伪单调型向量F-互补问题可行集的最小元问题

方亚平;黄南京

数学学报 ›› 2005, Vol. 48 ›› Issue (3) : 499-508.

PDF(446 KB)
PDF(446 KB)
数学学报 ›› 2005, Vol. 48 ›› Issue (3) : 499-508. DOI: 10.12386/A2005sxxb0060
论文

伪单调型向量F-互补问题可行集的最小元问题

    方亚平;黄南京
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Least Element Problems of Feasible Sets for Vector F-Complementarity Problems with Pseudomonotonicity

    Ya Ping FANG, Nan JIng HUANG
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摘要

本文引入了几类向量F-互补问题并给出了向量F-互补问题与广义向量变分不等式之间的关系.通过定义向量F-互补问题的可行集,研究了伪单调型向量F-互补问题的可行集的最小问题,推广了已有的一些结果.

Abstract

In this paper, we introduce several classes of vector F-complementarity problems and give relations between vector F-complementarity problems and general vector variational inequality problems. By defining the feasible sets for vector F-complementarity problems, we study the least element problems of feasible sets for vector F-complementarity problems under pseudomonotonicity assumption. The present results extend and improve the corresponding results in the literature.

关键词

广义向量变分不等式 / 伪单调性 / 向量F-互补问题

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方亚平;黄南京. 伪单调型向量F-互补问题可行集的最小元问题. 数学学报, 2005, 48(3): 499-508 https://doi.org/10.12386/A2005sxxb0060
Ya Ping FANG, Nan JIng HUANG. Least Element Problems of Feasible Sets for Vector F-Complementarity Problems with Pseudomonotonicity. Acta Mathematica Sinica, Chinese Series, 2005, 48(3): 499-508 https://doi.org/10.12386/A2005sxxb0060
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