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自反Banach空间中的广义变分不等式
引用本文:孙宗明,丁协平. 自反Banach空间中的广义变分不等式[J]. 四川师范大学学报(自然科学版), 1993, 0(5)
作者姓名:孙宗明  丁协平
作者单位:四川师范大学数学系(孙宗明),四川师范大学数学系(丁协平)
基金项目:国家自然科学基金资助项目
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.

关 键 词:广义(强)拟单调映象  半连续  广义变分不等式

GENERALIZED VARIATIONAL INEQUALITIES IN REFLEXIVE BANACH SPACES
Sun Zongming Ding Xieping. GENERALIZED VARIATIONAL INEQUALITIES IN REFLEXIVE BANACH SPACES[J]. Journal of Sichuan Normal University(Natural Science), 1993, 0(5)
Authors:Sun Zongming Ding Xieping
Affiliation:Department of Mathematics
Abstract: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.
Keywords:generalized(strongly)quasimonotone mapping  upper(lower)semi-continuons along the line seqments  generalized variational inequalities  
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