87. Nonlinear Separation of Coradiant Sets: Optimality Conditions for Approximate Solutions
Invited abstract in session WB-9: Variational Analysis III, stream Variational analysis: theory and algorithms.
Wednesday, 10:30-12:30Room: B100/8013
Authors (first author is the speaker)
| 1. | Miguel Angel Melguizo Padial
|
| Mathematics, University of Alicante | |
| 2. | Fernando García Castaño
|
| Mathematics, University of Alicante |
Abstract
This talk investigates ε-efficiency and proper ε-efficiency in vector optimization via coradiant sets. We present a novel nonlinear separation theorem for coradiant sets in normed spaces, without convexity assumptions. Using this, we derive scalarization results that yield necessary and sufficient conditions for both ε-efficiency and proper ε-efficiency.
Keywords
- Linear and nonlinear optimization
- Non-smooth optimization
- Conic and semidefinite optimization
Status: accepted
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