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Optimality conditions for bilevel optimization with variational inequality constraints using approximations
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Abstract
We use first- and second-order approximations to establish necessary and suffcient optimality conditions for nonsmooth generalized bilevel optimization problems with variational inequality constraints. To transform the hierarchical problem into a single-level optimization problem, we employ two approaches: the gap function reformulation and the KKT reformulation. We compare these approaches and provide examples to illustrate the applicability of the results.
Walter de Gruyter GmbH
Title: Optimality conditions for bilevel optimization with variational inequality constraints using approximations
Description:
Abstract
We use first- and second-order approximations to establish necessary and suffcient optimality conditions for nonsmooth generalized bilevel optimization problems with variational inequality constraints.
To transform the hierarchical problem into a single-level optimization problem, we employ two approaches: the gap function reformulation and the KKT reformulation.
We compare these approaches and provide examples to illustrate the applicability of the results.
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