Semicontinuity of multifunctions connected with optimization with respect to cones
- 9 April 1986
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
- Vol. 40 (2) , 183-193
- https://doi.org/10.1017/s1446788700027166
Abstract
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.Keywords
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