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一类广义非线性变分不等式组解的存在唯一性 被引量:2

The Existence and Uniqueness of Solution for a System of Generalized Nonlinear Variational Inequalities
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摘要 研究了Hilbert空间中的一类广义非线性变分不等式组,运用η 次微分算子的预解式技术和辅助原理技术,证明了广义非线性变分不等式组解的存在性和唯一性.推广和改善了已有结果. The author studied a new system of generalized nonlinear variational inequalities in Hilbert space. Using the resolvent operator technique of η-subdifferential operator and auxiliary principle, the existence and uniqueness theorem of solution for this kind of system of generalized nonlinear variational inequalities is got. The result improved the known results.
作者 代宏霞
出处 《四川大学学报(自然科学版)》 CAS CSCD 北大核心 2004年第1期1-4,共4页 Journal of Sichuan University(Natural Science Edition)
关键词 广义非线性变分不等式组 η-次微分算子 预解式技术 辅助原理技术 a system of generalized nonlinear variational inequalities η-subdifferential operator the resolvent technique auxiliary principle
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