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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 55, 2006 - Issue 3
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Original Articles

Lagrange multiplier characterizations of solution sets of constrained pseudolinear optimization problems

N. Dinh Department of Mathematics, Vietnam National University, Ho Chi Minh City, Linh Trung Ward, The Duc District, HCM City, Vietnam
,
V. Jeyakumar Department of Applied Mathematics, University of New South Wales, Sydney 2052, AustraliaCorrespondence[email protected]
&
G. M. Lee Department of Applied Mathematics, Pukyong National University, Pusan 608-737, Korea
Pages 241-250 | Received 25 Jan 2005, Accepted 16 Sep 2005, Published online: 01 Sep 2006

References

  • Bianchi , M and Schaible , S . 2000 . An extension of pseudolinear functions and variational inequality problems . Journal of Optimization Theory and Applications , 104 : 59 – 71 .
  • Burke , JV and Ferris , M . 1991 . Characterization of solution sets of convex programs . Operations Research Letters , 10 : 57 – 60 .
  • Chew , KL and Choo , EV . 1984 . Pseudolinearity and efficiency . Mathematical Programming , 28 : 226 – 239 .
  • Geoffrion , AM . 1968 . Properly efficiency and the theory of vector maximization . Journal of Mathematical Analysis and Applications , 22 : 618 – 630 .
  • Jeyakumar , V and Wolkowicz , H . 1992 . Generalizations of Slater's constraint for infinite convex programs . Mathematical Programming , 57 : 85 – 101 .
  • Jeyakumar , V and Yang , XQ . 1993 . Convex composite multi-objective nonsmooth programming . Mathematical Programming , 59 : 325 – 343 .
  • Jeyakumar , V and Yang , XQ . 1995 . On characterizing the solution sets of pseudolinear programs . Journal of Optimization Theory and Applications , 87 : 747 – 755 .
  • Jeyakumar , V , Lee , GM and Dinh , N . 2004 . Lagrange multiplier conditions characterizing optimal solution sets of cone-constrained convex programs . Journal of Optimization Theory and Applications , 123 : 83 – 103 .
  • Jeyakumar , V , Lee , GM and Dinh , N . Characterization of solution sets of convex vector minimization problems . European Journal of Operations Research , (To appear)
  • Komlosi , S . 1993 . First and second-order characterizations of pseudolinear functions . European Journal of Operations Research , 67 : 278 – 286 .
  • Kortanek , KO and Evans , JP . 1967 . Pseudoconcave programming and Lagrange regularity . Operations Research , 15 : 882 – 892 .
  • Mangasarian , OL . 1988 . A simple characterization of solution sets of convex programs . Operations Research Letters , 7 : 21 – 26 .
  • Penot , JP . 2003 . Characterization of solution sets of quasiconvex programs . Journal of Optimization Theory and Applications , 117 : 627 – 636 .
  • Rapcsak , T . 1991 . On pseudolinear functions . European Journal of Operations Research , 50 : 353 – 360 .
  • Rockafellar , RT . 1970 . “ Convex Analysis ” . Princeton, , New Jersey : Princeton University Press .

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