| 半序Banach空间上映射的本质性和平凡性 |
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| 引用本文： | 吴行平. 半序Banach空间上映射的本质性和平凡性[J]. 西南师范大学学报(自然科学版), 1994, 19(1): 5-10 |
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| 作者姓名： | 吴行平 |
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| 作者单位： | 西南师范大学数学系 |
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| 摘 要： | 给出了半序Ｂａｎａｃｈ空间上映射的本质性和平凡性的几个判定定理，应用它们得到了锥压缩不动点定理的下述推广：定理６设ｘ是ｂｅｎａｃｈ空间，Ｙ是具有锥Ｋ的Ｂａｎａｃｂ空间，Ω＿１和Ω＿２是Ｘ的有界开集，本质，全连续，若则存在使得Ａｘ＝Ｊｘ。
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| 关 键 词： | 锥 不动点 巴拿赫空间 映射 平凡性 |
ESSENTIALITY AND INESSENTIALITY OF MAPPINGS ON ORDERED BANACH SPACES |
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| Wu Xingping. ESSENTIALITY AND INESSENTIALITY OF MAPPINGS ON ORDERED BANACH SPACES[J]. Journal of southwest china normal university(natural science edition), 1994, 19(1): 5-10 |
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| Authors: | Wu Xingping |
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| Abstract: | Some judgement theorems about the essentiality and inessentiality of mappings on ordered Banachspaces are given and with the help of them, the following extensions of cone contraction fixed pointtheorem are obtained. Theorem 6 Suppose that X is a Banach space,Y is a Banach space with a cone K,and areopen and bounded in X,is essential,is completelycontinuous.Ifthen there exists such that |
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| Keywords: | cone completely continuous homotopy spectral radius fixed-point |
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