| 自反Banach空间内的一般非线性变分不等式 |
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| 引用本文： | 丁协平.自反Banach空间内的一般非线性变分不等式[J].四川师范大学学报(自然科学版),1998,21(2):125-131. |
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| 作者姓名： | 丁协平 |
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| 作者单位： | 四川师范大学数学系 |
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| 摘 要： | 在自反Ｂａｎａｃｈ空间内研究了一类一般非线性变分不等式．它包含了经典变分不等式及其各类推广作为特例．由应用极小极大不等式和辅助原理技巧，一般非线性变分不等式解的某些存在唯一性定理在自反Ｂａｎａｃｈ空间内被证明．
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| 关 键 词： | 一般非线性变分不等式 隐补问题 极小极大不等式 自反Banach空间 |
ON GENERAL NONLINEAR VARIATIONAL INEQUALITIES IN REFLEXIVE BANACH SPACES * |
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| Ding Xieping.ON GENERAL NONLINEAR VARIATIONAL INEQUALITIES IN REFLEXIVE BANACH SPACES *[J].Journal of Sichuan Normal University(Natural Science),1998,21(2):125-131. |
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| Authors: | Ding Xieping |
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| Abstract: | This paper studies a class of general nonlinear variational inequalities under reflexive Banach space setting which includes the classical variational inequalities and its various generalizations as special cases. By applying a minimax inequality and the auxiliary principle, some existence uniqueness theorems for solutions to the general nonlinear variational inequalities are proved under the setting of reflexive Banach spaces. |
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| Keywords: | General nonlinear variational inequality Implicit complementarity problem Minimax inequality Reflexive Bancah space |
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