| 拓扑向量空间内一般强非线性变分不等式和隐补问题 |
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| 引用本文： | 丁协平.拓扑向量空间内一般强非线性变分不等式和隐补问题[J].四川师范大学学报(自然科学版),1994(1). |
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| 作者姓名： | 丁协平 |
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| 摘 要： | 本文在拓扑向量空间内研究了一类一般强非线性变分不等式和一般强非线性隐补问题．在相当弱的假设下，证明了这类变分不等式和补问题解的几个存在性定理．这些定理改进和推广了Ｉｓａｃ，Ｎａｎｄａ，Ａｌｌｅｎ，Ｋａｒａｍａｄｉａｎ，张石生等人的相应结果．
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| 关 键 词： | 拓扑向量空间，一般强非线性变分不等式，一般强非线性隐补问题 |
GENERAL STRONGLY NONLINEAR VARIATIONAL INEQUALITIES AND IMPLICIT COMPLEMENTARITY PROBLEMS IN TOPOLOGICAL VECTOR SPACES |
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| Ding Xieping.GENERAL STRONGLY NONLINEAR VARIATIONAL INEQUALITIES AND IMPLICIT COMPLEMENTARITY PROBLEMS IN TOPOLOGICAL VECTOR SPACES[J].Journal of Sichuan Normal University(Natural Science),1994(1). |
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| Authors: | Ding Xieping |
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| Institution: | Department of Mathematics |
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| Abstract: | In this paper,a class of general strongly nonlinear variational inequalities and general strongly nonlinear implicit complementarity problems is studied.We prove several existence theorems of solutions for the class of problems in topological vector spaces. Our thevorems improve and generalize the corresponding results of Isac,Nanda,Allen,Karemadian and Chang etc. |
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| Keywords: | general strongly nonlinear variational inequality general strongly nonlinear implicit complementarity problems topological vector space |
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