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Existence result and error bounds for a new class of inverse mixed quasi-variational inequalities

机译:一类新的混合逆拟变分不等式的存在结果和误差界

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摘要

In this paper, a new class of inverse mixed quasi-variational inequalities (IMQVI) is introduced and studied in Hilbert spaces. This type of inequalities includes many quasi-variational inequalities and inverse variational inequalities as its special cases. We first prove some properties of generalized f-projection operators in Hilbert spaces. Then we use these properties to obtain the existence and uniqueness result. Moreover, error bounds for IMQVI in terms of the residual function are also established. The results presented in this paper are new and improve some results in the recent literature.
机译:本文在希尔伯特空间中引入了一类新的逆混合拟变分不等式(IMQVI)。这种不等式包括许多拟变分不等式和逆变分不等式作为特例。我们首先证明希尔伯特空间中广义f投影算子的一些性质。然后,我们使用这些属性获得存在性和唯一性结果。此外,还建立了基于残差函数的IMQVI的误差范围。本文提出的结果是新的,并且在最近的文献中改进了一些结果。

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