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.
✦ LIBER ✦
The lack of lower semicontinuity and nonexistence of minimizers
✍ Scribed by Fabián Flores
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 777 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
The Lower Semicontinuity of Optimal Solu
✍
Jingang Zhao
📂
Article
📅
1997
🏛
Elsevier Science
🌐
English
⚖ 169 KB
On the upper and lower semicontinuity of
✍
Nicholas C. Yannelis
📂
Article
📅
1990
🏛
Elsevier Science
🌐
English
⚖ 918 KB
Lower Semicontinuity of Functionals via
✍
Eugenio Montefusco
📂
Article
📅
2001
🏛
Elsevier Science
🌐
English
⚖ 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
On the lower semicontinuity of the set-v
✍
Bruno Brosowski; Rudolf Wegmann
📂
Article
📅
1973
🏛
Elsevier Science
🌐
English
⚖ 700 KB
On the lower semicontinuity of certain i
✍
Primo Brandi; Anna Salvadori
📂
Article
📅
1989
🏛
Elsevier Science
🌐
English
⚖ 992 KB
On the qualitative theory of lower semic
✍
Alberto Bressan
📂
Article
📅
1989
🏛
Elsevier Science
🌐
English
⚖ 590 KB