Duality in nondifferentiable multiobjective fractional programming problem with generalized invexity

被引：7

作者：

Gulati T.R. ^{[1
]}

Geeta ^{[1
]}

机构：

[1] Department of Mathematics, Indian Institute of Technology Roorkee

来源：

Journal of Applied Mathematics and Computing | 2011年 / 35卷 / 1-2期

关键词：

Efficiency; Higher-order; (V; α; ρ; θ)-invexity; Multiobjective fractional programming; Nondifferentiable programming; Support function;

D O I：

10.1007/s12190-009-0345-3

中图分类号：

学科分类号：

摘要：

In this paper, a new class of higher-order (V,α,ρ,θ)-invex function is introduced. Conditions are obtained under which a fractional function is higher-order (V,α,ρ,θ)-invex. Sufficiency of Karush-Kuhn-Tucker conditions is shown under this class of function. We then consider a nondifferentiable multiobjective fractional programming problem and derive the duality theorems. © 2009 Korean Society for Computational and Applied Mathematics.

引用

页码：103 / 118

页数：15

共 10 条

[1]

Gulati T.R., Agarwal D., Optimality and duality in nondifferentiable multiobjective mathematical programming involving higher order (F,α,ρ,d)-type i functions, J. Appl. Math. Comput., 27, pp. 345-364, (2008)

[2]

Gulati T.R., Islam M.A., Efficiency and proper efficiency in differentiable multiobjective programming, Ganit, 9, pp. 55-62, (1989)

[3]

Hanson M.A., On sufficiency of the Kuhn-Tucker conditions, J. Math. Anal. Appl., 80, pp. 545-550, (1981)

[4]

Jeyakumar V., Strong and weak invexity in mathematical programming, Math. Oper. Res., 55, pp. 109-125, (1985)

[5]

Jeyakumar V., Mond B., On generalised convex mathematical programming, J. Aust. Math. Soc. Ser. B, 34, pp. 43-53, (1992)

[6]

Kuk H., Lee G.M., Kim D.S., Nonsmooth multiobjective programs with (V,ρ)-invexity, Indian J. Pure Appl. Math., 29, pp. 405-412, (1998)

[7]

Liang Z.A., Huang H.X., Pardalos P.M., Optimality conditions and duality for a class of nonlinear fractional programming problems, J. Optim. Theory Appl., 110, pp. 611-619, (2001)

[8]

Pandey S., Duality for multiobjective fractional programming involving generalized η-bonvex functions, Opsearch, 28, pp. 36-43, (1991)

[9]

Suneja S.K., Srivastava M.K., Bhatia M., Higher order duality in multiobjective fractional programming with support functions, J. Math. Anal. Appl., 347, pp. 8-17, (2008)

[10]

Yuan D.H., Liu X.L., Chinchuluun A., Pardalos P.M., Nondifferentiable minimax fractional programming problems with (C,α,ρ,d)-convexity, J. Optim. Theory Appl., 129, pp. 185-199, (2006)

← 1 →