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Volumn 132, Issue 5, 2004, Pages 1435-1443

A fixed point theorem in partially ordered sets and some applications to matrix equations

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EID: 2142762916     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-03-07220-4     Document Type: Conference Paper
Times cited : (1337)

References (12)
  • 1
    • 51249183223 scopus 로고
    • Order-reversing maps and unique fixed points in complete lattices
    • MR 82i:06006
    • A. Björner, Order-reversing maps and unique fixed points in complete lattices, Algebra Universalis, 12:402-403, 1981. MR 82i:06006
    • (1981) Algebra Universalis , vol.12 , pp. 402-403
    • Björner, A.1
  • 2
    • 51249185593 scopus 로고
    • An extension and simple proof of a constrained lattice fixed point theorem
    • Erratum, ibid, 12:134, 1981. MR 80b:06009; MR 82c:06016
    • C. Blair and A. E. Roth, An extension and simple proof of a constrained lattice fixed point theorem, Algebra Universalis, 9:131-132, 1979. Erratum, ibid, 12:134, 1981. MR 80b:06009; MR 82c:06016
    • (1979) Algebra Universalis , vol.9 , pp. 131-132
    • Blair, C.1    Roth, A.E.2
  • 3
    • 0036018627 scopus 로고    scopus 로고
    • On an iteration method for solving a class of nonlinear matrix equations
    • MR 2002m:15023
    • S. M. El-Sayed and A. C. M. Ran, On an iteration method for solving a class of nonlinear matrix equations, SIAM J. Matrix Anal. Appl., 23:632-645, 2002. MR 2002m:15023
    • (2002) SIAM J. Matrix Anal. Appl. , vol.23 , pp. 632-645
    • El-Sayed, S.M.1    Ran, A.C.M.2
  • 5
    • 0004151494 scopus 로고
    • Cambridge University Press, Cambridge. MR 87e:15001
    • R. A. Horn and C. R. Johnson, Matrix Analysis, Cambridge University Press, Cambridge, 1985. MR 87e:15001
    • (1985) Matrix Analysis
    • Horn, R.A.1    Johnson, C.R.2
  • 9
  • 11
    • 0642296091 scopus 로고
    • Positive Operators and an Inertia Theorem
    • MR 30:3888
    • H. Schneider, Positive Operators and an Inertia Theorem, Numerische Mathematik 7:11-17, 1965. MR 30:3888
    • (1965) Numerische Mathematik , vol.7 , pp. 11-17
    • Schneider, H.1
  • 12
    • 84972541021 scopus 로고
    • A lattice-theoretical fixpoint theorem and its applications
    • MR 17:574d
    • A. Tarski, A lattice-theoretical fixpoint theorem and its applications, Pacific Journal of Math. 5:285-309, 1955. MR 17:574d
    • (1955) Pacific Journal of Math. , vol.5 , pp. 285-309
    • Tarski, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.