Title of article :
Generalized (Phi, Rho)-convexity in nonsmooth vector optimization over cones
Author/Authors :
Sunejaa, S.K. Department of Mathematics - Miranda House - University of Delhi, India , Sharmaban, Sunila Department of Mathematics - Miranda House - University of Delhi, India , Kapoorca, Malti Department of Mathematics - Motilal Nehru College - University of Delhi, India
Abstract :
In this paper, new classes of cone-generalized (Phi,Rho)-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 (Phi,Rho)-convexity assumptions.Phi,Rho
Keywords :
Nonsmooth vector optimization over cones , cone-generalized , (,)-convexity , nonsmooth optimality conditions , duality
Journal title :
International Journal of Optimization and Control: Theories and Applications
