| 非线性算子和的值域定理 |
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| 引用本文： | 王桂祥,张青.非线性算子和的值域定理[J].河北农业大学学报,1999,22(1):96-98. |
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| 作者姓名： | 王桂祥 张青 |
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| 作者单位： | [1]河北农业大学基础部 [2]邯郸师专数学系 |
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| 摘 要： | Ｘ为实Ｂａｎａｃｈ空间，Ｓ、Ｔ为非线性算子。本文讨论了Ｒ（Ｓ＋Ｔ）与Ｒ（Ｓ）＋Ｒ（Ｔ）之间的关系，得到了使Ｓ，Ｔ在较弱的条件下有Ｒ（Ｓ＋Ｔ）＝Ｒ（Ｓ）Ｒ（Ｔ）及ｉｎｔＲ（Ｓ＋Ｔ）＝ｉｎｔ（Ｒ（Ｓ）＋Ｒ（Ｔ））成立的一个定理。
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| 关 键 词： | 增生算子 m-增生算子 一致凸 对偶映射 |
One Mapping Theorem for the Sumsof Two Nonlinear Operators |
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| Wang GuixiangZhang Qing.One Mapping Theorem for the Sumsof Two Nonlinear Operators[J].Journal of Agricultural University of Hebei,1999,22(1):96-98. |
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| Authors: | Wang GuixiangZhang Qing |
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| Abstract: | X is a real Banach space and S,T are two nonlinear operatorsThis paper considers the relations between R(S+T) and R(S)+R(T),and obtains a theorem so that R(S+T) =R(S) +R(T) and intR(S+T)=int (R(S)+R(T)) are held under the weaker conditions |
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| Keywords: | Accretive operator m-accretive operator Uniformly convex Duality mapping |
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