Vector variational principle

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• 作者：Ewa M. Bednarczuk and Dariusz Zagrodny
• 关键词：Vector variational principle ; Countably orderable sets ; N¨¦meth approximate solutions ; Ekeland’ ; s variational principle
• 刊名：Archiv der Mathematik
• 出版年：2009
• 出版时间：December, 2009
• 年：2009
• 卷：93
• 期：6
• 页码：577-586
• 全文大小：173.9 KB

文摘

We prove an Ekeland’s type vector variational principle for monotonically semicontinuous mappings with perturbations given by a convex bounded subset of directions multiplied by the distance function. This generalizes the existing results where directions of perturbations are singletons.