- Title
- Sufficient global optimality conditions for weakly convex minimization problems
- Creator
- Wu, Zhiyou
- Date
- 2007
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/33722
- Identifier
- vital:951
- Identifier
-
https://doi.org/10.1007/s10898-007-9147-z
- Identifier
- ISSN:0925-5001
- Abstract
- In this paper, we present sufficient global optimality conditions for weakly convex minimization problems using abstract convex analysis theory. By introducing (L,X)-subdifferentials of weakly convex functions using a class of quadratic functions, we first obtain some sufficient conditions for global optimization problems with weakly convex objective functions and weakly convex inequality and equality constraints. Some sufficient optimality conditions for problems with additional box constraints and bivalent constraints are then derived. © 2007 Springer Science+Business Media, Inc.; C1
- Publisher
- Springer
- Relation
- Journal of Global Optimization Vol. 39, no. 3 (2007), p. 427-440
- Rights
- Copyright Springer
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0802 Computation Theory and Mathematics; Global optimisation; Optimality conditions; Weakly convex minimization; Constraint theory; Optimal control systems; Problem solving; Quadratic programming
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