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On duality for nonconvex minimization problems within the framework of abstract convexity.
- Source :
-
Optimization . Apr2022, Vol. 71 Issue 4, p949-971. 23p. - Publication Year :
- 2022
-
Abstract
- By applying the perturbation function approach, we propose the Lagrangian and conjugate duals for minimization problems of the sum of two, generally nonconvex, functions. The main tools are the Φ-convexity theory and minimax theorems for Φ-convex functions. We provide conditions ensuring zero duality gap and introduce Φ-Karush–Kuhn–Tucker conditions that characterize solutions to primal and dual problems. We also discuss the relationship between the dual problems introduced in the present investigation and some conjugate-type duals existing in the literature. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LITERATURE
*CHEBYSHEV approximation
*CONVEXITY spaces
Subjects
Details
- Language :
- English
- ISSN :
- 02331934
- Volume :
- 71
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 156867967
- Full Text :
- https://doi.org/10.1080/02331934.2021.2010076