arXiv Open Access 2010

Scalar Representation and Conjugation of Set-Valued Functions

Carola Schrage

Lihat Sumber

Abstrak

To a function with values in the power set of a pre-ordered, separated locally convex space a family of scalarizations is given which completely characterizes the original function. A concept of a Legendre-Fenchel conjugate for set-valued functions is introduced and identified with the conjugates of the scalarizations. Using this conjugate, weak and strong duality results are proven.

Topik & Kata Kunci

math.OC

Penulis (1)

Carola Schrage

Format Sitasi

APA MLA BibTeX

Schrage, C. (2010). Scalar Representation and Conjugation of Set-Valued Functions. https://arxiv.org/abs/1011.5860

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2010
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓