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Penalty function methods and a duality gap for invex optimization problems
- Source :
-
Nonlinear Analysis . Oct2009, Vol. 71 Issue 7/8, p3322-3332. 11p. - Publication Year :
- 2009
-
Abstract
- Abstract: In this paper, the penalty function method is used to study duality in nonconvex mathematical programming problems. In particular, we prove the zero duality gap between optimization problems involving invex functions with respect to the same function η and their Lagrangian dual problems. The results proved in the paper are illustrated by suitable examples of nonconvex optimization problems. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0362546X
- Volume :
- 71
- Issue :
- 7/8
- Database :
- Academic Search Index
- Journal :
- Nonlinear Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 40632910
- Full Text :
- https://doi.org/10.1016/j.na.2009.01.233