Second-Order Optimality Conditions in Minimax Optimization Problems

Anulekha Dhara () and Aparna Mehra ()
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Anulekha Dhara: Indian Institute of Technology Gandhinagar
Aparna Mehra: Indian Institute of Technology Delhi

Journal of Optimization Theory and Applications, 2013, vol. 156, issue 3, No 3, 567-590

Abstract: Abstract The paper primarily is concerned with the second-order optimality conditions for minimax problems, where the constraints are described by a set inclusion and a finite number of equalities, and where all the functions involved are Fréchet differentiable with locally Lipschitz derivatives. We make use of the Mangasarian Fromovitz regularity conditions and of the second-order Abadie regularity conditions.

Keywords: Minimax problem; C(1; 1) function; Second-order optimality conditions; Regularity conditions (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-012-0097-3

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