中文摘要：

【目的】在拟度量空间中建立一种新类型的集值Ekeland变分原理。【方法】利用非线性标量化函数和Q-函数等工具对拟度量空间中的数值Ekeland变分原理和Ha型集值Ekeland变分原理进行进一步推广。【结果】在拟度量空间中建立集值映射的Ekeland变分原理。【结论】新的Ekeland变分原理包含一些经典的Ekeland变分原理作为特例,对拟度量空间中的数值Ekeland变分原理和Ha型集值Ekeland变分原理进行推广。

英文摘要：

[Purposes]A new type of set-valued Ekeland＇s variation principle is introduced in quasi-metric spaces.[Methods]Generalize the scalar Ekeland＇s variation principle in quasi-metric spaces and Ha＇s version of set-valued Ekeland＇s variation principle by using some tools including as nonlinear scalarization function and Q-functions.[Findings]Establish the Ekeland＇s variational principle via Q-functions with set-valued maps in quasi-metric spaces.[Conclusions]New Ekeland＇s variation principle includes some classical Ekeland＇s variation principles as its special cases.