Abstract
Some new results which generalize the Hahn-Banach theorem from scalar or vector-valued case to set-valued case are obtained. The existence of the Borwein-strong subgradient and Yang-weak subgradient for set-valued maps are also proven. We present a new Lagrange multiplier theorem and a new Sandwich theorem for set-valued maps.
Original language | English |
---|---|
Pages (from-to) | 281-297 |
Number of pages | 17 |
Journal | Mathematical Methods of Operations Research |
Volume | 61 |
Issue number | 2 |
DOIs | |
Publication status | Published - 1 Jun 2005 |
Keywords
- Hahn-Banach theorem
- Lagrange multiplier theorem
- Sandwich theorem
- Set-Valued map
- Subgradient
ASJC Scopus subject areas
- Software
- Mathematics(all)
- Management Science and Operations Research