Stability and Scalarization for a Unified Vector Optimization Problem

Shiva Kapoor () and C. S. Lalitha ()
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Shiva Kapoor: University of Delhi
C. S. Lalitha: University of Delhi South Campus

Journal of Optimization Theory and Applications, 2019, vol. 182, issue 3, No 10, 1050-1067

Abstract: Abstract This paper aims at investigating the Painlevé–Kuratowski convergence of solution sets of a sequence of perturbed vector problems, obtained by perturbing the feasible set and the objective function of a unified vector optimization problem, in real normed linear spaces. We establish convergence results, both in the image and given spaces, under the assumptions of domination and strict domination properties. Moreover, scalarization techniques are employed to establish the Painlevé–Kuratowski convergence in terms of the solution sets of a sequence of scalarized problems.

Keywords: Painlevé–Kuratowski convergence; Vector optimization; Gamma-convergence; Domination property; Scalarization; 90C29; 90C31; 90C26 (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-019-01514-x

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