메뉴 건너뛰기




Volumn 84, Issue 4, 2005, Pages 350-363

Convergence to common fixed points of a finite family of nonexpansive mappings

Author keywords

[No Author keywords available]

Indexed keywords


EID: 18244378514     PISSN: 0003889X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00013-004-1175-z     Document Type: Article
Times cited : (25)

References (16)
  • 1
    • 0000851440 scopus 로고    scopus 로고
    • Strong convergence theorems for a finite family of nonexpansive mappings and applications
    • B. N. Prasad birth centenary commemoration volume
    • S. ATSUSHIBA and W. TAKAHASHI, Strong convergence theorems for a finite family of nonexpansive mappings and applications. Indian J. Math. 41, 435-453 (1999), B. N. Prasad birth centenary commemoration volume.
    • (1999) Indian J. Math. , vol.41 , pp. 435-453
    • Atsushiba, S.1    Takahashi, W.2
  • 2
    • 0000983980 scopus 로고
    • Un théorème de type ergodique pour les contractions non linéaires dans un espace de Hilbert
    • J.-B. BAILLON, Un théorème de type ergodique pour les contractions non linéaires dans un espace de Hilbert. C. R. Acad. Sci. Paris Sér. A-B 280, A1511-A1514 (1975).
    • (1975) C. R. Acad. Sci. Paris Sér. A-B , vol.280
    • Baillon, J.-B.1
  • 3
    • 0030586523 scopus 로고    scopus 로고
    • The approximation of fixed points of compositions of nonexpansive mappings in Hilbert space
    • H. H. BAUSCHKE, The approximation of fixed points of compositions of nonexpansive mappings in Hilbert space. J. Math. Anal. Appl. 202, 150-159 (1996).
    • (1996) J. Math. Anal. Appl. , vol.202 , pp. 150-159
    • Bauschke, H.H.1
  • 4
    • 0001621448 scopus 로고
    • Properties of fixed-point sets of nonexpansive mappings in Banach spaces
    • R. E. BRUCK, JR., Properties of fixed-point sets of nonexpansive mappings in Banach spaces. Trans. Amer. Math. Soc. 179, 251-262 (1973).
    • (1973) Trans. Amer. Math. Soc. , vol.179 , pp. 251-262
    • Bruck Jr., R.E.1
  • 5
    • 84894234564 scopus 로고
    • Fixed points of nonexpanding maps
    • B. HALPERN, Fixed points of nonexpanding maps. Bull. Amer. Math. Soc. 73, 957-961 (1967).
    • (1967) Bull. Amer. Math. Soc. , vol.73 , pp. 957-961
    • Halpern, B.1
  • 6
    • 18244407467 scopus 로고
    • Ergodic theorems, de Gruyter
    • Berlin, with a supplement by Antoine Brunel
    • U. KRENGEL, Ergodic theorems, de Gruyter Stud. Math. Vol. 6, Berlin 1985, with a supplement by Antoine Brunel.
    • (1985) Stud. Math. , vol.6
    • Krengel, U.1
  • 7
    • 0000736340 scopus 로고
    • Approximation de points fixes de contractions
    • P.-L. LIONS, Approximation de points fixes de contractions. C. R. Acad. Sci. Paris Sér. A-B 284, A1357-A1359 (1977).
    • (1977) C. R. Acad. Sci. Paris Sér. A-B , vol.284
    • Lions, P.-L.1
  • 8
    • 33745998912 scopus 로고
    • Strong convergence theorems for resolvents of accretive operators, in Banach spaces
    • S. REICH, Strong convergence theorems for resolvents of accretive operators, in Banach spaces. J. Math. Anal. Appl. 75, 287-292 (1980).
    • (1980) J. Math. Anal. Appl. , vol.75 , pp. 287-292
    • Reich, S.1
  • 9
    • 0031172967 scopus 로고    scopus 로고
    • Strong convergence to common fixed points of families of nonexpansive mappings
    • T. SHIMIZU and W. TAKAHASHI, Strong convergence to common fixed points of families of nonexpansive mappings. J. Math. Anal. Appl. 211, 71-83 (1997).
    • (1997) J. Math. Anal. Appl. , vol.211 , pp. 71-83
    • Shimizu, T.1    Takahashi, W.2
  • 10
    • 21944452074 scopus 로고    scopus 로고
    • Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces
    • N. SHIOJI and W. TAKAHASHI, Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces. Proc. Amer. Math. Soc. 125, 3641-3645 (1997).
    • (1997) Proc. Amer. Math. Soc. , vol.125 , pp. 3641-3645
    • Shioji, N.1    Takahashi, W.2
  • 12
    • 18244392366 scopus 로고    scopus 로고
    • Approximation of common fixed points of a family of finite nonexpansive mappings in Banach spaces
    • W. TAKAHASHI, T. TAMURA and M. TOYODA, Approximation of common fixed points of a family of finite nonexpansive mappings in Banach spaces. Sci. Math. Japon. 56, 475-480 (2002).
    • (2002) Sci. Math. Japon. , vol.56 , pp. 475-480
    • Takahashi, W.1    Tamura, T.2    Toyoda, M.3
  • 13
    • 0001256926 scopus 로고
    • On Reich's strong convergence theorems for resolvents of accretive operators
    • W. TAKAHASHI and Y. UEDA, On Reich's strong convergence theorems for resolvents of accretive operators. J. Math. Anal. Appl. 104, 546-553 (1984).
    • (1984) J. Math. Anal. Appl. , vol.104 , pp. 546-553
    • Takahashi, W.1    Ueda, Y.2
  • 14
    • 0002286325 scopus 로고
    • Proof of the quasiergodic hypothesis
    • J. VON NEUMANN, Proof of the quasiergodic hypothesis. Proc. Nat. Acad. Sci. USA 18, 70-82 (1932).
    • (1932) Proc. Nat. Acad. Sci. USA , vol.18 , pp. 70-82
    • Von Neumann, J.1
  • 15
    • 0001682125 scopus 로고
    • Approximation of fixed points of nonexpansive mappings
    • R. WITTMANN, Approximation of fixed points of nonexpansive mappings. Arch. Math. (Basel) 58, 486-491 (1992).
    • (1992) Arch. Math. (Basel) , vol.58 , pp. 486-491
    • Wittmann, R.1
  • 16
    • 0036462968 scopus 로고    scopus 로고
    • Another control condition in an iterative method for nonexpansive mappings
    • H.-K. XU, Another control condition in an iterative method for nonexpansive mappings. Bull. Austral. Math. Soc. 65, 109-113 (2002).
    • (2002) Bull. Austral. Math. Soc. , vol.65 , pp. 109-113
    • Xu, H.-K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.