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Bulletin of the Australian Mathematical Society
Volumn 61, Issue 2, 2000, Pages 247-261
The Tarski-Kantorovitch principle and the theory of iterated function systems
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EID: 0034165035     PISSN: 00049727     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0004972700022243     Document Type: Article
Times cited : (26)
References (15)
  • 1
    • 0002000668 scopus 로고    scopus 로고
    • The contraction principle as a particular case of Kleene's fixed point theorem
    • A. Baranga, 'The contraction principle as a particular case of Kleene's fixed point theorem', Discrete Math. 98 (1998), 75-79.
    • (1998) Discrete Math. , vol.98 , pp. 75-79
    • Baranga, A.1
  • 5
    • 0003798198 scopus 로고
    • Polish Scientific Publishers, Warszawa
    • R. Engelking, General topology (Polish Scientific Publishers, Warszawa, 1977).
    • (1977) General Topology
    • Engelking, R.1
  • 6
    • 0002155864 scopus 로고
    • Self-similar sets as Tarski's fixed points
    • S. Hayashi, 'Self-similar sets as Tarski's fixed points', Publ. Res. Inst. Math. Sci. 21 (1985), 1059-1066.
    • (1985) Publ. Res. Inst. Math. Sci. , vol.21 , pp. 1059-1066
    • Hayashi, S.1
  • 7
    • 0001265433 scopus 로고
    • Fractals and self-similarity
    • J.E. Hutchinson, 'Fractals and self-similarity', Indiana Univ. Math. J. 30 (1981), 713-747.
    • (1981) Indiana Univ. Math. J. , vol.30 , pp. 713-747
    • Hutchinson, J.E.1
  • 8
    • 0039017006 scopus 로고    scopus 로고
    • Some consequences of the Tarski-Kantorovitch ordering theorem in metric fixed point theory
    • J. Jachymski, 'Some consequences of the Tarski-Kantorovitch ordering theorem in metric fixed point theory', Quaestiones Math. 21 (1998), 89-99.
    • (1998) Quaestiones Math. , vol.21 , pp. 89-99
    • Jachymski, J.1
  • 11
    • 0002544145 scopus 로고
    • Lower bound technique for Markov operators and iterated function systems
    • A. Lasota and J.A. Yorke, 'Lower bound technique for Markov operators and iterated function systems', Random Comput. Dynamics 2 (1994), 41-77.
    • (1994) Random Comput. Dynamics , vol.2 , pp. 41-77
    • Lasota, A.1    Yorke, J.A.2
  • 12
    • 84966222072 scopus 로고
    • Uniformly contractive fixed points in compact metric spaces
    • S. Leader, 'Uniformly contractive fixed points in compact metric spaces', Proc. Amer. Math. Soc. 86 (1982), 153-158.
    • (1982) Proc. Amer. Math. Soc. , vol.86 , pp. 153-158
    • Leader, S.1
  • 13
    • 0002301227 scopus 로고
    • Self-reference and fixed points: A discussion and an extension of Lawvere's theorem
    • J. Soto-Andrade and F.J. Varela, 'Self-reference and fixed points: a discussion and an extension of Lawvere's theorem', Ada Appl. Math. 2 (1984), 1-19.
    • (1984) Ada Appl. Math. , vol.2 , pp. 1-19
    • Soto-Andrade, J.1    Varela, F.J.2
  • 14
    • 51249188674 scopus 로고
    • Composition of contractions
    • R.F. Williams, 'Composition of contractions', Bol. Soc. Brasil. Mat. 2 (1971), 55-59.
    • (1971) Bol. Soc. Brasil. Mat. , vol.2 , pp. 55-59
    • Williams, R.F.1
  • 15
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    • Constructing metrics with the Heine-Borel property
    • R. Williamson and L. Janos, 'Constructing metrics with the Heine-Borel property', Proc. Amer. Math. Soc. 100 (1987), 567-573.
    • (1987) Proc. Amer. Math. Soc. , vol.100 , pp. 567-573
    • Williamson, R.1    Janos, L.2

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.