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Volumn 213, Issue 2, 1997, Pages 723-725

A counterexample to a theorem of Xu

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ITERATIVE METHODS;

EID: 0031220834     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5575     Document Type: Article
Times cited : (6)

References (11)
  • 1
    • 34247596473 scopus 로고
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    • (1988) Appl. Anal. , vol.27 , pp. 19-26
    • Chidume, C.E.1
  • 2
    • 84966200050 scopus 로고
    • A generalization of Banach's contraction principle
    • 2. L. B. Ćirić, A generalization of Banach's contraction principle, Proc. Amer. Math. Soc. 45 (1974), 267-273.
    • (1974) Proc. Amer. Math. Soc. , vol.45 , pp. 267-273
    • Ćirić, L.B.1
  • 3
    • 84968476637 scopus 로고
    • Fixed points by a new iteration method
    • 3. S. Ishikawa, Fixed points by a new iteration method, Proc. Amer. Math. Soc. 44 (1974), 147-150.
    • (1974) Proc. Amer. Math. Soc. , vol.44 , pp. 147-150
    • Ishikawa, S.1
  • 4
    • 84968518052 scopus 로고
    • Mean value methods in iteration
    • 4. W. R. Mann, Mean value methods in iteration, Proc. Amer. Math. Soc. 4 (1953), 506-510.
    • (1953) Proc. Amer. Math. Soc. , vol.4 , pp. 506-510
    • Mann, W.R.1
  • 5
    • 0001692730 scopus 로고
    • Extensions of some fixed point theorems of Rhoades
    • 5. S. Naimpally and K. L. Singh, Extensions of some fixed point theorems of Rhoades, J. Math. Anal. Appl. 96 (1983), 437-446.
    • (1983) J. Math. Anal. Appl. , vol.96 , pp. 437-446
    • Naimpally, S.1    Singh, K.L.2
  • 6
    • 45949118396 scopus 로고
    • On Naimpally and Singh's open questions
    • 6. L. Qihou, On Naimpally and Singh's open questions, J. Math. Anal. Appl. 124 (1987), 159-164.
    • (1987) J. Math. Anal. Appl. , vol.124 , pp. 159-164
    • Qihou, L.1
  • 7
    • 0025399019 scopus 로고
    • A convergence theorem of the sequence of Ishikawa iterates for quasi-contractive mappings
    • 7. L. Qihou, A convergence theorem of the sequence of Ishikawa iterates for quasi-contractive mappings, J. Math. Anal. Appl. 146 (1990), 301-305.
    • (1990) J. Math. Anal. Appl. , vol.146 , pp. 301-305
    • Qihou, L.1
  • 8
    • 84968483605 scopus 로고
    • Fixed point iterations using infinite matrices
    • 8. B. E. Rhoades, 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
  • 9
    • 0001578522 scopus 로고
    • Comments on two fixed point iteration methods
    • 9. B. E. Rhoades, Comments on two fixed point iteration methods, J. Math. Anal. Appl. 56 (1976), 741-750.
    • (1976) J. Math. Anal. Appl. , vol.56 , pp. 741-750
    • Rhoades, B.E.1
  • 10
    • 0000007634 scopus 로고
    • Convergence of an Ishikawa-type iteration scheme for a generalized contraction
    • 10. B. E. Rhoades, Convergence of an Ishikawa-type iteration scheme for a generalized contraction, J. Math. Anal. Appl. 185 (1994), 350-355.
    • (1994) J. Math. Anal. Appl. , vol.185 , pp. 350-355
    • Rhoades, B.E.1
  • 11
    • 0001198816 scopus 로고
    • A note on the Ishikawa iteration scheme
    • 11. H.-K. Xu, A note on the Ishikawa iteration scheme, J. Math. Anal. Appl. 167 (1992), 582-587.
    • (1992) J. Math. Anal. Appl. , vol.167 , pp. 582-587
    • Xu, H.-K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.