2008•Journal of Yibin UniversityRequires access

Optimality Condition and Duality Results for a Class of Multi-objective Fractional Programming Problems with Generalized Convexity

Min Xin-chang

Abstract

In the article,it introduces and studies a class of multi-objective fractional programming problems with perturbation under generalized convexity conditions.It claims that the multi-objective fractional programming problem is equivalent to the multi-objective programming problem and establish a sufficient optimality condition for the multi-objective fractional programming problem.It also obtains the weak and strong duality theorems for the multi-objective fractional programming problem.

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Available abstract

Key concepts: Fractional programming, Convexity, Duality (order theory), Mathematics, Mathematical optimization, Class (philosophy), Strong duality, Nonlinear programming