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求解变分不等式的两种投影型算法(英文)

Two Projection Type Algorithms for Solving Variational Inequalities
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摘要 提出求解变分不等式的两种投影型算法,并证明了该算法对求解伪单调变分不等式为全局收敛的。 Two Projection type algorithms, different from the ones proposed by Solodov & Tseng (1996) and He (1997), for solving variational inequality problems are presented. It is shown that the algorithms are globally convergent for solving pseudo monotone variational inequalities and, in addition, they are convergent linearly under some mild conditions.
出处 《应用基础与工程科学学报》 EI CSCD 1999年第2期127-132,共6页 Journal of Basic Science and Engineering
关键词 变分不等式 伪单调性 强伪单调性 收敛性 variational inequality, pseudo monotonicity, strongly pseudo monotonicity, convergence
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参考文献2

  • 1Bingsheng He. A class of projection and contraction methods for monotone variational inequalities[J] 1997,Applied Mathematics & Optimization(1):69~76
  • 2Patrick T. Harker,Jong-Shi Pang. Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications[J] 1990,Mathematical Programming(1-3):161~220

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