重庆理工大学学报：自然科学
重慶理工大學學報：自然科學
중경리공대학학보：자연과학
Journal of Chongqing Institute of Technology
2012年
11期
115-122
,共8页
广义拟似变分不等式%本质连通区%usco映射%解集稳定性
廣義擬似變分不等式%本質連通區%usco映射%解集穩定性
엄의의사변분불등식%본질련통구%usco영사%해집은정성
generalized vector quasi-variational-like inequalities%essential connected components%usco mapping%the stability of solution sets
利用广义拟似变分不等式解集的存在性定理,构造了一个满足广义拟似变分不等式问题存在性定理的函数空间M,证明了函数空间M的完备性,并讨论了在M中该问题解集的稳定性,得到了M映射到解集的映射是usco映射的结论。引入解集本质连通区的概念,并证明每一个广义拟似变分不等式的解集至少存在一个本质连通区。研究了解集本质连通区的稳定性。
利用廣義擬似變分不等式解集的存在性定理,構造瞭一箇滿足廣義擬似變分不等式問題存在性定理的函數空間M,證明瞭函數空間M的完備性,併討論瞭在M中該問題解集的穩定性,得到瞭M映射到解集的映射是usco映射的結論。引入解集本質連通區的概唸,併證明每一箇廣義擬似變分不等式的解集至少存在一箇本質連通區。研究瞭解集本質連通區的穩定性。
이용엄의의사변분불등식해집적존재성정리,구조료일개만족엄의의사변분불등식문제존재성정리적함수공간M,증명료함수공간M적완비성,병토론료재M중해문제해집적은정성,득도료M영사도해집적영사시usco영사적결론。인입해집본질련통구적개념,병증명매일개엄의의사변분불등식적해집지소존재일개본질련통구。연구료해집본질련통구적은정성。
This paper applies the existence theorem of the solution for generalized vector quasi-variational-like inequalities(GVQVLI) to construct a functional space M satisfying the existence theorem,proves the completeness of functional space M,and also discusses the stability of the solution sets for generalized vector quasi-variational-like inequalities,and obtains an important conclusion that the mapping which maps the M to the solution sets is usco.Then,this paper introduces the notion of essential connected components for the solution sets and proves that every solution set for generalized vector quasi-variational-like inequalities has at least one essential connected components.Finally,we study the stability of essential connected components for the solution sets.
