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On global optimality conditions via separation functions

By Alex Rubinov and A. Uderzo

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

Topics: 0802 Computation Theory and Mathematics, Optimality conditions, Separation functions
Publisher: Springer New York LLC
Year: 2001
DOI identifier: 10.1023/A:1017566406216
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