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Invexity as necessary optimality condition in nonsmooth programs

이규명|김도상|Pham Huu Sach
대한수학회 (The Korean Mathematical Society)|2006.03|대한수학회지 (Journal of the KMS)|제43권 제2호|pp. 241-258

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Abstract

This paper gives conditions under which necessary optimality conditions in a locally Lipschitz program can be expressed as the invexity of the active constraint functions or the type I invexity of the objective function and the constraint functions on the feasible set of the program. The results are nonsmooth extensions of those of Hanson and Mond obtained earlier in differentiable case.

참고문헌 (8)

  1. "\ref\key 4 \by M. A. Hanson \paper On sufficiency of theKuhn-Tucker conditions \jour J. Math. Anal. Appl. \vol 80 \yr 1981\pages no. 2", pp.545~ (1981)
  2. "paper Invexity and the Kuhn-Tucker theorem", pp.595~ (1999)
  3. "\ref \key 6 \by M. A. Hanson and B. Mond \paper Necessary andsufficient conditions in constrained optimization \jour Math.Programming \vol 37 \yr 1987 \pages no. 1", pp.51~ (1987)
  4. "\ref \key 8 \by D. H. Martin \paper The essence of invexity \jourJ. Optim. Theory Appl. \vol 47 \yr 1985 \pages no. 1", pp.65~ (1985)
  5. "(Ser. A" (1990)
  6. "paper Invex functions and generalized convexity in multiobjective programming", and p.ruiz-canales \paper invex functions and generalized convexity inmultiobjective programming \jour j. optim. theory appl. \vol 98\yr 1998 \pages no. 3, pp.651~ (1998)
  7. "paper Infine functions, nonsmooth alternative theorems and vector optimization problems", pp.51~ (2003)
  8. "paper Efficiency and generalised convexity in vector optimization problems" (2004)

관련 논문AI추천

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