Generalized convexity and duality for multiobjective optimization problems

References

• Craven , B.D. 1977 . Lagrangian condition and quasiduality . Bull. Austral. Math. Soc. , 16 : 325 – 339 .
   Google Scholar
• Egudo , R.R. 1989 . Efficiency and generalized convex duality for multiobjective programs . J. Math. Anal. Appl. , 138 : 84 – 94 .
   Web of Science ®Google Scholar
• Egudo , R.R. 1987 . Proper efficiency and multiobjective duality in nonlinear programming . J. Inform. Optim. Sci. , 8 : 155 – 166 .
   Google Scholar
• Geoffrion , A.M. 1968 . Proper efficiency and the theory of vector maximization . J. Math. Anal. Appl. , 22 : 613 – 630 .
   Web of Science ®Google Scholar
• Hanson , M.A. and Mond , B. 1982 . Further generalizations of convexity in mathematical programming . J. Inform. Optim. Sci. , 3 : 25 – 32 .
   Google Scholar
• Hartley , R. 1985 . Vector and parametric programming . J. Opl. Res. Soc. , 36 : 423 – 432 .
   Web of Science ®Google Scholar
• Kim , D. S. and Lee , G.M. 1991 . Optimality conditions and duality theorems for multiobjective invex programs . J. Inform. Optim. Sci. , 12 : 235 – 242 .
   Google Scholar
• Mangasarian , O.L. 1969 . Nonlinear Programming , New York : McGraw-Hill .
   Google Scholar
• Mond , B. and Weir , T. 1981 . “ Generalized concavity and duality ” . In Generalized Concavity in Optimization and Economics , Edited by: Schaible , S. and Ziemba , W.T. 263 – 279 . San Diego : Academic Press . in
   Google Scholar
• Weir , T. 1987 . A converse duality theorem in multiple objective programming . Oper. Res. Letters , 6 : 129 – 130 .
   Web of Science ®Google Scholar
• Weir , T. 1987 . Proper efficiency and duality for vector valued optimization problems . J. Austral. Math. Soc. (series A) , 43 : 21 – 34 .
   Web of Science ®Google Scholar
• Wolfe , P. 1961 . A duality theorem for nonlinear programming . Quart. Appl. Math. , 19 : 239 – 244 .
   Google Scholar