摘要
考虑在扰动泛函F是光滑的情况下,利用Bregman距离建立了F-互补问题和广义的变分不等式的等价性,接着假设f是单调映射,给出了这个单调变分不等式的临近点算法,然后给出了算法的收敛性,最后在局部误差界成立的假设下,证明该算法是R-线性收敛的.
This paper uses the Bregman Function to establish the equivalence of the F-complementary problem and a generalized variational inequality when the disturbance function is smooth. Then, by assuming that f is monotone, a near point algorithm with convergence is discussed. Finally, with the establishment of the local error bound assumption, this paper proves that this algorithm is R-linearly convergence.
出处
《应用数学与计算数学学报》
2014年第3期275-280,共6页
Communication on Applied Mathematics and Computation
基金
国家自然科学基金资助项目(11101211)
