24
Views
13
CrossRef citations to date
0
Altmetric
Original Articles

Generalized invexity and duality theories with multifunctions

, &
Pages 131-153 | Received 16 Jul 1993, Published online: 15 May 2007

References

  • Aubin , J.P. and Ekeland , I. 1984 . Applied Nonlinear Analysis , New York : Wiley .
  • Ben-Israel , A. and Mond , B. 1986 . What is invexity . J. Austral. Math. Soc., Ser. B , 28 : 1 – 9 .
  • Clarke , F.H. 1983 . Optimization and Nonsmooth Analysis , New York : Wiley .
  • Corley , H.W. 1988 . Optimality conditions for maximization of set-valued functions . J. Optim. Theor. Appl , 58 : 1 – 10 .
  • Craven , B.D. , Sach , P.H. , Yen , N.D. and Phuong , T.D. 1991 . A new class of invex multi-functions . Proceedings of the School “Nonsmooth Optimization:Numerical Methods and Applications,“ . 1991 , Disa. pp. 52 – 69 .
  • Dien , P.H. and Yen , N.D. 1985 . A remark on Clarke's tangent cone . Acta Math. Vietnamica , 10 : 144 – 147 .
  • Hanson , M.A. 1981 . On sufficiency of the Kuhn-Tucker conditions . J. Math. Anal. Appl. , 80 : 545 – 550 .
  • Kaul , R.N. and Kaur , S. 1985 . Optimality criteria in nonlinear programming involving non-convex functions . J. Math. Anal. Appl. , 105 : 104 – 112 .
  • Mangasarian , O.L. 1969 . Nonlinear Programming , New York : McGraw-Hill .
  • Mond , B. and Weir , T. 1981 . “ Generalized concavity in optimization and economics ” . In Generalized concavity and duality , Edited by: Schaible , S. and Ziemba , W.T. 263 – 279 . New York : Academic Press .
  • Reiland , T.W. 1990 . Nonsmooth invexity . Bull. Austral. Math. Soc. , 42 : 437 – 446 .
  • Sach , P.H. and Craven , B.D. 1991 . Invexity in multifunction optimization . Numer. Fund. Anal. Optim. , 12 : 383 – 394 .
  • Sach , P.H. and Craven , B.D. 1991 . Invex multifunctions and duality . Numer. Fund. Anal. Optim. , 12 : 575 – 591 .
  • Weir , T. and Mond , B. 1989 . Generalized convexity and duality in multiple objective programming . Bull. Austral. Math. Soc. , 39 : 287 – 299 .
  • Wolfe , P. 1961 . A duality theorem for nonlinear programming . Quart. Appl. Math. , 19 : 239 – 244 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.