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Volumn 143, Issue 1, 2007, Pages 157-164

A Denjoy-Wolff theorem for Hilbert metric nonexpansive maps on polyhedral domains

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EID: 34547510767     PISSN: 03050041     EISSN: 14698064     Source Type: Journal    
DOI: 10.1017/S0305004107000199     Document Type: Article
Times cited : (12)

References (17)
  • 2
    • 84960599981 scopus 로고
    • Iteration of contractions and analytic maps
    • A. F. BEARDON. Iteration of contractions and analytic maps. J. London Math. Soc. 41 (1990), 141-150.
    • (1990) J. London Math. Soc , vol.41 , pp. 141-150
    • BEARDON, A.F.1
  • 4
    • 84968468977 scopus 로고
    • Extensions of Jentzsch's theorems
    • G. BIRKHOFF. Extensions of Jentzsch's theorems. Trans. Amer. Math. Soc. 85 (1957), 219-227.
    • (1957) Trans. Amer. Math. Soc , vol.85 , pp. 219-227
    • BIRKHOFF, G.1
  • 5
    • 0002154729 scopus 로고
    • Linear operators in complete positive cones
    • F. F. BONSALL. Linear operators in complete positive cones. Proc. London Math Soc. 8 (1958), 53-75.
    • (1958) Proc. London Math Soc , vol.8 , pp. 53-75
    • BONSALL, F.F.1
  • 6
    • 84973945449 scopus 로고
    • Applications of the Birkhoff-Hopf theorem to the spectral theory of positive linear operators
    • S. P. EVESON and R. D. NUSSBAUM. Applications of the Birkhoff-Hopf theorem to the spectral theory of positive linear operators. Math. Proc. Camb. Phil. Soc. 117 (1995), 491-512.
    • (1995) Math. Proc. Camb. Phil. Soc , vol.117 , pp. 491-512
    • EVESON, S.P.1    NUSSBAUM, R.D.2
  • 7
    • 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 (2003), 141-167.
    • (2003) Theoret. Comput. Sci , vol.293 , pp. 141-167
    • GUNAWARDENA, J.1
  • 8
    • 0035597126 scopus 로고    scopus 로고
    • Non-expanding maps and Busemann functions
    • A. KARLSSON. Non-expanding maps and Busemann functions. Ergodic Theory Dynam. Systems 21 (2001), 1447-1457.
    • (2001) Ergodic Theory Dynam. Systems , vol.21 , pp. 1447-1457
    • KARLSSON, A.1
  • 9
    • 0142039837 scopus 로고    scopus 로고
    • The Hilbert metric and Gromov hyperbolicky
    • A. KARLSSON and G. NOSKOV. The Hilbert metric and Gromov hyperbolicky. Enseign. Math. 48 (2002), 73-89.
    • (2002) Enseign. Math , vol.48 , pp. 73-89
    • KARLSSON, A.1    NOSKOV, G.2
  • 11
    • 33646932747 scopus 로고    scopus 로고
    • Iterated linear maps on a cone and Denjoy-Wolff theorems
    • B. LINS and R. D. NUSSBAUM. Iterated linear maps on a cone and Denjoy-Wolff theorems. Linear Algebra Appl. 416(2006), 615-626.
    • (2006) Linear Algebra Appl , vol.416 , pp. 615-626
    • LINS, B.1    NUSSBAUM, R.D.2
  • 12
    • 0010780407 scopus 로고
    • Hilbert's projective metric on cones of Dirichlet forms
    • V. METZ. Hilbert's projective metric on cones of Dirichlet forms. J. Funct. Anal. 127 (1995), 438-455.
    • (1995) J. Funct. Anal , vol.127 , pp. 438-455
    • METZ, V.1
  • 13
    • 0001338186 scopus 로고
    • Iterated nonlinear maps and Hilbert's projective metric
    • R. D. NUSSBAUM. Iterated nonlinear maps and Hilbert's projective metric. Mem. Amer. Math. Soc. 75 (1988).
    • (1988) Mem. Amer. Math. Soc , vol.75
    • NUSSBAUM, R.D.1
  • 14
    • 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 (1989).
    • (1989) Mem. Amer. Math. Soc , vol.79
    • NUSSBAUM, R.D.1
  • 15
    • 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 (1990), 523-540.
    • (1990) Differential Integral Equations , vol.3 , pp. 523-540
    • NUSSBAUM, R.D.1
  • 16
    • 34547514009 scopus 로고    scopus 로고
    • Fixed point theorems and Denjoy-Wolff theorems for Hilbert's projective metric in infinite dimensions
    • To appear in
    • R. D. NUSSBAUM. Fixed point theorems and Denjoy-Wolff theorems for Hilbert's projective metric in infinite dimensions. To appear in Topol. Methods Nonlinear Anal.
    • Topol. Methods Nonlinear Anal
    • NUSSBAUM, R.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.