Efficiency and Generalized Convex Duality for Nondifferentiable Multiobjective Programs
Kwan Deok Bae, Young Min Kang, Do Sang Kim · Journal of Inequalities and Applications · 2010
We introduce nondifferentiable multiobjective programming problems involving the support function of a compact convex set and linear functions. The concept of (properly) efficient solutions are presented. We formulate Mond-Weir-type and Wolfe-type dual problems and establish weak and strong duality theorems for efficient solutions by using suitable generalized convexity conditions. Some special cases of our duality results are given.