Optimality Conditions in Quasidifferentiable Vector Optimization

T. Antczak ()
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T. Antczak: University of Łódź

Journal of Optimization Theory and Applications, 2016, vol. 171, issue 2, No 21, 708-725

Abstract: Abstract In the paper, the quasidifferentiable vector optimization problem with the inequality constraints is considered. The Fritz John-type necessary optimality conditions and the Karush–Kuhn–Tucker-type necessary optimality conditions for a weak Pareto solution are derived for such a nonsmooth vector optimization problem. Further, the concept of an F-convex function with respect to a convex compact set is introduced. Then, the sufficient optimality conditions for a (weak) Pareto optimality of a feasible solution are established for the considered nonsmooth multiobjective optimization problem under assumptions that the involved functions are quasidifferentiable F-convex with respect to convex compact sets which are equal to Minkowski sum of their subdifferentials and superdifferentials at this point.

Keywords: Quasidifferentiable multiobjective optimization problem; Fritz John-type necessary optimality conditions; Karush–Kuhn–Tucker-type necessary optimality conditions; Pareto optimality; Quasidifferentiable F-convexity with respect to a convex compact set; 49J52; 90C29; 90C30; 90C26 (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10957-016-0987-x

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