关于希尔伯特空间中正锥投影算子的余导数
On the Coderivative of the Projection Operator onto the Positive Cone in Hilbert spaces
AI总结：
本文研究希尔伯特空间正锥度量投影算子的广义可微性，建立了欧氏空间中该算子的正则余导数与Mordukhovich余导数的精确公式，并将结果推广到实希尔伯特空间$l_2$。
摘要：
本文研究希尔伯特空间中正锥上度量投影算子的广义可微性。首先，我们建立了欧几里得空间中正锥上度量投影算子的正则余导数与Mordukhovich余导数的精确计算公式。随后，我们将这些结果推广到实希尔伯特空间$l_2$中的正锥投影算子上。
英文摘要：
In this paper, we study the generalized differentiability of the metric projection operator onto the positive cone in Hilbert spaces. We first establish the formula for exactly computing the regular coderivative and the Mordukhovich coderivative of the metric projection operator onto the positive cone in Euclidean spaces. Then, these results are also established for the projection operator onto the positive cone in the real Hilbert space $l_2$.
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。
