On Global Optimality Conditions via Separation Functions

A. M. Rubinov and A. Uderzo
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A. M. Rubinov: University of Ballarat
A. Uderzo: University of Trieste

Journal of Optimization Theory and Applications, 2001, vol. 109, issue 2, No 6, 345-370

Abstract: 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.

Keywords: separation functions; theorems of the alternative; abstract convexity; duality; side-constrained optimization; image space analysis (search for similar items in EconPapers)
Date: 2001
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Citations: View citations in EconPapers (7)

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DOI: 10.1023/A:1017566406216

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