四川师范大学学报（自然科学版）2002，Vol.25Issue(1)：1-6,6.
局部凸拓扑矢量空间内的广义拟变分不等式
Generalized Quasi-variational Inequalities in Locally Convex Topological Vector Spaces
摘要
Abstract
Let X be a paracompact convex subset of a locally convex space E, F:X→2X be a set-valued mapping and φ:X×X→R be a real function. We study the following abstract generalized quasi-variational inequality (AGQVI): finding ∈X such that ∈F() and φ(,y)0, y∈F(), where the φ(x,y) is 0-transfer compactly lower semicontinuous in x and 0-iagonally quasi-concave in y. Applying this result, we obtain some generalizations of many known results for generalized quasi-variational inequalities in recent literature. Keywords：Abstract generalized quasi-variational inequality; Locally convex space; 0-transfer compactly lower (upper) semicontinuous; 0-diagonally quasi-concave (quasiconvex)关键词
抽象广义拟变分不等式/局部凸空间/0-转移紧下(上)半连续/0-对角拟凹(拟凸)Key words
Abstract generalized quasi-variational inequality/Locally convex space/0-transfer compactly lower (upper) semicontinuous/0-diagonally quasi-concave (quasiconvex)分类
数理科学引用本文复制引用
丁协平,夏福全..局部凸拓扑矢量空间内的广义拟变分不等式[J].四川师范大学学报（自然科学版）,2002,25(1):1-6,6.基金项目
国家自然科学基金(19871059)和四川省教育厅重点研究基金资助项目 （19871059）
