Generalized (Φ,ρ)-convexity in nonsmooth vector optimization over cones.

Autor: Suneja, S. K., Sharma, Sunila, Kapoor, Malti
Předmět:
Zdroj: International Journal of Optimization & Control: Theories & Applications; Jan2016, Vol. 6 Issue 1, p1-7, 7p
Abstrakt: In this paper, new classes of cone-generalized (Φ,ρ)-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 (Φ,ρ)-convexity assumptions. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index