G-coupling functions and properties of strongly star-shaped cones
- Authors: Morales-Silva, Daniel
- Date: 2009
- Type: Text , Thesis , PhD
- Full Text:
- Description: The main part of this thesis presents a new approach to the topic of conjugation, with applications to various optimization problems. It does so by introducing (what we call) G-coupling functions.
- Description: Doctor of Philosophy
Conditions for global minimum through abstract convexity
- Authors: Sharikov, Evgenii
- Date: 2008
- Type: Text , Thesis , PhD
- Full Text:
- Description: The theory of abstract convexity generalizes ideas of convex analysis by using the notion of global supports and the global definition of subdifferential. In order to apply this theory to optimization, we need to extend subdifferential calculus and separation properties into the area of abstract convexity.
- Description: Doctor of Philosophy