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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.
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참고문헌 (8)
참고문헌 신청
/ 1981 / \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 : 545 ~
/ 1985 / \ref \key 8 \by D. H. Martin \paper The essence of invexity \jourJ. Optim. Theory Appl. \vol 47 \yr 1985 \pages no. 1 : 65 ~
/ 1987 / \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 :
/ 1990 / (Ser. A
/ 1998 / paper Invex functions and generalized convexity in multiobjective programming and p.ruiz-canales \paper invex functions and generalized convexity inmultiobjective pr
/ 1985 / \ref \key 8 \by D. H. Martin \paper The essence of invexity \jourJ. Optim. Theory Appl. \vol 47 \yr 1985 \pages no. 1 : 65 ~
/ 1987 / \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 :
/ 1990 / (Ser. A
/ 1998 / paper Invex functions and generalized convexity in multiobjective programming and p.ruiz-canales \paper invex functions and generalized convexity inmultiobjective pr
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