The auxiliary principle technique is extended to investigate a class of generalized set-valued strongly nonlinear variational-like inequalities.

本文延拓辅助原理的技巧，来研究一类广义集值强非线性混合似变分不等式。

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The auxiliary principle technique is extended to study a class of generalized strongly nonlinear mixed variational-like inequalities for set-valued mappings without compact values.

延拓辅助原理的技巧研究一类取非紧值的集值映象的广义强非线性混合似变分不等式。

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In the last section, we introduce and study a class of variational-like inequalities by applying the auxiliary principle technique.

第三部分，利用辅助原理研究了广义集值非线性混合似变分不等式的解的存在性，收敛性及算法的稳定性。

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