Stability in unified semi-infinite vector optimization

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 Global Optimization, 2019, vol. 74, issue 2, No 8, 383-399

Abstract: Abstract This paper is devoted to the study of Painlevé−Kuratowski convergence of constraint sets, minimal and efficient solution sets of a unified semi-infinite vector optimization problem. The convergence is established under the functional perturbations of objective function and constraint maps assuming the continuous convergence of the objective functions and uniform gamma convergence of the constraint maps. Further, examples are formulated to analyze the significance of assumptions in the main results.

Keywords: Semi-infinite vector optimization; Painlevé−Kuratowski convergence; Partial strict quasiconvexity; Continuous convergence; Gamma convergence; 90C34; 90C29; 90C31 (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s10898-019-00761-6

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