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    Generalized (Phi, Rho)-convexity in nonsmooth vector optimization over cones
    International Journal of Optimization and Control: Theories and Applications ; 2016
    In:  An International Journal of Optimization and Control: Theories & Applications (IJOCTA) Vol. 6, No. 1 ( 2016-01-24), p. 1-7
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    In: An International Journal of Optimization and Control: Theories & Applications (IJOCTA), International Journal of Optimization and Control: Theories and Applications, Vol. 6, No. 1 ( 2016-01-24), p. 1-7
    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
    Type of Medium: Online Resource
    ISSN: 2146-5703 , 2146-0957
    URL: Article
    DOI: 10.11121/ijocta.01.2016.00247
    Language: Unknown
    Publisher: International Journal of Optimization and Control: Theories and Applications
    Publication Date: 2016
    detail.hit.zdb_id: 2648853-X
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