有限连续拓扑空间上的相交定理和广义变分不等式  

Intersection Theorems and Generalized Variational Inequalities on Finite Continuous Topological Spaces

作　　者：朴勇杰[1] 金光植[1] 

机构地区：[1]延边大学理学院数学系,吉林延吉133002

出　　处：《数学的实践与认识》2010年第3期161-167,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金(10361005);延边大学科研项目([2004]8号)

摘　　要：根据已知的FC-空间上的KKM型定理得出若干个相交定理,作为它们的应用,利用转移开闭映射的特征讨论广义变分不等式解的存在问题.本文的结果改进和推广了文献中的相应结论.Some intersection theorems were obtained by using the well known KKM type theorem on FC-spaces, and existence problem of solution for generalized variational inequalities were discussed by using property of transfer open-clsoed valued mapping as applications of intersection theorems. These results generalize and improve some known results in recent literature.

关 键 词：FC-空间 FC-子空间 转移开[闭]映射 上半连续的 KKM映射 变分不等式 

分 类 号：O189.11[理学—数学]