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中文摘要：
引入和研究了Hilbert空间中包含（H,η）-单调映像的一类新的广义非线性集值混合拟变分包含.使用（H,η）-单调映像的预解算子技巧,提出了一类新的扰动近似点迭代算法来逼近此类变分包含的解.进一步讨论了由此扰动迭代算法产生的迭代序列的收敛特征.这些结果延伸和推广了文献的许多结果.
英文摘要：
The purpose of this paper is to introduce and study a new class of generalized nonlinear set-valued mixed quasi-variational inclusions involving （H,η）-monotone mappings in Hilbert spaces. Using the resolvent operator technique for （H,η）-monotone mappings,we suggest a new perturbed proximal point iterative algorithm for approximating the solutions of this class of generalized nonlinear set-valued mixed quasi-variational inclusions. Furthermore,the convergence criteria of the iterative sequences generated by the perturbed iterative algorithm is discussed. The results obtained here extend and generalize many known results in the literature.
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