Banach空间中度量投影算子的Frechet可微性
泛函分析
2024-01-04 v1
摘要
本文证明了在一致凸且一致光滑的Banach空间中，度量投影算子到闭球、闭凸柱面和正锥上的Frechet可微性。针对这些闭凸子集，我们找到了度量投影算子的Frechet导数和Gateaux方向导数的精确表达式。
引用
@article{arxiv.2401.01480,
title = {Frechet differentiability of the metric projection operator in Banach spaces},
author = {Jinlu Li},
journal= {arXiv preprint arXiv:2401.01480},
year = {2024}
}
备注
37 pages. arXiv admin note: substantial text overlap with arXiv:2312.14362