Strict Minimality Conditions in Nondifferentiable Multiobjective Programming

B. Jiménez
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B. Jiménez: UNED

Journal of Optimization Theory and Applications, 2003, vol. 116, issue 1, No 6, 99-116

Abstract: Abstract In this paper, sufficient conditions for superstrict minima of order m to nondifferentiable multiobjective optimization problems with an arbitrary feasible set are provided. These conditions are expressed through the Studniarski derivative of higher order. If the objective function is Hadamard differentiable, a characterization for strict minimality of order 1 (which coincides with superstrict minimality in this case) is obtained.

Keywords: Multiobjective programming; superstrict local Pareto minimum; optimality conditions; strict efficiency of higher order (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1023/A:1022162203161

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