Journals / An International Journal of Optimization and Control: Theories & Applications (IJOCTA) / 2016 / Cilt: 6 - Sayı: 1
Generalized (?,?)-convexity in nonsmooth vector optimization over cones
- Pages
- 1–8
- DOI
- —
Abstract
In this paper, new classes of cone-generalized (?,?)-convex functions are introduced for a nonsmooth vector optimization problem over cones, which subsume several known studied classes. Using these generalized functions, various sufficient Karush-Kuhn-Tucker (KKT) type nonsmooth optimality conditions are established wherein Clarke's generalized gradient is used. Further, we prove duality results for both Wolfe and Mond-Weir type duals under various types of cone-generalized (?,?)-convexity assumptions.