6100218)
浙江省教育厅自然科学基金资助项目(Y201327415)
关键词
平顶区间
连续递减自映射
迭代
迭代根
不动点
level-top interval
continuous and decreasing self-mapping
iteration
iterative root
the frxed point
