Optimality Conditions in Discrete-Continuous Nonlinear Optimization

Eichfelder G, Jahn J (2021)

Publication Type: Journal article

Publication year: 2021

Journal

Minimax Theory and its Applications Heldermann Verlag

Book Volume: 6

Pages Range: 127-144

Journal Issue: 1

Abstract

We present necessary and sufficient optimality conditions for discrete-continuous nonlinear optimization problems including mixed-integer nonlinear problems. This theory does not utilize an extension of the Lagrange theory of continuous optimization but it works with certain max functionals for a separation of two sets where one of them is nonconvex. These functionals have the advantage that they can be used for nonconvex optimization problems. This theory avoids getting several Lagrange multipliers per constraint.

Authors with CRIS profile

Johannes Jahn Naturwissenschaftliche Fakultät

Involved external institutions

Technische Universität Ilmenau DE Germany (DE)

How to cite

APA:

Eichfelder, G., & Jahn, J. (2021). Optimality Conditions in Discrete-Continuous Nonlinear Optimization. Minimax Theory and its Applications, 6(1), 127-144.

MLA:

Eichfelder, Gabriele, and Johannes Jahn. "Optimality Conditions in Discrete-Continuous Nonlinear Optimization." Minimax Theory and its Applications 6.1 (2021): 127-144.

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