generalized (phi, rho)-convexity in nonsmooth vector optimization over cones
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ID: 216637
2016
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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
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| Reference Key |
kapoor2016angeneralized
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|---|---|
| Authors | ;Malti Kapoor;Surjeet K Suneja;Sunila Sharma |
| Journal | 2018 2nd international symposium on small-scale intelligent manufacturing systems, sims 2018 |
| Year | 2016 |
| DOI |
10.11121/ijocta.01.2016.00247
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| URL | |
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