Abstract convex analysis
Ivan Singer.
New York : Wiley, ©1997.
xix, 491 págs. ; 25 cm.
Serie: Canadian Mathematical Society series of monographs and advanced texts
ISBN: 0471160156
"A Wiley-Interscience publication."
Incluye referencias bibliográficas (p. 461- 474) e índices.
Reseña: MathSciNet, 98k:49002
Contenido
- Introduction : From convex analysis to abstract convex analysis
- 1. Abstract convexity of elements of a complete lattice
- 2. Abstract convexity of subsets of a set
- 3. Abstract convexity of functions on a set
- 4. Abstract quasi-convexity of functions on a set
- 5. Dualities between complete lattices
- 6. Dualities between families of subsets
- 7. Dualities between sets of functions
- 8. Conjugations
- 9. $\vee$-dualities and $\bot$-dualities
- 10. Abstract subdifferentials.
