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Research Paper | Mathematics | Volume 3 Issue 6, June 2014 | Pages: 776 - 784 | India
Duality for Vector Optimization Problems with Cone Constraints Involving Support Functions
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).
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
How to Cite?: Priyanka Yadav, "Duality for Vector Optimization Problems with Cone Constraints Involving Support Functions", Volume 3 Issue 6, June 2014, International Journal of Science and Research (IJSR), Pages: 776-784, https://www.ijsr.net/getabstract.php?paperid=2014277, DOI: https://dx.doi.org/10.21275/2014277