The contribution of K.-H. Elster to generalized conjugation theory and nonconvex duality

Abstract

This article surveys the main contributions of K.-H. Elster to the theory of generalized conjugate functions and its applications to duality in nonconvex optimization.

Keywords:

• generalized conjugation
• nonconvex optimization
• duality theory
• generalized convexity
• optimality conditions
• fractional programming
• geometric vector inequality

AMS Subject Classifications:

• Primary: 90C26
• 49N15
• 52A01
• Secondary: 90C32
• 90C29
• 90A14

Notes

The author was supported by the MICINN of Spain [grant MTM2011-29064-C03-01], and under the Australian Research Council’s Discovery Projects funding scheme [project number DP140103213]. He is affiliated to MOVE (Markets, Organizations and Votes in Economics).