The paper examines some axiomatic definitions of separation functions that can be employed fruitfully in the analysis of side-constrained extremum problems. A study of their general properties points out connections with abstract convex analysis and recent generalizations of Lagrangian approaches to duality and exact penalty methods. Many concrete examples are brought out.
Rubinov, A., Uderzo, A. (2001). On Global Optimality Conditions via Separation Functions. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 109(2), 345-370 [10.1023/A:1017566406216].
On Global Optimality Conditions via Separation Functions
UDERZO, AMOS
2001
Abstract
The paper examines some axiomatic definitions of separation functions that can be employed fruitfully in the analysis of side-constrained extremum problems. A study of their general properties points out connections with abstract convex analysis and recent generalizations of Lagrangian approaches to duality and exact penalty methods. Many concrete examples are brought out.
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