| 自反Banach空间中的广义变分不等式 |
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| 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(5). |
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| 作者姓名： | 孙宗明 丁协平 |
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| 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) |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 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.
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| 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 |
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| Sun Zongming Ding Xieping.GENERALIZED VARIATIONAL INEQUALITIES IN REFLEXIVE BANACH SPACES[J].Journal of Sichuan Normal University(Natural Science),1993(5). |
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| Authors: | Sun Zongming Ding Xieping |
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| Institution: | Department of Mathematics |
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| 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. |
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| Keywords: | generalized(strongly)quasimonotone mapping upper(lower)semi-continuons along the line seqments generalized variational inequalities |
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