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Zeitschrift für Analysis und ihre Anwendungen

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Volume 12, Issue 4, 1993, pp. 709–721
DOI: 10.4171/ZAA/535

Published online: 1993-12-31

Necessary Optimality Conditions for Non-Smooth Minimax Problems

D.V. Luu[1] and W. Oettli[2]

(1) Institute of Mathematics, Hanoi, Vietnam
(2) Universität Mannheim, Germany

Under a suitable assumption necessary optimality conditions are derived for non-smooth minimax problems involving infinitely many functions. The results obtained here generalize some necessary optimality conditions for mathematical programming and minimax problems.

Keywords: Clarke tangent cone, contingent cone, Rockefellar derivative, subgradient, non-smooth minimax problems

Luu D.V., Oettli W.: Necessary Optimality Conditions for Non-Smooth Minimax Problems. Z. Anal. Anwend. 12 (1993), 709-721. doi: 10.4171/ZAA/535