| Lp[I,E]空间中一类增算子不动点的存在性定理 |
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| 引用本文： | 刘鸣放,李俊强.Lp[I,E]空间中一类增算子不动点的存在性定理[J].西南民族学院学报(自然科学版),2007,33(3):460-463. |
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| 作者姓名： | 刘鸣放 李俊强 |
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| 作者单位： | 河南大学数学系，郑州大学数学系 河南开封，475000，河南郑州，450052 |
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| 基金项目： | 国家自然科学基金资助项目（10471133和10590353）. |
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| 摘 要： | 利用锥理论与单调迭代技巧,在空间LpI,E]中得到了一些新的增算子不动点的存在性定理.所得结果改进和推广了增算子的某些已知相应结果.
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| 关 键 词： | 锥与半序 增算子 不动点 迭代解法 |
| 文章编号： | 1003-2843（2007）03-0460-04 |
| 修稿时间： | 2007-01-14 |
The existence of solutions of Fixed Point of some increasing operators in Lp[I,E] space |
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| LIU Ming-fang,LI Jun-qiang.The existence of solutions of Fixed Point of some increasing operators in Lp[I,E] space[J].Journal of Southwest Nationalities College(Natural Science Edition),2007,33(3):460-463. |
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| Authors: | LIU Ming-fang LI Jun-qiang |
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| Institution: | 1, Department of Mathematics, Henan University, Kaifeng, 475000, P. R, C, ; 2, Department of Mathematics, Zhengzhou University, Zhengzhou, 450052, P, R, C, |
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| Abstract: | By using the cone theory and the monotone succession skills, some theorems of fixed point for increasing operators in LpI,E] are obtained. The results presented here improve and generalize some corresponding results for increasing operator. |
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| Keywords: | cone and partial ordering increasing operator fixed point iterative solution |
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