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Volumn 73, Issue 1, 2004, Pages 119-126

On the convergence of the Ishikawa iteration in the class of quasi contractive operators

Author keywords

Banach space; Convergence theorem; Fixed point; Ishikawa iteration; Quasi contraction

Indexed keywords


EID: 4043071272     PISSN: 08629544     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (104)

References (24)
  • 2
    • 4043119678 scopus 로고    scopus 로고
    • The picard iteration converges faster than mann iteration for a class of quasi-contractive operators
    • Berinde, V., The Picard iteration converges faster than Mann iteration for a class of quasi-contractive operators, Fixed Point Theory and Applications 1 (2004), 1-9.
    • (2004) Fixed Point Theory and Applications , vol.1 , pp. 1-9
    • Berinde, V.1
  • 4
    • 0002747662 scopus 로고
    • Nonlinear operators and nonlinear equations of evolution in Banach spaces
    • Amer. Math. Soc., Providence, R. I.
    • Browder, F. E., Nonlinear operators and nonlinear equations of evolution in Banach spaces Proc. Sympos. Pure Math. 18, (2), Amer. Math. Soc., Providence, R. I., 1976.
    • (1976) Proc. Sympos. Pure Math. , vol.18 , Issue.2
    • Browder, F.E.1
  • 5
    • 0000827660 scopus 로고
    • Construction of fixed points of nonlinear mappings in Hilbert spaces
    • Browder, F. E. and Petryshyn, W. V., Construction of fixed points of nonlinear mappings in Hilbert spaces J. Math. Anal. Appl. 20 (1967), 197-228.
    • (1967) J. Math. Anal. Appl. , vol.20 , pp. 197-228
    • Browder, F.E.1    Petryshyn, W.V.2
  • 7
    • 84966200050 scopus 로고
    • A generalization of banach's contraction principle
    • Ciric, Lj. B., A generalization of Banach's contraction principle, Proc. Am. Math. Soc. 45 (1974) 267-273.
    • (1974) Proc. Am. Math. Soc. , vol.45 , pp. 267-273
    • Ciric, Lj.B.1
  • 8
    • 0001604050 scopus 로고
    • A note on segmenting mann iterates
    • Groetsch, C. W., A note on segmenting Mann iterates J. Math. Anal. Appl. 40 (1972), 369-372.
    • (1972) J. Math. Anal. Appl. , vol.40 , pp. 369-372
    • Groetsch, C.W.1
  • 9
    • 0000441288 scopus 로고
    • Stability results for fixed point iteration procedures
    • Harder, A. M. and Hicks, T. L., Stability results for fixed point iteration procedures Math. Japonica 33 (5) (1988), 693-706.
    • (1988) Math. Japonica , vol.33 , Issue.5 , pp. 693-706
    • Harder, A.M.1    Hicks, T.L.2
  • 10
    • 84968476637 scopus 로고
    • Fixed points by a new iteration method
    • Ishikawa, S., Fixed points by a new iteration method Proc. Amer. Math. Soc. 44 (1) (1974), 147-150.
    • (1974) Proc. Amer. Math. Soc. , vol.44 , Issue.1 , pp. 147-150
    • Ishikawa, S.1
  • 11
    • 0002967221 scopus 로고
    • Some results on fixed points
    • Kannan, R. Some results on fixed points, Bull. Calcutta Math. Soc. 10 (1968), 71-76.
    • (1968) Bull. Calcutta Math. Soc. , vol.10 , pp. 71-76
    • Kannan, R.1
  • 12
    • 4043059960 scopus 로고
    • Some results on fixed points
    • _, Some results on fixed points. III Fund. Math. 70 (1971), 169-177.
    • (1971) III Fund. Math. , vol.70 , pp. 169-177
  • 13
    • 4043171921 scopus 로고
    • Construction of fixed points of a class of nonlinear mappings
    • _, Construction of fixed points of a class of nonlinear mappings J. Math. Anal. Appl. 41 (1973), 430-438.
    • (1973) J. Math. Anal. Appl. , vol.41 , pp. 430-438
  • 15
    • 0001188942 scopus 로고
    • Two remarks on the method of successive approximations (Russian)
    • Krasnoselskij, M. A., Two remarks on the method of successive approximations (Russian) Uspehi Mat. Nauk. 10 (1955), no. 1 (63), 123-127.
    • (1955) Uspehi Mat. Nauk. , vol.10 , Issue.1-63 , pp. 123-127
    • Krasnoselskij, M.A.1
  • 16
    • 84968518052 scopus 로고
    • Mean value methods in iteration
    • Mann, W. R., Mean value methods in iteration Proc. Amer. Math. Soc. 44 (1953), 506-510.
    • (1953) Proc. Amer. Math. Soc. , vol.44 , pp. 506-510
    • Mann, W.R.1
  • 17
    • 84968483605 scopus 로고
    • Fixed point iterations using infinite matrices
    • Rhoades, B. E., Fixed point iterations using infinite matrices, Trans. Amer. Math. Soc. 196 (1974), 161-176.
    • (1974) Trans. Amer. Math. Soc. , vol.196 , pp. 161-176
    • Rhoades, B.E.1
  • 18
    • 0001578522 scopus 로고
    • Comments on two fixed point iteration methods
    • _, Comments on two fixed point iteration methods, J. Math. Anal. Appl. 56 (2) (1976), 741-750.
    • (1976) J. Math. Anal. Appl. , vol.56 , Issue.2 , pp. 741-750
  • 19
    • 84968491333 scopus 로고
    • A comparison of various definitions of contractive mappings
    • _, A comparison of various definitions of contractive mappings Trans. Amer. Math. Soc. 226 (1977), 257-290.
    • (1977) Trans. Amer. Math. Soc. , vol.226 , pp. 257-290
  • 20
    • 0011278638 scopus 로고
    • Contractive definitions revisited
    • _, Contractive definitions revisited, Contemporary Math. 21 (1983), 189-205.
    • (1983) Contemporary Math. , vol.21 , pp. 189-205
  • 21
    • 0041010793 scopus 로고
    • Contractive definitions and continuity
    • _, Contractive definitions and continuity, Contemporay Math., 72 (1988), 233-245.
    • (1988) Contemporay Math. , vol.72 , pp. 233-245
  • 24
    • 0009325646 scopus 로고
    • Fix point theorems in metric spaces
    • Zamfirescu, T., Fix point theorems in metric spaces Arch. Math. (Basel), 23 (1972), 292-298.
    • (1972) Arch. Math. (Basel) , vol.23 , pp. 292-298
    • Zamfirescu, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.