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Rank Theorem in Infinite Dimension and Lagrange Multipliers.
- Source :
-
Applied Mathematics & Optimization . Jun2020, Vol. 81 Issue 3, p815-822. 8p. - Publication Year :
- 2020
-
Abstract
- We use an extension to the infinite dimension of the rank theorem of the differential calculus to establish a Lagrange theorem for optimization problems in Banach spaces. We provide an application to variational problems on a space of bounded sequences under equality constraints. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BANACH spaces
*DIFFERENTIAL calculus
*LAGRANGE multiplier
*SEQUENCE spaces
Subjects
Details
- Language :
- English
- ISSN :
- 00954616
- Volume :
- 81
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics & Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 143476272
- Full Text :
- https://doi.org/10.1007/s00245-018-9520-y