| 无界集上Lipschitz单调映射方程的迭代解法 |
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| 引用本文： | 游兆永,刘昆昆.无界集上Lipschitz单调映射方程的迭代解法[J].西安交通大学学报,1989(1). |
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| 作者姓名： | 游兆永 刘昆昆 |
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| 作者单位： | 西安交通大学数学系，西安交通大学数学系 |
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| 摘 要： | 对于 Hilbert 空间中无界集上的 Lipsohitz 单调映射方程,本文构造了一类新的大范围收敛迭代方案,它不依赖于映射的 Lipschitz 常数,并能收敛于方程最靠近任一事先指定点的解,所得结果对于伪压缩映射和线性半正定映射有直接应用。
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| 关 键 词： | 单调算子 迭代法 凸集 |
ITERATIVE SOLUTION FOR EQUATIONS OF LIPSCHITZIAN MONOTONIC MAPPINGS ON UNBOUNDED SET |
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| You Zhaoyong Liu Kunkun.ITERATIVE SOLUTION FOR EQUATIONS OF LIPSCHITZIAN MONOTONIC MAPPINGS ON UNBOUNDED SET[J].Journal of Xi'an Jiaotong University,1989(1). |
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| Authors: | You Zhaoyong Liu Kunkun |
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| Institution: | Department of Mathematics |
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| Abstract: | A new class of globally convergent iterations is constructed for the equa- tions of Lipschitzian monotonic mappings on unbounded set in Hilbert space.The iterative processes don't depend upon the Lipschitzian constants of the mappings and converge to a solution which is the nearest to an arbitrarily appointed point in advance among the solutions of the equations.There results have direct ap- plications to pseudo-contractive mappings and linear semi-positive definite mappings. |
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| Keywords: | monotonic operator iterative method conrex sets |
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