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Semicontinuity of multifunctions connected with optimization with respect to cones

Part of: Topological linear spaces and related structures Maps and general types of spaces defined by maps

Published online by Cambridge University Press:  09 April 2009

Alicja Sterna-Karwat
Alicja Sterna-Karwat
Affiliation:
Department of Mathematics, Monash University, Clayton, Victoria 3168, Australia
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Abstract

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This paper studies topological upper and lower semicontinuity of the minimal value multifunction and the solution multifunction for optimization problems, which are defined in terms of cones, subject to perturbations in constraints. It extends the results of Tanino and Sawaragi to finite dimensions and one of Berge to multiple objective optimization problems.

MSC classification

Secondary: 46A40: Ordered topological linear spaces, vector lattices 54C60: Set-valued maps 90C30: Nonlinear programming
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 40 , Issue 2 , April 1986 , pp. 183 - 193
Copyright
Copyright Australian Mathematical Society 1986

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