Singer, Ivan.
Abstract convex analysis / Ivan Singer.
— New York : Wiley, c1997. xix, 491 p. ; 25 cm. — (Canadian Mathematical Society series of monographs and advanced texts)
"A Wiley-Interscience publication."
Incluye referencias bibliográficas (p. 461- 474) e índices.
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.
ISBN 0471160156
|