Higher-Order Minimizers and Generalized (F,<i>ρ</i>)-Convexity in Nonsmooth Vector Optimization over Cones

• 作者: Malti Kapoor S. K. Suneja Sunila Sharma
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: NONSMOOTH Vector Optimization OVER CONES (Weak) MINIMIZERS of Order k NONSMOOTH (F ρ)-Convex Function of Order k
• 年，卷（期）: yysxyw_2015,（1）
• 页码范围: 7-19
• 页数: 13页
• 分类号: O1

摘要

In this paper, we introduce the concept of a (weak) minimizer of order k for a nonsmooth vector optimization problem over cones. Generalized classes of higher-order cone-nonsmooth (F, ρ)-convex functions are introduced and sufficient optimality results are proved involving these classes. Also, a unified dual is associated with the considered primal problem, and weak and strong duality results are established.