Optimality conditions and Mond–Weir duality for a class of differentiable semi-infinite multiobjective programming problems with vanishing constraints

Tadeusz Antczak ()
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Tadeusz Antczak: University of Łódź

4OR, 2022, vol. 20, issue 3, No 3, 417-442

Abstract: Abstract In this paper, the class of differentiable semi-infinite multiobjective programming problems with vanishing constraints is considered. Both Karush–Kuhn–Tucker necessary optimality conditions and, under appropriate invexity hypotheses, sufficient optimality conditions are proved for such nonconvex smooth vector optimization problems. Further, vector duals in the sense of Mond–Weir are defined for the considered differentiable semi-infinite multiobjective programming problems with vanishing constraints and several duality results are established also under invexity hypotheses.

Keywords: Differentiable semi-infinite multiobjective programming problem with vanishing constraints; Karush–Kuhn–Tucker necessary optimality conditions; Mond–Weir duality; Invex function; 90C29; 90C30; 90C46; 90C26 (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10288-021-00482-1

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