| Banach空间有限个极大单调算子公共零点的迭代注记 |
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| 引用本文： | 魏利,段丽凌.Banach空间有限个极大单调算子公共零点的迭代注记[J].数学的实践与认识,2007,37(20):136-140. |
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| 作者姓名： | 魏利 段丽凌 |
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| 作者单位： | 河北经贸大学,数学与统计学学院,河北,石家庄,050061 |
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| 摘 要： | 令E为实光滑、一致凸Banach空间,E*为其对偶空间.令AiE×E*,i=1,2,…,m,为极大单调算子且∩mi=1Ai-10≠φ.将给出一种计算量较小的新迭代算法,并利用Lyapunov泛函与广义投影算子等技巧,证明迭代序列弱收敛于A的公共零点,i=1,2,…,m.
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| 关 键 词： | Lyapunov泛函 极大单调算子 公共零点 |
| 修稿时间： | 2007年3月21日 |
Remark on the Iterative Approximation of Common Zero Points for Finite Maximal Monotone Operators |
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| WEI Li,DUAN Li-ling.Remark on the Iterative Approximation of Common Zero Points for Finite Maximal Monotone Operators[J].Mathematics in Practice and Theory,2007,37(20):136-140. |
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| Authors: | WEI Li DUAN Li-ling |
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| Abstract: | Let E be a real smooth and uniformly convex Banach space with E* its duality space.For i=1,2,…,m,let AiE×E* be maximal monotone operators with ∩mi=1A-1i0≠φ.A new simpler iterative scheme is introduced which is proved to be weakly convergent to common zero points of maximal monotone operators Ai,i=1,2,…,m,by using the techniques of Lyapunov functional and generalized projection operator,etc. |
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| Keywords: | Lyapunov functional maximal monotone operator common zero point |
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