2009•Unpublished venueRequires access

Optimality Conditions and Duality for a Class of Generalized Convex Multi-objective Fractional Programming Problems

Zhiwei Huang

Abstract

In this paper,a class of non-smooth multi-objective fractional programming problems in which functions are locally Lipschitz are considered.For this class of multi-objective fractional programming problems the concept of Nonsmooth B-(p,r)-Invex Functions is introduced,and the sufficient optimality conditions for an efficient solution are discussed.Moreover,a duality model of this problem is constructed and appropriate duality theorems are proved.

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Available abstract

Key concepts: Duality (order theory), Mathematics, Fractional programming, Class (philosophy), Lipschitz continuity, Strong duality, Perturbation function, Duality gap