Second-Order Optimality Conditions in Minimax Optimization Problems |
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| Authors: | Anulekha Dhara Aparna Mehra |
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| Institution: | 1. Department of Mathematics, Indian Institute of Technology Gandhinagar, Chandkheda, Ahmedabad, 382424, India
2. Department of Mathematics, Indian Institute of Technology Delhi, Hauz Khas, New Delhi, 110016, India
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| 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. |
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