References
References
- Akian , M . 1999 . Densities of idempotent measures and large deviations . Trans. Amer. Math. Soc. , 351 : 4515 – 4543 .
- Akian , M and Singer , I . 2003 . Topologies on lattice ordered groups, separation from closed downward sets and conjugations of type Lau . Optimization , 52 : 629 – 672 .
- Birkhoff , G . 1967 . Colloquium publications, American Mathematical Society, Providence . Lattice Theory , 25
- Bourbaki N 1942 Groupes Topologiques, Hermann Paris
- Gunawardena J 1998 An introduction to idempotency In: J. Gunawardena (Ed.) Idempotency pp. 1–49 Cambridge University Press Cambridge
- Gunawardena J Keane M 1995 On the existence of cycle times for some non-expansive maps Technical Report HPL-BRIMS-95-003 Hewlett-Packard Labs
- Kolokoltsov VN Maslov VP 1997 Idempotent An alysis and its Applications, Kluwer Academic Publishers Dordrecht-Boston-London
- Martínez-Legaz , J-E , Rubinov , AM and Singer , I . 2002 . Downward sets and their separation and approximation properties . J. Global Optimization , 23 : 113 – 137 .
- Martínez-Legaz , J-E and Singer , I . 1994 . *-dualities . Optimization , 30 : 295 – 315 .
- Martínez-Legaz , J-E and Singer , I . 1997 . On conjugations for functions with values in extensions of ordered groups . Positivity , 1 : 193 – 218 .
- Moreau , J-J . 1970 . Inf-convolution, sous-additivité, convexité des fonctions numériques . J. Math. Pures. Appl. , 49 : 109 – 154 .
- Rubinov , AM and Glover , BM . 1998 . Duality for increasing positively homogeneous functions and normal sets . Recherche opérationnelle/lOperations Research , 32 : 105 – 123 .
- Rubinov AM 2000 Abstract Convexity and Global Optimization, Kluwer Academic Publishers Boston-Dordrecht-London
- Rubinov , AM and Singer , I . 2001 . Topical and sub-topical functions, downward sets and abstract convexity . Optimization , 50 : 307 – 351 .
- Singer I 1997 Abstract Convex An alysis, Wiley-Interscience New York
- Singer , I . 2002 . Further applications of the additive min-type coupling function . Optimization , 51 : 471 – 485 .
- Zimmermann , K . 1979 . Extremally convex functions . Wiss. Z. Päd. Hochschule “N.K. Krupskaya” Halle , 17 : 3 – 7 .