Epi/hypo-convergence is extended to the case of bifunctions defined on general domains. Its basic characterizations are established. Variational properties such as those about saddle points, weak saddle points, minsup-points, sup-projections, etc, of bifunctions are shown to be preserved for their epi/hypo-limits (possibly under some additional assumptions). Approximations of quasi-equilibrium problems together with their dual problems in terms of epi/hypo-convergence are considered. The obtained results are new, some are significantly different from the counterparts for the rectangular case and some improve known results, when applied to this special case.

中文翻译：

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一般域上双功能的Epi /半收敛和拟变分问题的逼近

Epi / hypo-convergence扩展到在通用域上定义的双功能的情况。建立了其基本特征。显示出双功能的鞍点，弱鞍点，最小点，超投影等变化特性被保留了其Epi / hypo-limits（可能在某些附加假设下）。考虑了准平衡问题的近似以及它们在epi /次收敛方面的双重问题。当应用于这种特殊情况时，所获得的结果是新的，有些与矩形情况下的结果有很大不同，并且有些改进了已知结果。