CHARACTERISING SOLUTION SET OF A NONCONVEX PROGRAMMING PROBLEM VIA ITS DUAL PROBLEMS | Kim | Dalat University Journal of Science

CHARACTERISING SOLUTION SET OF A NONCONVEX PROGRAMMING PROBLEM VIA ITS DUAL PROBLEMS

Do Sang Kim, Tạ Quang Sơn

Abstract


Using duality theory, we propose a new approach to characterise solution set of a nonconvex optimisation problem. Several characterisations of solution set of the problem are established via it s dual problems. Characterisations of solution sets of some class of convex/nonconvex optimisation problems given in several papers before can be covered. Example is given.


Keywords


Mixed type duality; Lagrange function; Solution set



DOI: http://dx.doi.org/10.37569/DalatUniversity.2.3.204(2012)

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Copyright (c) 2012 Do Sang Kim, Tạ Quang Sơn

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