Generalized (F, beta,phi, rho, theta) -univex functions and optimality conditions in semiinfinite fractional programming

被引：2
作者：
Zalmai, G. J. [1 ]
Zhang, Qinghong [1 ]
机构：
[1] Northern Michigan Univ, Dept Math & Comp Sci, Marquette, MI 49855 USA
来源：
JOURNAL OF INTERDISCIPLINARY MATHEMATICS | 2010年 / 13卷 / 04期
关键词：
Semiinfinite programming; fractional programming; generalized univex functions; optimality conditions;
D O I：
10.1080/09720502.2010.10700708
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we establish a set of necessary optimality conditions, and formulate and discuss a fairly large number of sets of global sufficient optimality criteria under various generalized (F, beta, phi, rho, theta) - univexity assumptions for a semiinfinite fractional programming problem.
引用
收藏
页码：377 / 405
页数：29
相关论文
共 37 条
[1]  
Barros A. I., 1998, DISCRETE FRACTIONAL
[2]  
Bector C.R., 1994, GEN CONVEXITY, V405, P3
[3]  
Brosowski B, 1982, PARAMETRIC SEMIINFIN
[4]  
Craven B. D., 1988, Opsearch, V25, P165
[5]  
Craven B.D., 1981, J AUST MATH SOC B, V24, P357
[6]  
Craven BD., 1988, FRACTIONAL PROGRAMMI
[7]  
Dinkelbach W., 1967, MANAGE SCI, V13, P492, DOI [10.1287/mnsc.13.7.492, DOI 10.1287/MNSC.13.7.492]
[8]  
Fiacco A. V., 1990, NONLINEAR PROGRAMMIN, V4
[9]   NECESSARY AND SUFFICIENT OPTIMALITY CONDITIONS FOR FRITZ-JOHN PROBLEM WITH LINEAR EQUALITY CONSTRAINTS [J].
GEHNER, KR .
SIAM JOURNAL ON CONTROL, 1974, 12 (01) :140-149
[10]  
Giorgi G, 1996, J INFORM OPTIM SCI, V17, P137
1234