A class of nonsmooth fractional multiobjective optimization problems

Thai Doan Chuong () and Do Sang Kim ()
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Thai Doan Chuong: Saigon University
Do Sang Kim: Pukyong National University

Annals of Operations Research, 2016, vol. 244, issue 2, No 5, 367-383

Abstract: 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 convex-affine functions. In addition, we address a dual problem to the primal one and examine duality relations between them.

Keywords: Fractional multiobjective programming; Optimality condition; Duality; Limiting/Mordukhovich subdifferential; Generalized convex-affine function; 49K99; 65K10; 90C29; 90C46 (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (5)

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DOI: 10.1007/s10479-016-2130-7

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