First- and second-order optimality conditions for multiobjective fractional programming

P. Khanh () and L. Tung ()

TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, 2015, vol. 23, issue 2, 419-440

Abstract: We consider nonsmooth multiobjective fractional programming on normed spaces. Using first- and second-order approximations as generalized derivatives, first- and second-order optimality conditions are established. Unlike the existing results, we avoid completely convexity assumptions. Our results can be applied even in infinite-dimensional cases, involving non-Lipschitz maps. Copyright Sociedad de Estadística e Investigación Operativa 2015

Keywords: Multiobjective fractional programming; First and second-order approximations; Weak solutions; Firm solutions; Optimality conditions; Asymptotical pointwise compactness; 90C32; 90C29; 49K99 (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s11750-014-0347-7

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