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| Volume 4, Number 2, May 2008, pp. 353-380 | ||||||||
| Nguyen Thi Hong Linh and Jean-Paul Penot | ||||||||
| Key words: | ||||||||
| colinvex, colinfine, generalized derivative, mathematical programming, optimality conditions, pseudoconvex function, pseudolinear function, quasiconvex function | ||||||||
| Mathematices Subject Classification: 26B25, 46G05, 49K27, 90C26, 90C32 | ||||||||
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| Abstract: | |||
| We study some classes of generalized convex functions, using a generalized derivative approach. We establish some links between these classes and we devise some optimality conditions for constrained optimization problems. In particular, we get Lagrange-Kuhn-Tucker multipliers for mathematical programming problems. | |||
| Generalized affine maps and generalized convex functions | ||