Quasi-convex functions and applications to optimality conditions in nonlinear programming
- Resource Type
- Authors
- A. Hassouni; Abdessamad Jaddar
- Source
- Applied Mathematics Letters. 14(2):241-244
- Subject
- Mathematics::Functional Analysis
Quasimonotonicity
Applied Mathematics
Mathematical analysis
Banach space
Quasi-convexity
Normal cones
Function (mathematics)
Variational inequalities
Nonlinear programming
Level set
Variational inequality
Applied mathematics
Convex function
Subdifferential
Mathematics
- Language
- ISSN
- 0893-9659
We establish necessary and sufficient optimality conditions for quasi-convex programming. First, we treat some properties of the normal cone to the level set of a lower semicontinuous quasi-convex function defined on a Banach space. Next, we get our conditions via some variational inequalities.