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Title: | On the lower semicontinuity of optimal solution sets |
Authors: | Kien B.T. |
Keywords: | Lower semicontinuity Optimal solution set Parametric optimization problem |
Issue Date: | 2005 |
Publisher: | Optimization |
Citation: | Volume 54, Issue 2, Page 123-130 |
Abstract: | We study the lower semicontinuity of the optimal solution set of a parametric optimization problem. Our results sharpen the main results of Zhao (1997, The lower semicontinuity of optimal solution sets. Journal of Mathematical Analysis and Applications, 207, 240-254. Ref. [9]). Namely, it is shown that the conclusion of Theorem 1 of [9] is still valid under weaker assumptions, and the conditions on "ε-nontriviality" and uniform continuity of the objective function in Theorems 2 and 3 of [9] can be omitted. © 2005 Taylor & Francis Group Ltd. |
URI: | http://tainguyenso.vnu.edu.vn/jspui/handle/123456789/11689 |
ISSN: | 2331934 |
Appears in Collections: | Articles of Universities of Vietnam from Scopus
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