| 一致凸的L~p空间在不动点问题中的应用 |
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| 引用本文： | 秦斌.一致凸的L~p空间在不动点问题中的应用[J].价值工程,2011,30(21):296-297. |
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| 作者姓名： | 秦斌 |
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| 作者单位： | 岳阳职业技术学院,岳阳,414000 |
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| 摘 要： | 本文运用一致凸的Banach空间理论,讨论了Lp空间有界区域的极小半径问题和正交变换群作用的不动点问题,获得L(pΩ)空间的非空有界集一定存在唯一点x0∈Lp(Ω),使得f(x0)=x∈Lp(Ω)inf f(x),利用此结论还得到正交变换群作用在L(pB)空间上存在不动点。
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| 关 键 词： | 一致凸的Banach空间 Lp空间 不动点 |
The Application of Uniformly Convex Lp Space in Fixed Point Theory |
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| Qin Bin.The Application of Uniformly Convex Lp Space in Fixed Point Theory[J].Value Engineering,2011,30(21):296-297. |
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| Authors: | Qin Bin |
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| Institution: | Qin Bin(Yueyang Vocational Technical College,Yueyang 414000,China) |
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| Abstract: | In this paper,we discuss the problem of minimal radius in the non-empty bounded subset of Lp space and fixed point theory of orthogonal group.We show that there exists a unique point x0∈Lp（Ω）,making fx0=x∈Lp（Ω）inff（x）.By applying these result to orthogonal group,we obtain that orthogonal group action on Lp（B） admits a fixed point. |
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| Keywords: | Uniformly convex Banach space space fixed point |
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