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Title of Journal: Ann Oper Res

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Abbravation: Annals of Operations Research

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Springer US

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DOI

10.1007/bf02009435

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1572-9338

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A class of nonsmooth fractional multiobjective opt

Authors: Thai Doan Chuong Do Sang Kim
Publish Date: 2016/02/08
Volume: 244, Issue: 2, Pages: 367-383
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Abstract

This paper focuses on the study of optimality conditions and duality in nonsmooth fractional multiobjective optimization problems Applying some advanced tools of variational analysis and generalized differentiation we establish necessary optimality conditions for weakly efficient solutions of a fractional multiobjective optimization problem involving inequality and equality constraints Sufficient optimality conditions for such solutions to the considered problem are also obtained by means of strictly generalized convexaffine functions In addition we address a dual problem to the primal one and examine duality relations between themThis work was supported by the Basic Science Research Program through the National Research Foundation of Korea NRF funded by the Ministry of Education Science and Technology No 20100012780 and by the Vietnam National Foundation for Science and Technology Development NAFOSTED No 10101201417

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