Stability for Properly Quasiconvex Vector Optimization Problem

Stability for Properly Quasiconvex Vector Optimization Problem

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Article ID: iaor20127257
Volume: 155
Issue: 2
Start Page Number: 492
End Page Number: 506
Publication Date: Nov 2012
Journal: Journal of Optimization Theory and Applications
Authors: ,
Keywords: programming: convex
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.

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