| 广义变分不等式和补问题解的迭代法 |
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| 引用本文： | 丁协平.广义变分不等式和补问题解的迭代法[J].四川师范大学学报(自然科学版),1991(3). |
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| 作者姓名： | 丁协平 |
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| 作者单位： | 四川师范大学数学系 |
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| 摘 要： | 本文在 Hilbert 空间内研究了广义变分不等式和补问题解的存在性及其迭代方法.证明了 Mann型迭代序列收敛于这些问题的解.本文的定理从空间、映象类和迭代方法等几个方面改进和推广了Fang-Peterson 和 Siddiqi-Ansari 的主要结果.
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| 关 键 词： | Hilbert空间 锥 对偶锥 广义变分不等式 补问题 Mann迭代序列 φ-李卜西兹映象 ψ-强变调映象 |
ITERATIVE METHODS OF SOLUTIONS FOR GENERALIZED VARIATIONAL INEQUALITIES AND COMPLEMENTARITY PROBLEMS |
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| Ding Xieping.ITERATIVE METHODS OF SOLUTIONS FOR GENERALIZED VARIATIONAL INEQUALITIES AND COMPLEMENTARITY PROBLEMS[J].Journal of Sichuan Normal University(Natural Science),1991(3). |
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| Authors: | Ding Xieping |
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| Institution: | Ding Xieping Department of Mathematics |
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| Abstract: | We consider the existence and iterative methods of solutions for generalized variational inequalities and the Complemen- tarity problem in Hilbert spaces.We show that the Mann's Iteration processes converge to solutions of these probems.Our theo- rems improve and generalize the main results of Fang-Peterson and Siddiqi-Ansari in the following several aspects:spaces, classes of mappings and the iteration scheme. |
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