Set-convergence of convex sets and stability in vector optimization

Miglierina Enrico
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Miglierina Enrico: Department of Economics, University of Insubria, Italy

Economics and Quantitative Methods from Department of Economics, University of Insubria

Abstract: This work establishes the lower convergence of the set of minimal points of An to the set of minimal points of A, whenever An is a sequence of convex subsets of an euclidean space satisfying the dominance property and converging to A. Using this result and introducing a property for a function f that guarantees the convergence of the image f(An) to f(A) when An converges to A, we obtain some stability results in the decision space for a class of suitable perturbations of the feasible region of a vector optimization problem.

Pages: 11 pages
Date: 2002-11
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Persistent link: https://EconPapers.repec.org/RePEc:ins:quaeco:qf0220

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