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Original Articles

SUFFICIENT OPTIMALITY CONDITIONS AND DUALITY IN MULTIOBJECTIVE OPTIMIZATION INVOLVING GENERALIZED CONVEXITY

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Pages 775-788 | Published online: 17 Aug 2006

REFERENCES

  • Aghezzaf , B. and Hachimi , M. 1998 . “ Cinquièmes Journées d'Analyse Numérique et Optimisation ” . In Sufficient conditions in multiobjective optimization Problems 28 – 30 . Kénitra , Maroc : Avril .
  • Aghezzaf , B. and Hachimi , M. 1999 . Second Order Optimality Conditions in Multiobjective Optimization Problems . Journal of Optimization Theory and Applications , 102 : 37 – 50 .
  • Aghezzaf , B. and Hachimi , M. 2001 . Sufficiency and Duality in Multiobjective Programming involving Generalized (F, ρ)-Convexity . Journal of Mathe- matical Analysis and Applications , 258 : 617 – 628 .
  • Da Cunha , N. O. and Polak , E. 1967 . Constrained Minimization Under Vector-Valued Criteria in Finite Dimensional Spaces . Journal of Mathematical Analysis and Applications , 19 : 103 – 124 .
  • Egudo , R. 1989 . Efficiency and Generalized Convex Duality for Multiobjective Programs . Journal of Mathematical Analysis and Applications , 138 : 84 – 94 .
  • Hachimi , M. 2000 . Optimality Conditions and Duality in Multiobjective Programming (in French) , Thesis Morocco : Hassan II University .
  • Hanson , M. A. 1981 . On Sufficiency of the Kuhn-Tucker Conditions . Journal of Mathe- matical Analysis and Applications , 80 : 545 – 550 .
  • Hanson , M. A. and Mond , B. 1987 . Necessary and Sufficiency Conditions in Constrained Optimization . Mathematical Programming , 37 : 51 – 58 .
  • Hanson , M. A. and Mond , B. 1987 . Convex Transformable Programming Problems and Invexity . Journal of Information and Optimization Sciences , 8 : 201 – 207 .
  • Kaul , R. N. , Suneja , S. K. and Srivastava , M. K. 1994 . Optimality Criteria and Duality in Multiple-Objective Optimization Involving Generalized Invexity . Journal of Optimization Theory and Applications , 80 : 465 – 482 .
  • Mangasarian , O. L. 1969 . Nonlinear Programming New York , New York : McGraw Hill .
  • Marusciac , I. 1982 . On Fritz John type Optimality Criterion in Multiobjective Optimization . L'Analyse Numérique et la Theorie de l'Approximation , 11 : 109 – 114 .
  • Singh , C. 1987 . Optimality Conditions in Multiobjective Differentiable Programming . Journal of Optimization Theory and Applications , 53 : 115 – 123 .
  • Suneja , S. K. , Singh , C. and Bector , C. R. 1993 . Generalization of Preinvex and B-vex Functions . Journal of Optimization Theory and Applications , 76 : 577 – 587 .
  • Weir , T. 1987 . A converse Duality Theorem in Multiple Objective Programming . Operations Research Letters , 6 : 129 – 130 .
  • Weir , T. and Mond , B. 1988 . Preinvex Functions in Multiple Objective Optimization . Journal of Mathematical Analysis and Applications , 136 : 29 – 38 .
  • Ye , Y. L. 1991 . D-invexity and Optimality Conditions . Journal of Mathematical Analysis and Applications , 162 : 242 – 249 .

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