Publication Cover
Optimization
A Journal of Mathematical Programming and Operations Research
Volume 22, 1991 - Issue 6
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Original Articles

A necessary optimality condition for nondifferentiable constrained extremum problems

Pages 869-883 | Received 01 Jan 1990, Published online: 27 Jun 2007

References

  • Clarke , F.H. 1984 . Optimization and nonsmooth analysis , New York : J. Wiley .
  • Dem'Yanov , V.F. and Vasiliev , L.V. 1984 . Nondifferentiable optimization , New York : Optimization Software .
  • Giannessi , F. 1984 . Theorems of alternative and optimality conditions . JOTA , 42 ( 3 ) : 331 – 365 .
  • Giannessi , F. 1987 . “ Theorems of the alternative for multifunctions with applications to optimization Necessary conditions ” . In Optimization and Operations Res Group , Vol. 131 , Univ of Pisa . Res. Report
  • Giannessi , F. 1989 . Semidifferentiable functions and necessary optimality conditions . JOTA , 60 ( 2 ) : 191 – 241 .
  • Halkin , H. 1976 . Mathematical programming without differentiability in Calculus of Variations and Control Theory , Edited by: Russell , D.L. 279 – 288 . New York : Academic Press .
  • Hestenes , M.R. 1981 . “ Optimization theory ” . In The finite dimensional case , N.Y : Krieger .
  • Pappalardo , M. 1991 . Tangent cones and DIM derivatives . JOTA , 70 ( 1 ) Jul
  • Pourciau , B.H. 1977 . Analysis and optimization of Lipschitz continuous mappings . JOTA , 22 ( 1 ) Jul : 311 – 351 .
  • Rockafellar , R.T. 1970 . Convex analysis , Princeton Univ. Press .
  • Rockafellar , R.T. 1979 . Directional Lipschitzian functions and subdifferential calculus . Proc.London Math. Soc , 3 ( 39 ) : 331 – 355 .
  • Rockafellar , R.T. 1981 . “ The theory of subgradients and its applications to problems of optimization ” . In Convex and convex functions , Berlin : Heldermann Verlag .

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