DUALITY IN NONDIFFERENTIABLE MULTIOBJECTIVE FRACTIONAL PROGRAMS INVOLVING CONES

作     者：Kim, Do Sang Lee, Yu Jung Bae, Kwan Deok 

作者机构：Pukyong Natl Univ Div Math Sci Pusan 608737 South Korea 

出 版 物：《TAIWANESE JOURNAL OF MATHEMATICS》 (Taiwanese J. Math.)

年 卷 期：2009年第13卷第6A期

页      面：1811-1821页

核心收录：

主　　题：Nondifferentiable programming Multiobjective fractional programming (V, rho)-invexity Duality theorems 

摘      要：In this paper, we introduce nondifferentiable multiobjective fractional programming problems with cone constraints over arbitrary closed convex cones, where every component of the objective function contains a term involving the support function of a compact convex set. For this problem, Wolfe and Mond-Weir type duals are proposed. We establish weak and strong duality theorems for a weakly efficient solution under suitable (V, rho)-invexity assumptions. As special cases of our duality relations, we give some known duality results.