Semiinfinite multiobjective fractional programming. P. II. Duality models

• Autorzy: Zalmai G. J. , Zhang Q.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we discuss a fairly large number of parametric and semiparametric duality results under various generalized (η, ρ)-invexity assumptions for a semiinfinite multiobjective fractional programming problem.

Słowa kluczowe

EN

semiinfinite programming; multiobjective fractional programming; generalized invex functions; infinitely many equality and inequality constraints; dual problems; duality theorems

PL

programowanie półnieskończone; programowanie wielokryterialne; ograniczenie równościowe; ograniczenie nierównościowe; dwoistość; twierdzenia o dwoistości

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2011
• Tom: Vol. 17, nr 1
• Strony: 1--35
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Zalmai G. J.

autor

Zhang Q.

• Department of Mathematics and Computer Science, Northern Michigan University, Marquette, MI 49855, USA,

Bibliografia

• [1] M. A. Hanson, On sufficiency of the Kuhn-Tucker conditions, J. Math. Anal. Appl. 80 (1981), 545-550.
• [2] V. Jeyakumar, Strong and weak invexity in mathematical programming. Methods Open Res. 55 (1985), 109-125.
• [3] B. Mond and T. Weir, Generalized concavity and duality, in: Generalized Concavity in Optimization and Economics, pp. 263-279, Academic Press, New York, 1981.
• [4] X. Yang, Generalized convex duality for multiobjective fractional programs. Op-search 31 (1994), 155-163.
• [5] G.J. Zalmai and Q. Zhang, Semiinfinite multiobjective fractional programming, part I: Sufficient efficiency conditions, J. Appl. Anal. 16 (2010), 199-224.