Abstract
We consider parametric linear vector semi-infinite optimization where the index set of the constraints is compact and the constraint functions are continuous. Some stability properties of the solutions are investigated. We prove lower and upper semi continuity of the restricted objective map over the closed balls. This gives a possibility to consider continuity properties in the case when in the image spase we consider the Kuratowski Painleve convergence. A property which characterizes well-posed problems is defined. Under some not too restrictive conditions over the index set we also obtain that this property is fulfilled in a dense subset of the solvability set.
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© 1994 Springer-Verlag New York, Inc.
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Todorov, M.I. (1994). Well-Posedness in The Linear Vector Semi-Infinite Optimization. In: Tzeng, G.H., Wang, H.F., Wen, U.P., Yu, P.L. (eds) Multiple Criteria Decision Making. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2666-6_15
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DOI: https://doi.org/10.1007/978-1-4612-2666-6_15
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