Generalized (Phi, Rho)-convexity in nonsmooth vector optimization over cones
DOI:
https://doi.org/10.11121/ijocta.01.2016.00247Keywords:
Nonsmooth vector optimization over cones, cone-generalized (Phi, Rho)-convexity, nonsmooth optimality conditions, duality.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,RhoDownloads
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