| 半序线性空间中混合单调映射不动点的存在唯一性 |
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| 引用本文： | 赵增勤.半序线性空间中混合单调映射不动点的存在唯一性[J].系统科学与数学,1999,19(2):217-244. |
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| 作者姓名： | 赵增勤 |
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| 作者单位： | 曲阜师范大学数学系!曲阜，273165 |
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| 基金项目： | 国家自然科学基金，山东省自然科学基金 |
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| 摘 要： | 本文研究半序线性空间中一类混合单调映射不动点的存在唯一性及其迭代方法，对所述映射没作连续性或紧性假定．其推论改进了序Banach空间中增算子与减算子的某些已知结果．最后把所得结论用于常微分方程奇异边值问题．
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| 关 键 词： | 半序线性空间 σ-完备集 e-凹凸映射 不动点 |
UNIQUENESS AND EXISTENCE OF FIXED POINTS ON SOME MIXED MONOTONE MAPPINGS IN ORDERED LINEAR SPACES |
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| Zeng Qin ZHAO.UNIQUENESS AND EXISTENCE OF FIXED POINTS ON SOME MIXED MONOTONE MAPPINGS IN ORDERED LINEAR SPACES[J].Journal of Systems Science and Mathematical Sciences,1999,19(2):217-244. |
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| Authors: | Zeng Qin ZHAO |
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| Institution: | Department of Mathematics, Qufu Normal University, Qufu 273165,P.R.China |
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| Abstract: | In this paper, we study the uniqueness and existence of fixed points for a class of mixed monotone mappings in the partially ordered linear space. The iterative methods are also discussed. Nor the continuity or the compactness of mappings is assumed. The corollary improves some well--known results of increasing or decreasing operators. The obtained results are then applied to the singular boundary problems in ordinary differential equations. |
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