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一类新广义非线性似变分不等式组解的迭代算法 被引量：2

Iterative Algorithm for a New System of Generalized Nonlinear Variational-Like Inequalities
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摘要 在Hilbert空间中引进一类新的广义非线性似变分不等式组问题,利用豫解算子技巧,构造了一个新的迭代算法,并证明了此迭代算法的收敛性。同时证明了它产生的变分不等式组解的存在性与唯一性。所得结果推广和统一了一些近期相关结果。 A new system of generalized nonlinear like-variational inequalities are introduced and studied in Hilbert spaces.By using resolvent operator technique,it presents a new iterative algorithm and proves the convergence.At the same time,it proves uniqueness of solution for this system of variational inequalities.The results are new,which unify and extend the previously known results in the literature.
作者 曹寒问
机构地区 南昌工程学院理学系
出处 《南昌大学学报（理科版）》 CAS 北大核心 2010年第3期221-226,共6页 Journal of Nanchang University(Natural Science)
基金 江西省教育厅青年科学基金项目(GJJ10269)
关键词 广义非线性似变分不等式组 Η-次微分 迭代算法 收敛性 generalized nonlinear variational-like inequalities η-subdifferential iterative algorithm convergence
分类号 O177.91 [理学—基础数学]
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参考文献9

  • 1Verma R U. Projection Methods, Algorithms and a New System of Nonlinear Variational Inequalities [ J ]. Computers and Mathematics with Applications,2001,42 : 1 025 - 1 031.
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  • 9曹寒问,饶三平,陈嫄.自反Banach空间中一类广义集值强非线性变分不等式问题[J].南昌大学学报（理科版）,2008,32(4):335-338. 被引量：3

二级参考文献8

  • 1Cho Y J, Fang Y P, Huang N J, Kim K H. Generalized Set -valued Strongly Nonlinear Variational Inequalities in Banach Spaces[ J ]. Korean Math Soc, 2003 (40) : 195 - 205.
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  • 7丁协平.自反Banach空间内混合非线性似变分不等式解的算法[J].应用数学和力学,1998,19(6):489-496. 被引量：18
  • 8刘理蔚.关于多值增生和多值单调映射的连续性[J].南昌大学学报（理科版）,2004,28(1):17-18. 被引量：3

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南昌大学学报（理科版）
2010年 第3期

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