开性稳定性与隐多函数定理。变分系统的应用
Openness Stability and Implicit Multifunction Theorems. Applications to Variational Systems
摘要：
在本文中，我们的目的是提出两个一般性的结果，一方面，集值映射的开放稳定性，另一方面，度量正则性行为的隐式多功能相关的广义变分系统。然后，这些结果被应用，以获得，在一个自然的方式，并在广泛研究的情况下，度量正则模的字段映射定义的变分系统和解决方案映射之间的关系。我们的方法使我们能够完成和扩展文献中的几个最近的结果。
英文摘要：
In this paper we aim to present two general results regarding, on one hand, the openness stability of set-valued maps and, on the other hand, the metric regularity behavior of the implicit multifunction related to a generalized variational system. Then, these results are applied in order to obtain, in a natural way, and in a widely studied case, several relations between the metric regularity moduli of the field maps defining the variational system and the solution map. Our approach allows us to complete and extend several very recent results in literature.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
