【摘要】 <正> 最近,有限维的非线性变分不等式和互补问题的研究有了较快的发展,具体可见Harker和Pang的综述性文献。但是,在没有(强)单调性及可微性的条件下,却没有一个实用的算法。本文的主要兴趣是研究一种迭代算法—外梯度,在连续性和伪单调性条件下,证明了算法的全局收敛性(定理3.1)。更多还原

【Abstract】 In absense of (strong) monotonicity, basing on the concepts of extragradient and inexact line searches, we give a global convergent method for solving variational inequality problems and complementarity problems when the mapping F is pseudomonotone. Throughout this paper, we only assume that the mapping F is of contunuity.更多还原