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Volumn 53, Issue 4, 2004, Pages 393-428

On radiant sets, downward sets, topical functions and sub-topical functions in lattice ordered groups

Author keywords

Abstract convexity; Continuous lattice; Downward set; Lattice ordered group; Radiant set; Sub topical function; Topical function

Indexed keywords


EID: 4444342514     PISSN: 02331934     EISSN: None     Source Type: Journal    
DOI: 10.1080/02331930412331282418     Document Type: Article
Times cited : (8)

References (17)
  • 1
    • 22844456367 scopus 로고    scopus 로고
    • Densities of idempotent measures and large deviations
    • M. Akian (1999). Densities of idempotent measures and large deviations. Trans. Amer. Math. Soc., 351, 4515-4543.
    • (1999) Trans. Amer. Math. Soc. , vol.351 , pp. 4515-4543
    • Akian, M.1
  • 2
    • 0347284247 scopus 로고    scopus 로고
    • Topologies on lattice ordered groups, separation from closed downward sets and conjugations of type Lau
    • M. Akian and J. Singer (2003). Topologies on lattice ordered groups, separation from closed downward sets and conjugations of type Lau. Optimization, 52, 629-672.
    • (2003) Optimization , vol.52 , pp. 629-672
    • Akian, M.1    Singer, J.2
  • 3
    • 84910707803 scopus 로고
    • Colloquium publications, American Mathematical Society, Providence
    • G. Birkhoff (1967). Lattice Theory, Vol. 25. Colloquium publications, American Mathematical Society, Providence.
    • (1967) Lattice Theory , vol.25
    • Birkhoff, G.1
  • 5
    • 0002969219 scopus 로고    scopus 로고
    • An introduction to idempotency
    • J. Gunawardena (Ed.). Cambridge University Press, Cambridge
    • J. Gunawardena (1998). An introduction to idempotency. In: J. Gunawardena (Ed.). Idempotency, pp. 1-49. Cambridge University Press, Cambridge.
    • (1998) Idempotency , pp. 1-49
    • Gunawardena, J.1
  • 6
    • 0004107217 scopus 로고
    • On the existence of cycle times for some non-expansive maps
    • Hewlett-Packard Labs
    • J. Gunawardena and M. Keane (1995). On the existence of cycle times for some non-expansive maps. Technical Report HPL-BRIMS-95-003, Hewlett-Packard Labs.
    • (1995) Technical Report , vol.HPL-BRIMS-95-003
    • Gunawardena, J.1    Keane, M.2
  • 10
    • 21944442413 scopus 로고    scopus 로고
    • On conjugations for functions with values in extensions of ordered groups
    • J.-E. Martínez-Legaz and I. Singer (1997). On conjugations for functions with values in extensions of ordered groups. Positivity, 1, 193-218.
    • (1997) Positivity , vol.1 , pp. 193-218
    • Martínez-Legaz, J.-E.1    Singer, I.2
  • 11
    • 0011283482 scopus 로고
    • Inf-convolution, sous-additivité, convexité des fonctions numériques
    • J.-J. Moreau (1970). Inf-convolution, sous-additivité, convexité des fonctions numériques. J. Math. Pures. Appl., 49, 109-154.
    • (1970) J. Math. Pures. Appl. , vol.49 , pp. 109-154
    • Moreau, J.-J.1
  • 12
    • 0001694150 scopus 로고    scopus 로고
    • Duality for increasing positively homogeneous functions and normal sets
    • A.M. Rubinov and B.M. Glover (1998). Duality for increasing positively homogeneous functions and normal sets. Recherche opérationnelle/ Operations Research, 32, 105-123.
    • (1998) Recherche Opérationnelle/Operations Research , vol.32 , pp. 105-123
    • Rubinov, A.M.1    Glover, B.M.2
  • 14
    • 0010810503 scopus 로고    scopus 로고
    • Topical and sub-topical functions, downward sets and abstract convexity
    • A.M. Rubinov and I. Singer (2001). Topical and sub-topical functions, downward sets and abstract convexity. Optimization 50, 307-351.
    • (2001) Optimization , vol.50 , pp. 307-351
    • Rubinov, A.M.1    Singer, I.2
  • 16
    • 0036623423 scopus 로고    scopus 로고
    • Further applications of the additive min-type coupling function
    • I. Singer (2002). Further applications of the additive min-type coupling function. Optimization, 51, 471-485.
    • (2002) Optimization , vol.51 , pp. 471-485
    • Singer, I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.