| 成凯歌.有平顶区间的递增自映射迭代[J].井冈山大学自然版,2013,(2):20-24 |
| 有平顶区间的递增自映射迭代 |
| ITERATION OF INCREASING SELF-MAPPING WITH LEVEL＇TOP INTERVALS |
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| DOI： |
| 中文关键词: 连续单调自映射 非单调点 平顶区间 不动点 迭代 |
| 英文关键词: continuous and monotonic self-mapping non-monotone point level-top interval the fixed point iteration |
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| 中文摘要: |
| 具有平顶区间的自映射反映了客观事物在变化过程中某个阶段是处于稳定状态的。研究了具有一个平项区间的连续递增自映射的迭代问题。讨论了这类连续自映射经过迭代后的变化规律，其所得结果不仅指出了在迭代过程中平台区间和平台高度是如何变化的，而且为寻求带平台的单调连续自映射的迭代根提供了思路。 |
| 英文摘要: |
| The self-mapping with level-top intervals reflects the steady state of a stage in the process of objective change. We study the iteration of continuous and increasing self-mapping with one level-top interval and one strictly increasing interval. Furthermore, we discuss the changing regulations of their level-top interval under iteration. The results not only point out that how to change the level-top intervals and level-top heights under iteration, but also show the ideas to find the iterative roots of continuous and monotonic self-mapping with one level-too interval. |
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