摘要
本文引入了集值广义(强)拟单调映象的概念.证明了自反Banach空间中闭凸集上集值广义(强)拟单调映象的广义变分不等式解的存在性定理,改进了Browder,Hartman-Stampacchia,shih-Tan,Tan-Yuan等人的相应结果.
In this paper,we introduce the concepts of set-valued generalized quasimonotone and set-valued generalizedstrong quasimonotone mappings.Several existence theorems of solutions for these mappings are proved in reflexiveBanach spaces.These theorems improve and generalize some corresponding results of Browder,Hartman-Stam-pacehia,Shih-Tan,Tan-Yuan and others.
出处
《四川师范大学学报（自然科学版）》
CAS
CSCD
1993年第5期1-6,24,共7页
Journal of Sichuan Normal University（Natural Science）
基金
国家自然科学基金资助项目
关键词
广义(强)拟单调映象
半连续
广义变分不等式
generalized(strongly)quasimonotone mapping
upper(lower)semi-continuons along the line seqments
generalized variational inequalities
