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Optimization problems with value function objectives

Alain B. Zemkoho(zemkoho***at***daad-alumni.de)

Abstract: The family of optimization problems with value function objectives includes the minmax programming problem and the bilevel optimization problem. In this paper, we derive necessary optimality conditions for this class of problems. The main focus is on the case where the functions involved are nonsmooth and the constraints are the very general operator constraints.

Keywords: minmax programming, optimistic an pessimistic bilevel programming, value functions, variational analysis, optimality conditions

Category 1: Convex and Nonsmooth Optimization (Nonsmooth Optimization )

Category 2: Nonlinear Optimization

Category 3: Nonlinear Optimization (Constrained Nonlinear Optimization )

Citation: submitted

Download: [PDF]

Entry Submitted: 11/01/2011
Entry Accepted: 11/01/2011
Entry Last Modified: 11/01/2011

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