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Lagrangian conditions for a nonsmooth vector-valued minimax

  • B. D. Craven (a1) and D. V. Luu (a2)
Abstract

Lagrangian necessary and sufficient conditions for a nonsmooth vector-valued minimax in terms of Clarke's generalized Jacobians are established under suitable invexity hypotheses.

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References
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[10]Craven, B. D. and Luu, D. V., ‘An approach to optimality conditions for nonsmooth minimax problems’, University of Melbourne, Department of Mathematics, Preprint Series No. 8 (1993).
[11]Craven, B. D. and Luu, D. V., ‘Constrained minimax for a vector-valued function’, Optimization 31 (1994), 199208.
[12]Jeyakumar, V., ‘Convexlike alternative theorem and mathematical programming’, Optimization 16 (1985), 643652.
[13]Mordukhovich, B., ‘Stability theory for parametric generalized equations and variational inequalities via nonsmooth analysis’, Trans. Amer. Math. Soc. 343 (1994), 609657.
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Journal of the Australian Mathematical Society
  • ISSN: 1446-7887
  • EISSN: 1446-8107
  • URL: /core/journals/journal-of-the-australian-mathematical-society
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