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Existence of exact penalty for optimization problems with mixed constraints in Banach spaces
- Source :
-
Journal of Mathematical Analysis & Applications . Dec2006, Vol. 324 Issue 1, p669-681. 13p. - Publication Year :
- 2006
-
Abstract
- Abstract: In this paper we use the penalty approach in order to study constrained minimization problems in a Banach space with nonsmooth nonconvex mixed constraints. A penalty function is said to have the exact penalty property [J.-B. Hiriart-Urruty, C. Lemarechal, Convex Analysis and Minimization Algorithms, Springer, Berlin, 1993] if there is a penalty coefficient for which a solution of an unconstrained penalized problem is a solution of the corresponding constrained problem. In this paper we establish sufficient conditions for the exact penalty property. [Copyright &y& Elsevier]
- Subjects :
- *COMPLEX variables
*BANACH spaces
*MATHEMATICAL optimization
*GENERALIZED spaces
Subjects
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 324
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 22594594
- Full Text :
- https://doi.org/10.1016/j.jmaa.2005.12.042