메뉴 건너뛰기




Volumn 140, Issue 1, 2006, Pages 157-176

Iteration of order preserving subhomogeneous maps on a cone

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33244466507     PISSN: 03050041     EISSN: 14698064     Source Type: Journal    
DOI: 10.1017/S0305004105008832     Document Type: Article
Times cited : (27)

References (35)
  • 1
    • 0037209823 scopus 로고    scopus 로고
    • Spectral theorem for convex monotone homogeneous maps, and ergodic control
    • M. AKIAN and S. GAUBERT. Spectral theorem for convex monotone homogeneous maps, and ergodic control. Nonlinear Anal. 52(2) (2003), 637-679.
    • (2003) Nonlinear Anal. , vol.52 , Issue.2 , pp. 637-679
    • Akian, M.1    Gaubert, S.2
  • 3
    • 84972518419 scopus 로고
    • The part metric in convex sets
    • H. BAUER and H. S. BEAR. The part metric in convex sets. Pacific J. Math. 30(1) (1969), 15-33.
    • (1969) Pacific J. Math. , vol.30 , Issue.1 , pp. 15-33
    • Bauer, H.1    Bear, H.S.2
  • 6
  • 8
    • 0015744267 scopus 로고
    • Hilbert's metric and positive contraction mappings in a Banach space
    • P. BUSHELL. Hilbert's metric and positive contraction mappings in a Banach space. Arch. Rat. Mech. Anal. 52 (1973), 330-338.
    • (1973) Arch. Rat. Mech. Anal. , vol.52 , pp. 330-338
    • Bushell, P.1
  • 9
    • 84966243152 scopus 로고
    • Some relations between nonexpansive and order preserving mappings
    • M. G. CRANDALL and L. TARTAR. Some relations between nonexpansive and order preserving mappings. Proc. Amer. Math. Soc. 78(3) (1980), 385-390.
    • (1980) Proc. Amer. Math. Soc. , vol.78 , Issue.3 , pp. 385-390
    • Crandall, M.G.1    Tartar, L.2
  • 10
    • 28044459172 scopus 로고
    • Dehnungen, Verkürzungen und Isometrien
    • H. FREUDENTHAL and W. HUREWICZ. Dehnungen, Verkürzungen und Isometrien. Fundamenta Math. 26 (1936), 120-122.
    • (1936) Fundamenta Math. , vol.26 , pp. 120-122
    • Freudenthal, H.1    Hurewicz, W.2
  • 11
    • 10044240177 scopus 로고    scopus 로고
    • The Perron - Frobenius theory for homogeneous, monotone functions
    • S. GAUBERT and J. GUNAWARDENA. The Perron - Frobenius theory for homogeneous, monotone functions. Trans. Amer. Math. Soc. 356(12) (2004), 4931-4950.
    • (2004) Trans. Amer. Math. Soc. , vol.356 , Issue.12 , pp. 4931-4950
    • Gaubert, S.1    Gunawardena, J.2
  • 12
    • 0003979673 scopus 로고    scopus 로고
    • J. GUNAWARDENA (ed.). Publ. Newton Inst., (Cambridge University Press)
    • J. GUNAWARDENA (ed.). Idempotency. Publ. Newton Inst., 11 (Cambridge University Press, 1998).
    • (1998) Idempotency , vol.11
  • 13
    • 0037415382 scopus 로고    scopus 로고
    • From max-plus algebra to nonexpansive mappings: A nonlinear theory for discrete event systems
    • J. GUNAWARDENA. From max-plus algebra to nonexpansive mappings: a nonlinear theory for discrete event systems. Theoret. Comput. Sci. 293(1) (2003), 141-167.
    • (2003) Theoret. Comput. Sci. , vol.293 , Issue.1 , pp. 141-167
    • Gunawardena, J.1
  • 14
    • 0004107217 scopus 로고
    • On the existence of cycle times for some nonexpansive maps
    • Hewlett-Packard Labs
    • J. GUNAWARDENA and M. S. KEANE. On the existence of cycle times for some nonexpansive maps. Technical Report HPL-BRIMS-95-003, Hewlett-Packard Labs (1995).
    • (1995) Technical Report HPL-BRIMS-95-003
    • Gunawardena, J.1    Keane, M.S.2
  • 15
    • 0013080773 scopus 로고
    • Positive equilibria and convergence in subhornogeneous monotone dynamics
    • (X. Liu and D. Siegel ed.), Lecture Notes in Pure and Appl. Math. (Dekker)
    • M. W. HIRSCH. Positive equilibria and convergence in subhornogeneous monotone dynamics. In Comparison Methods and Stability Theory (X. Liu and D. Siegel ed.), pp. 169-188, Lecture Notes in Pure and Appl. Math. 162 (Dekker, 1994).
    • (1994) Comparison Methods and Stability Theory , vol.162 , pp. 169-188
    • Hirsch, M.W.1
  • 16
    • 21844518538 scopus 로고    scopus 로고
    • Sublinear discrete-time order-preserving dynamical systems
    • J. F. JIANG. Sublinear discrete-time order-preserving dynamical systems. Math. Proc. Camb. Phil. Soc. 119(3) (1996), 561-574.
    • (1996) Math. Proc. Camb. Phil. Soc. , vol.119 , Issue.3 , pp. 561-574
    • Jiang, J.F.1
  • 18
    • 38249003751 scopus 로고
    • A limit set trichotomy for self-mappings of normal cones in Banach spaces
    • U. KRAUSE and R. D. NUSSBAUM. A limit set trichotomy for self-mappings of normal cones in Banach spaces. Nonlinear Anal. 20(7) (1993), 855-870.
    • (1993) Nonlinear Anal. , vol.20 , Issue.7 , pp. 855-870
    • Krause, U.1    Nussbaum, R.D.2
  • 19
    • 0001015904 scopus 로고
    • A limit set trichotomy for monotone nonlinear dynamical systems
    • U. KRAUSE and P. RANFT. A limit set trichotomy for monotone nonlinear dynamical systems. Nonlinear Anal. 19(4) (1992), 375-392.
    • (1992) Nonlinear Anal. , vol.19 , Issue.4 , pp. 375-392
    • Krause, U.1    Ranft, P.2
  • 20
    • 19844367605 scopus 로고    scopus 로고
    • On the dynamics of sup-norm nonexpansive maps
    • B. LEMMENS and M. SCHEUTZOW. On the dynamics of sup-norm nonexpansive maps. Ergodic Theory Dynam. Systems 25 (3) (2005), 861-871.
    • (2005) Ergodic Theory Dynam. Systems , vol.25 , Issue.3 , pp. 861-871
    • Lemmens, B.1    Scheutzow, M.2
  • 21
    • 0001964763 scopus 로고
    • On transitive and commutative finite groups of isometries
    • (K.-K. Tan ed.), (World Scientific)
    • R. LYONS and R. D. NUSSBAUM. On transitive and commutative finite groups of isometries. In xFixed Point Theory and Applications (K.-K. Tan ed.), pp. 189-228 (World Scientific, 1992).
    • (1992) XFixed Point Theory and Applications , pp. 189-228
    • Lyons, R.1    Nussbaum, R.D.2
  • 23
    • 84858542369 scopus 로고
    • V. P. MASLOV and S. N. SAMBORSKIǏ (ed.). Advances in Soviet Mathematics, (American Mathematical Society)
    • V. P. MASLOV and S. N. SAMBORSKIǏ (ed.). Idempotent Analysis. Advances in Soviet Mathematics, 13 (American Mathematical Society, 1992).
    • (1992) Idempotent Analysis , vol.13
  • 24
    • 33244471150 scopus 로고    scopus 로고
    • A. NEYMAN and S. SORIN (ed.). Proceedings of the Nato Advanced Study Institute held in Stony Brook, NY, July 7-17, NATO Science Series C: Mathematical and Physical Sciences, (Kluwer Academic Publishers, 2003)
    • A. NEYMAN and S. SORIN (ed.). Stochastic Games and Applications. Proceedings of the Nato Advanced Study Institute held in Stony Brook, NY, July 7-17, 1999. NATO Science Series C: Mathematical and Physical Sciences, 570 (Kluwer Academic Publishers, 2003).
    • (1999) Stochastic Games and Applications , vol.570
  • 25
    • 0001338184 scopus 로고
    • Hilbert's projective metric and iterated nonlinear maps
    • R. D. NUSSBAUM. Hilbert's projective metric and iterated nonlinear maps. Mem. Amer. Math. Soc. 75(391) (1988), 1-137.
    • (1988) Mem. Amer. Math. Soc. , vol.75 , Issue.391 , pp. 1-137
    • Nussbaum, R.D.1
  • 26
    • 0001146015 scopus 로고
    • Iterated nonlinear maps and Hilbert's projective metric II
    • R. D. NUSSBAUM. Iterated nonlinear maps and Hilbert's projective metric II. Mem. Amer. Math. Soc. 79(401) (1989), 1-118.
    • (1989) Mem. Amer. Math. Soc. , vol.79 , Issue.401 , pp. 1-118
    • Nussbaum, R.D.1
  • 27
    • 84972533581 scopus 로고
    • Omega limit sets of nonexpansive maps: Finiteness and cardinality estimates
    • R. D. NUSSBAUM. Omega limit sets of nonexpansive maps: finiteness and cardinality estimates. Differential Integral Equations 3(3) (1990), 523-540.
    • (1990) Differential Integral Equations , vol.3 , Issue.3 , pp. 523-540
    • Nussbaum, R.D.1
  • 28
    • 0000653784 scopus 로고
    • Convergence of iterates of a nonlinear operator arising in statistical mechanics
    • R. D. NUSSBAUM. Convergence of iterates of a nonlinear operator arising in statistical mechanics. Nonlinearity 4(4) (1991), 1223-1240.
    • (1991) Nonlinearity , vol.4 , Issue.4 , pp. 1223-1240
    • Nussbaum, R.D.1
  • 29
    • 0035652379 scopus 로고    scopus 로고
    • An operator approach to zero-sum repeated games
    • D. ROSENBERG and S. SORIN. An operator approach to zero-sum repeated games. Israel J. Math. 121 (2001), 221-246.
    • (2001) Israel J. Math. , vol.121 , pp. 221-246
    • Rosenberg, D.1    Sorin, S.2
  • 31
    • 84966212618 scopus 로고
    • A nonlinear Perron-frobenius theorem
    • R. SINE. A nonlinear Perron-Frobenius theorem. Proc. Amer. Math. Soc. 109(2) (1990), 331-336.
    • (1990) Proc. Amer. Math. Soc. , vol.109 , Issue.2 , pp. 331-336
    • Sine, R.1
  • 32
    • 0001940401 scopus 로고
    • Asymptotic behavior of discrete-time semigroups of sublinear, strongly increasing mappings with applications to biology
    • P. TAKÁČ. Asymptotic behavior of discrete-time semigroups of sublinear, strongly increasing mappings with applications to biology. Nonlinear Anal. 14(1) (1990), 35-42.
    • (1990) Nonlinear Anal. , vol.14 , Issue.1 , pp. 35-42
    • Takáč, P.1
  • 33
    • 0030174748 scopus 로고    scopus 로고
    • Convergence in the part metric for discrete dynamical systems in ordered topological cones
    • P. TAKÁČ. Convergence in the part metric for discrete dynamical systems in ordered topological cones. Nonlinear Anal. 26(11) (1996), 1753-1777.
    • (1996) Nonlinear Anal. , vol.26 , Issue.11 , pp. 1753-1777
    • Takáč, P.1
  • 34
    • 84966219504 scopus 로고
    • On certain contraction mappings in a partially ordered vector space
    • A. C. THOMPSON. On certain contraction mappings in a partially ordered vector space. Proc. Amer. Math. Soc. 14 (1963), 438-443.
    • (1963) Proc. Amer. Math. Soc. , vol.14 , pp. 438-443
    • Thompson, A.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.