In this paper, fixed point arguments and a critical point technique are combined leading to hybrid existence results for a system of two operator equations where only one of the equations has a variational structure. An application to periodic solutions of a semi-variational system is given to illustrate the theory.

中文翻译：

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不动点-临界点混合定理及其在偏变分结构系统中的应用

在本文中，不动点参数和临界点技术相结合，导致两个算子方程系统的混合存在结果，其中只有一个方程具有变分结构。给出了对半变分系统的周期解的应用来说明该理论。