关于广义变分不等式与广义拟变分不等式
Generalized Variational Inequalities and Generalized Quasi-Variational Inequalities
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摘要: 本文在非常一般的框架下,建立了极大极小不等式,广义变分不等式和广义拟变分不等式,证明了解的存在定理,且它们是在非紧集上得到的,从而推广和改进了[3~13]中的相应结果.Abstract: Under much weaker hypotheses and in a more general setting some existence theorems of solutions to generalized variational inequalities, generalized quasi-varia-tional inequalities and minimax inequalities are established. The results presented in this paper generalize the corresponding results of[3-13]to the noncompact case, thus improving these results.
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