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Duality for Vector Optimization Problems with Cone Constraints Involving Support Functions

Journal: International Journal of Science and Research (IJSR) (Vol.3, No. 6)

Publication Date:

Authors : ;

Page : 776-784

Keywords : "vector optimization; cones; Mond-Weir dual; invexity; quasi-(pseudo)invexity; higher order type I functions; higher order pseudoquasi-type I functions; higher order (F; ) type I functions; higher order (F; )-pseudoquasi-type I functions.";

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Abstract

"In this work, first and higher order duality is discussed for vector optimization problems with cone constraint where every component of the objective function contains a term involving the support function of a compact convex set. It is an attempt to remove certain omissions and inconsistencies in the work of Kim and Lee (Nonlinear Anal. Theory Meth. Appl. 71 (2009),2474-2480)."

Last modified: 2014-06-24 18:06:18