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Existence and algorithm of solutions for generalized mixed implicit quasi-variational inequalities

机译：广义混合隐式拟变分不等式解的存在性和算法

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In this payer, by applying the auxiliary variational principle technique, some existence theorems of solutions for a class of generalized mixed implicit quasi-variational inequalities are proved in Hilbert spaces. A novel and innovative iterative algorithm to compute approximate solutions is suggested and analyzed. The convergence criteria are also given. As special cases of these results, the open problem put forward by Noor is answered positively and some results of existence and algorithm of solutions for generalized implicit quasi-complementarity problems are also obtained. Our results are new and generalize a number of known results of mixed variational inequalities, mixed quasi-variational inequalities and quasi-complementary problems involving single-valued and set-valued mappings in recent literatures. (C) 2000 Elsevier Science Inc. All rights reserved. [References: 24]
机译：在该支付者中，通过应用辅助变分原理技术，在希尔伯特空间中证明了一类广义混合隐式拟变分不等式解的一些存在性定理。提出并分析了一种新颖和创新的迭代算法来计算近似解。还给出了收敛标准。作为这些结果的特例，诺尔提出的开放问题得到了肯定的答案，并且获得了一些广义隐式拟互补问题的存在性和求解算法。我们的结果是新的，并概括了许多已知的混合变量不等式，混合拟变分不等式和涉及单值和集值映射的拟互补问题的已知结果。 （C）2000 Elsevier Science Inc.保留所有权利。 [参考：24]

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