메뉴 건너뛰기




Volumn 129, Issue 8, 2001, Pages 2359-2363

An example on the mann iteration method for lipschitz pseudocontractions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 23044526412     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-01-06009-9     Document Type: Article
Times cited : (209)

References (12)
  • 1
    • 0000445928 scopus 로고
    • Nonexpansive nonlinear operators in a Banach space
    • MR 32:4574
    • F. E. Browder, Nonexpansive nonlinear operators in a Banach space, Proc. Nat. Acad. Sci. U.S.A. 54 (1965), 1041-1044. MR 32:4574
    • (1965) Proc. Nat. Acad. Sci. U.S.A. , vol.54 , pp. 1041-1044
    • Browder, F.E.1
  • 2
    • 0002208547 scopus 로고
    • Fixed point iterations for real functions
    • MR 92e:65065
    • D. Borwein and J.M. Borwein, Fixed point iterations for real functions, J. Math. Anal. Appl. 157 (1991), 112-126. MR 92e:65065
    • (1991) J. Math. Anal. Appl. , vol.157 , pp. 112-126
    • Borwein, D.1    Borwein, J.M.2
  • 3
    • 0033130717 scopus 로고    scopus 로고
    • The Mann and Ishikawa iterative approximation of solutions to variational inclusions with accretive type mappings
    • MR 2000g:47065
    • S. S. Chang, The Mann and Ishikawa iterative approximation of solutions to variational inclusions with accretive type mappings, Comput. Math. Appl. 37 (1999), no.9, 17-24. MR 2000g:47065
    • (1999) Comput. Math. Appl. , vol.37 , Issue.9 , pp. 17-24
    • Chang, S.S.1
  • 4
    • 22044443151 scopus 로고    scopus 로고
    • Global iteration schemes for strongly pseudo-contractive maps
    • MR 98k:47108
    • C. E. Chidume, Global iteration schemes for strongly pseudo-contractive maps, Proc. Amer. Math. Soc. (1998) Vol. 126, No 9, 2641-2649. MR 98k:47108
    • (1998) Proc. Amer. Math. Soc. , vol.126 , Issue.9 , pp. 2641-2649
    • Chidume, C.E.1
  • 5
    • 84979309102 scopus 로고
    • Zum Prinzip der kontraktiven Abbildungen
    • MR 32:8129
    • D. Göhde, Zum Prinzip der kontraktiven Abbildungen, Math. Nachr. 30 (1965), 251-258. MR 32:8129
    • (1965) Math. Nachr. , vol.30 , pp. 251-258
    • Göhde, D.1
  • 6
    • 0000595549 scopus 로고
    • On the Mann iteration process in Hilbert space
    • MR 58:23802
    • T. L. Hicks and J. R. Kubicek, On the Mann iteration process in Hilbert space, J. Math. Anal. Appl. 59 (1979), 498-504. MR 58:23802
    • (1979) J. Math. Anal. Appl. , vol.59 , pp. 498-504
    • Hicks, T.L.1    Kubicek, J.R.2
  • 7
    • 84968476637 scopus 로고
    • Fixed points by a new iteration method
    • MR 49:1243
    • S. Ishikawa, Fixed points by a new iteration method, Proc. Amor. Math. Soc. 44(1) (1974), 147-150. MR 49:1243
    • (1974) Proc. Amor. Math. Soc. , vol.44 , Issue.1 , pp. 147-150
    • Ishikawa, S.1
  • 8
    • 0001287604 scopus 로고
    • A fixed point theorem for mappings which do not increase distance
    • MR 32:6436
    • W. A. Kirk, A fixed point theorem for mappings which do not increase distance, Amer. Math. Monthly 72 (1965), 1004-1006. MR 32:6436
    • (1965) Amer. Math. Monthly , vol.72 , pp. 1004-1006
    • Kirk, W.A.1
  • 9
    • 0001188942 scopus 로고
    • Two observations about the method of succesive approximations
    • (Russian) MR 16:833a
    • M. A. Krasnoselski, Two observations about the method of succesive approximations, Uspehi Math. Nauk 10 (1955), no. 1, 123-127. (Russian) MR 16:833a
    • (1955) Uspehi Math. Nauk , vol.10 , Issue.1 , pp. 123-127
    • Krasnoselski, M.A.1
  • 10
    • 84968518052 scopus 로고
    • Mean value methods in iteration
    • MR 14:988f
    • W. R. Mann, Mean value methods in iteration, Proc. Amer. Math. Soc. 4 (1953), 506-510. MR 14:988f
    • (1953) Proc. Amer. Math. Soc. , vol.4 , pp. 506-510
    • Mann, W.R.1
  • 11
    • 38249016437 scopus 로고
    • The convergence theorems of the sequence of Ishikawa iterates for hemicontractive mappings
    • MR 92b:47094
    • Liu Qihou, The convergence theorems of the sequence of Ishikawa iterates for hemicontractive mappings, J. Math. Anal. Appl. 148 (1990), 55-62. MR 92b:47094
    • (1990) J. Math. Anal. Appl. , vol.148 , pp. 55-62
    • Qihou, L.1
  • 12
    • 0012953489 scopus 로고
    • Uber die Methode sukzessiver Approximationen
    • MR 18:811g
    • H. Schaefer, Uber die Methode sukzessiver Approximationen, Jber. Deutsch. Math. Verein. 59 (1957), 131-140. MR 18:811g
    • (1957) Jber. Deutsch. Math. Verein. , vol.59 , pp. 131-140
    • Schaefer, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.