| Banach空间中一类非线性算子方程解的存在性 |
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| 引用本文： | 伊宏伟.Banach空间中一类非线性算子方程解的存在性[J].沈阳师范大学学报(自然科学版),2007,25(2):156-157. |
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| 作者姓名： | 伊宏伟 |
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| 作者单位： | 铁岭师范高等专科学校,理工系,辽宁,铁岭,112001 |
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| 摘 要： | 证明了Banach空间X中闭凸集D上的弱内向、非扩展映射T的平移不变性,并证明了当(I-T)(D)为闭集时T有不动点,进而针对李普希兹映射T给出了Tx=λx型方程解的存在性定理.这些结论推广并改进了某些重要结论.
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| 关 键 词： | 弱内向映射 李普希兹映射 不动点 方程解 |
| 文章编号： | 1673-5862(2007)02-0156-02 |
| 修稿时间： | 2006-10-12 |
Existence of the Solution for a Class of Nonlinear Operator Eqations in Banach |
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| YI Hong-wei.Existence of the Solution for a Class of Nonlinear Operator Eqations in Banach[J].Journal of Shenyang Normal University: Nat Sci Ed,2007,25(2):156-157. |
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| Authors: | YI Hong-wei |
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| Institution: | Deptartment of Science and Technology, Tieling Teachers College, Tieling 112001, China |
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| Abstract: | This paper first proves the translation invarint property of weakly inward and nonexpensive on closed convex set in Banach space. Then, the fixed point theorem for T is established. At the same time, the existence theorem of the solution for equation Tx = Ax is obtained where T is Lipschitz map. Some of the results generalize and improve some important arguments in 3] and 4]. |
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| Keywords: | weakly inward maps Lipschitz maps fixed point solution of equation |
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