一类广义弧式凸函数多目标规划的充分性条件

吉林大学学报(工学版) ›› 2001, Vol. ›› Issue (1): 57-61.

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Sufficient Conditions of Multiobjective Programming for a Kind of Generalized Arcwise Convex Functions

WANG Ying-ying¹, DONG Jia-li²

1. Dept of Fundamental Sciences, Jinlin Institute of Civil Engineering, Changchun 130021, China;
2. College of Sciences, Jilin University, Nanling Campus, Changchun 130025, China

Received:2000-06-18 Online:2001-01-25

Abstract

CLC Number:

O221

WANG Ying-ying, DONG Jia-li. Sufficient Conditions of Multiobjective Programming for a Kind of Generalized Arcwise Convex Functions[J].吉林大学学报(工学版), 2001, (1): 57-61.

[1] 林锉云,董加礼.多目标优化的方法与理论［M］.长春:吉林教育出版社,1992.
[2] 王英英.广义凸多目标规划的最优性条件及对偶理论［D］.长春:吉林工业大学理学院,1994.
[3] Hanson M A. On sufficiency of the kuhn-tucker conditions［J］.J. Math. Anal. Appl., 1981,80:545～550.
[4] Hanson M A, Mond B. Further generalizations of convexity in mathematica programming［J］. J. Inform. Optim. Sci.,1982,3:25～32.
[5] Wang Y Y. Duqlity theorems of the multiobjective programming for generalized arcwise quasiconvex and pseudoconvex functions［J］. Journal of Jilin Architectural and Civil Engineering Institute, 1996, 31(4):29～35.

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[1]	WANG Ying-ying, LUO Rui-ping. Duality Theorems of Multiobjective Programming for ρ-Arcwise Convex Function [J]. 吉林大学学报(工学版), 2002, (1): 57-61.
[2]	LI Feng . Optimization Conditions and Duality Theory of Semiconvex Multiobjective Programming [J]. 吉林大学学报(工学版), 2000, 30(01): 57-62.