메뉴 건너뛰기




Volumn 2003, Issue 8, 2003, Pages 449-477

Mann iterates of directionally nonexpansive mappings in hyperbolic spaces

Author keywords

[No Author keywords available]

Indexed keywords


EID: 11144357113     PISSN: 10853375     EISSN: None     Source Type: Journal    
DOI: 10.1155/S1085337503212021     Document Type: Article
Times cited : (35)

References (20)
  • 1
    • 0003638170 scopus 로고    scopus 로고
    • The rate of asymptotic regularity is O(1/n) [O(1/√n)]
    • Theory and Applications of Nonlinear Operators of Accretive and Monotone Type, Dekker, New York
    • J. Baillon and R. E. Bruck, The rate of asymptotic regularity is O(1/n) [O(1/√n)], Theory and Applications of Nonlinear Operators of Accretive and Monotone Type, Lecture Notes in Pure and Appl. Math., vol. 178, Dekker, New York, 1996, pp. 51-81.
    • (1996) Lecture Notes in Pure and Appl. Math. , vol.178 , pp. 51-81
    • Baillon, J.1    Bruck, R.E.2
  • 2
    • 0002633798 scopus 로고
    • Krasnosel'skiǐ-Mann iterations in normed spaces
    • J. Borwein, S. Reich, and I. Shafrir, Krasnosel'skiǐ-Mann iterations in normed spaces, Canad. Math. Bull. 35 (1992), no. 1, 21-28.
    • (1992) Canad. Math. Bull. , vol.35 , Issue.1 , pp. 21-28
    • Borwein, J.1    Reich, S.2    Shafrir, I.3
  • 3
    • 0000087385 scopus 로고
    • Nonexpansive mappings, asymptotic regularity and successive approximations
    • M. Edelstein and R. C. O'Brien, Nonexpansive mappings, asymptotic regularity and successive approximations, J. London Math. Soc. (2) 17 (1978), no. 3, 547-554.
    • (1978) J. London Math. Soc. (2) , vol.17 , Issue.3 , pp. 547-554
    • Edelstein, M.1    O'Brien, R.C.2
  • 4
    • 0001085656 scopus 로고
    • Iteration processes for nonexpansive mappings
    • Topological Methods in Nonlinear Functional Analysis (Toronto, Ont., 1982), American Mathematical Society, Rhode Island
    • K. Goebel and W. A. Kirk, Iteration processes for nonexpansive mappings, Topological Methods in Nonlinear Functional Analysis (Toronto, Ont., 1982), Contemp. Math., vol. 21, American Mathematical Society, Rhode Island, 1983, pp. 115-123.
    • (1983) Contemp. Math. , vol.21 , pp. 115-123
    • Goebel, K.1    Kirk, W.A.2
  • 6
    • 84968499765 scopus 로고
    • Fixed points and iteration of a nonexpansive mapping in a Banach space
    • S. Ishikawa, Fixed points and iteration of a nonexpansive mapping in a Banach space, Proc. Amer. Math. Soc. 59 (1976), no. 1, 65-71.
    • (1976) Proc. Amer. Math. Soc. , vol.59 , Issue.1 , pp. 65-71
    • Ishikawa, S.1
  • 7
    • 0019671007 scopus 로고
    • Krasnosel'skiǐ's iteration process in hyperbolic space
    • W. A. Kirk, Krasnosel'skiǐ's iteration process in hyperbolic space, Numer. Funct. Anal. Optim. 4 (1981/1982), no. 4, 371-381.
    • (1981) Numer. Funct. Anal. Optim. , vol.4 , Issue.4 , pp. 371-381
    • Kirk, W.A.1
  • 8
    • 0034172541 scopus 로고    scopus 로고
    • Nonexpansive mappings and asymptotic regularity
    • Ser. A: Theory Methods
    • _, Nonexpansive mappings and asymptotic regularity, Nonlinear Anal. 40 (2000), no. 1-8, Ser. A: Theory Methods, 323-332.
    • (2000) Nonlinear Anal. , vol.40 , Issue.1-8 , pp. 323-332
  • 9
    • 85041866494 scopus 로고    scopus 로고
    • Uniform asymptotic regularity for Mann iterates
    • to appear in
    • U. Kohlenbach, Uniform asymptotic regularity for Mann iterates, to appear in J. Math. Anal. Appl.
    • J. Math. Anal. Appl.
    • Kohlenbach, U.1
  • 10
    • 0001154964 scopus 로고    scopus 로고
    • Analysing proofs in analysis
    • (Staffordshire, 1993), Oxford Sci. Publ., Oxford University Press, New York
    • _, Analysing proofs in analysis, Logic: from Foundations to Applications (Staffordshire, 1993), Oxford Sci. Publ., Oxford University Press, New York, 1996, pp. 225-260.
    • (1996) Logic: From Foundations to Applications , pp. 225-260
  • 11
    • 0030300518 scopus 로고    scopus 로고
    • Mathematically strong subsystems of analysis with low rate of growth of provably recursive functionals
    • _, Mathematically strong subsystems of analysis with low rate of growth of provably recursive functionals, Arch. Math. Logic 36 (1996), no. 1, 31-71.
    • (1996) Arch. Math. Logic , vol.36 , Issue.1 , pp. 31-71
  • 12
    • 0000190786 scopus 로고    scopus 로고
    • Arithmetizing proofs in analysis
    • Logic Colloquium '96 (San Sebastián), Springer, Berlin
    • _, Arithmetizing proofs in analysis, Logic Colloquium '96 (San Sebastián), Lecture Notes Logic, vol. 12, Springer, Berlin, 1998, pp. 115-158.
    • (1998) Lecture Notes Logic , vol.12 , pp. 115-158
  • 13
    • 84974728199 scopus 로고    scopus 로고
    • On the computational content of the Krasnosel'Skiǐ Ishikawa fixed point theorems
    • Computability and Complexity in Analysis (Swansea, 2000), Springer, Berlin
    • _, On the computational content of the Krasnosel'skiǐ and Ishikawa fixed point theorems, Computability and Complexity in Analysis (Swansea, 2000), Lecture Notes in Comput. Sci., vol. 2064, Springer, Berlin, 2001, pp. 119-145.
    • (2001) Lecture Notes in Comput. Sci. , vol.2064 , pp. 119-145
  • 14
    • 0035416778 scopus 로고    scopus 로고
    • A quantitative version of a theorem due to Borwein-Reich-Shafrir
    • _, A quantitative version of a theorem due to Borwein-Reich-Shafrir, Numer. Funct. Anal. Optim. 22 (2001), no. 5-6, 641-656.
    • (2001) Numer. Funct. Anal. Optim. , vol.22 , Issue.5-6 , pp. 641-656
  • 15
    • 1842488549 scopus 로고    scopus 로고
    • Proof mining: A systematic way of analysing proofs in mathematics
    • to appear in
    • U. Kohlenbach and P. Oliva, Proof mining: a systematic way of analysing proofs in mathematics, to appear in Proc. Steklov Inst. Math.
    • Proc. Steklov Inst. Math.
    • Kohlenbach, U.1    Oliva, P.2
  • 16
    • 0001188942 scopus 로고
    • Two remarks on the method of successive approximations
    • (63), (Russian)
    • M. A. Krasnosel'skiǐ, Two remarks on the method of successive approximations, Uspehi Mat. Nauk (N.S.) 10 (1955), no. 1(63), 123-127 (Russian).
    • (1955) Uspehi Mat. Nauk (N.S.) , vol.10 , Issue.1 , pp. 123-127
    • Krasnosel'Skiǐ, M.A.1
  • 17
    • 0001145214 scopus 로고
    • The alternating algorithm of von Neumann in the Hilbert ball
    • S. Reich, The alternating algorithm of von Neumann in the Hilbert ball, Dynam. Systems Appl. 2 (1993), no. 1, 21-25.
    • (1993) Dynam. Systems Appl. , vol.2 , Issue.1 , pp. 21-25
    • Reich, S.1
  • 18
    • 0000333319 scopus 로고
    • Nonexpansive iterations in hyperbolic spaces
    • S. Reich and I. Shafrir, Nonexpansive iterations in hyperbolic spaces, Nonlinear Anal. 15 (1990), no. 6, 537-558.
    • (1990) Nonlinear Anal. , vol.15 , Issue.6 , pp. 537-558
    • Reich, S.1    Shafrir, I.2
  • 19
    • 1842540606 scopus 로고    scopus 로고
    • Generic aspects of metric fixed point theory
    • Kluwer Academic Publishers, Dordrecht
    • S. Reich and A. J. Zaslavski, Generic aspects of metric fixed point theory, Handbook of Metric Fixed Point Theory, Kluwer Academic Publishers, Dordrecht, 2001, pp. 557-575.
    • (2001) Handbook of Metric Fixed Point Theory , pp. 557-575
    • Reich, S.1    Zaslavski, A.J.2
  • 20
    • 84972573660 scopus 로고
    • A convexity in metric space and nonexpansive mappings
    • W. Takahashi, A convexity in metric space and nonexpansive mappings. I, Kōdai Math. Sem. Rep. 22 (1970), 142-149.
    • (1970) I, Kōdai Math. Sem. Rep. , vol.22 , pp. 142-149
    • Takahashi, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.