| 伪单调变分不等式近似点算法的收敛性 |
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| 引用本文： | 常菲. 伪单调变分不等式近似点算法的收敛性[J]. 四川师范大学学报(自然科学版), 2012, 35(4): 439-442 |
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| 作者姓名： | 常菲 |
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| 作者单位： | 四川师范大学数学与软件科学学院,四川成都,610066 |
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| 摘 要： | 将近似点算法推广到具有伪单调映射的变分不等式.经典的近似点算法的子问题利用范数平方作为辅助函数.将一个可微强凸的函数作为辅助函数,在有限维空间和Hilbert空间上讨论伪单调算子近似点算法的收敛性.
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| 关 键 词： | 变分不等式 伪单调 近似点收敛算法 |
Pseudomonotone Variational Inequalities: Convergence of Proximal Point Algorithm |
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| CHANG Fei. Pseudomonotone Variational Inequalities: Convergence of Proximal Point Algorithm[J]. Journal of Sichuan Normal University(Natural Science), 2012, 35(4): 439-442 |
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| Authors: | CHANG Fei |
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| Affiliation: | CHANG Fei(College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,Sichuan) |
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| Abstract: | In this paper,we study the convergence of proximal point algorithm(PPA) for solving pseudomonotone(in the sense of Karamardian) variational inequalities.The subproblems of classical PPA use the square of norm to be the auxiliary function.We add a differetialble and strongly convex function to substitute for the square norm,then we study the general convergence of the algorithm based on pseudomonotonicity of the operator in a finite-dimensional and Hilbert space. |
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| Keywords: | variational inequalities pseudomonotonicity convergence of proximal point algorithms |
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