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The Lower Semicontinuity of Optimal Solution Sets

โœ Scribed by Jingang Zhao

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
169 KB
Volume
207
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

We provide a sufficient condition which guarantees the lower-semicontinuity of the optimal solution set for a general nonlinear programming problem. It is shown that the same condition is both sufficient and necessary for convex programming problems that satisfy the Slater condition.

๐Ÿ“œ SIMILAR VOLUMES

Lower Semicontinuity of Functionals via
Lower Semicontinuity of Functionals via the Concentration-Compactness Principle
โœ Eugenio Montefusco ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 108 KB

In this paper we show the weak lower semicontinuity of some classes of functionals, using the concentration-compactness principle of P. L. Lions. These functionals involve an integral term, and we do not know whether it can be handled by the De Giorgi theorem. The semicontinuity result allows us to