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ISHIKAWA ITERATIVE PROCEDURE FOR APPROXIMATING FIXED POINTS OF STRICTLY PSEUDOCONTRACTIVE MAPPINGS 被引量:3

ISHIKAWA ITERATIVE PROCEDURE FOR APPROXIMATING FIXED POINTS OF STRICTLY PSEUDOCONTRACTIVE MAPPINGS
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摘要 It is shown that any fixed point of a Lipschitzian,strictly pseudocontractive muping T on a closed convex subset K of a Banach space X may be approximated by Ishikawa iterative procedure.The results in this paper provide the new convergence criteria and novel convergence rate estimate for Ishikawa iterative sequence. It is shown that any fixed point of a Lipschitzian,strictly pseudocontractive muping T on a closed convex subset K of a Banach space X may be approximated by Ishikawa iterative procedure.The results in this paper provide the new convergence criteria and novel convergence rate estimate for Ishikawa iterative sequence.
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2003年第3期283-286,共4页 高校应用数学学报(英文版)(B辑)
基金 Supported by the Teaching and Research Award Fund for Outstanding Young Teachers in Higher Ed-ucation Institutions of MOE,P.R.C.
关键词 fixed point arbitrary Banach space Lipschitzian strictly pseudocontractive mapping Ishikawa iterative procedure fixed point,arbitrary Banach space,Lipschitzian strictly pseudocontractive mapping,Ishikawa iterative procedure
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  • 1Liwei Liu. Approximation of fixed points of a strictly pseudocontractive mapping [J ]. Proc. Amer.Math. Soc. 1997,125:1363~1366.
  • 2Sastry K P R and Babu G V R. Approximation of fixed points of strictly pseudocontractive mappings on arbitrary closed, convex sets in a Banach space[J]. Proc. Amer. Math. Soc. 2000,128:2907~2909.

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