模糊极大循环单调集与双势
Blurred maximal cyclically monotone sets and bipotentials
摘要：
设X是自反巴拿赫空间，Y是其对偶.本文给出了模糊极大循环单调图存在双位势的充要条件。等价地，我们找到了$ϕ\in Γ_{0}(X)$上的微分包含$y \in \bar{B}(ε) + \partial ϕ(x)$可以表示为$y \in \partial b(\cdot, y)(x)$的一个充要条件，其中$b$是一个双势函数.
英文摘要：
Let X be a reflexive Banach space and Y its dual. In this paper we find necessary and sufficient conditions for the existence of a bipotential for a blurred maximal cyclically monotone graph. Equivalently, we find a necessary and sufficient condition on $ϕ\in Γ_{0}(X)$ for that the differential inclusion $y \in \bar{B}(ε) + \partial ϕ(x)$ can be put in the form $y \in \partial b(\cdot, y)(x)$, with $b$ a bipotential.
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。
