Stability for Properly Quasiconvex Vector Optimization Problem

C. S. Lalitha () and Prashanto Chatterjee ()
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C. S. Lalitha: University of Delhi South Campus
Prashanto Chatterjee: University of Delhi

Journal of Optimization Theory and Applications, 2012, vol. 155, issue 2, No 8, 492-506

Abstract: Abstract The aim of this paper is to study the stability aspects of various types of solution set of a vector optimization problem both in the given space and in its image space by perturbing the objective function and the feasible set. The Kuratowski–Painlevé set-convergence of the sets of minimal, weak minimal and Henig proper minimal points of the perturbed problems to the corresponding minimal set of the original problem is established assuming the objective functions to be (strictly) properly quasi cone-convex.

Keywords: Kuratowski–Painlevé convergence; Proper quasi cone-convexity; Efficiency; Weak efficiency; Proper efficiency (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (6)

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DOI: 10.1007/s10957-012-0079-5

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