LIÊN KẾT WEBSITE
Quasi-relative interiors for graphs of convex set-valued mappings
Optimization Letters Số 3, năm 2021 (Tập 15, trang 933-952)
ISSN: 18624472
ISSN: 18624472
DOI: 10.1007/s11590-019-01447-4
Tài liệu thuộc danh mục:
Article
English
Từ khóa: Mapping; Topology; Vector spaces; Convex set; Convex topological vector spaces; Finite dimensional space; Infinite dimensions; Quasi-regularity; Quasi-relative interior; Real-valued functions; Set-valued mapping; Set theory
Tóm tắt tiếng anh
This paper aims at providing further studies of the notion of quasi-relative interior for convex sets. We obtain new formulas for representing quasi-relative interiors of convex graphs of set-valued mappings and for convex epigraphs of extended-real-valued functions defined on locally convex topological vector spaces. We also show that the role, which this notion plays in infinite dimensions and the results obtained in this vein, are similar to those involving relative interior in finite-dimensional spaces. � 2019, Springer-Verlag GmbH Germany, part of Springer Nature.
