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Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (1): 99-104.

• 论文 • 上一篇    下一篇

ITERATIVE APPROXIMATION WITH ERRORS OF FIXED POINT FOR A CLASS OF NONLINEAR OPERATOR WITH A BOUNDER RANGE

薛志群, 周海云   

  1. Department of Basic Science, Ordnance Engineering College, Shijiazhuang 050003, P. R. China
  • 收稿日期:1997-09-02 出版日期:1999-01-18 发布日期:1999-01-18

ITERATIVE APPROXIMATION WITH ERRORS OF FIXED POINT FOR A CLASS OF NONLINEAR OPERATOR WITH A BOUNDER RANGE

Xue Zhiqun, Zhou Haiyun   

  1. Department of Basic Science, Ordnance Engineering College, Shijiazhuang 050003, P. R. China
  • Received:1997-09-02 Online:1999-01-18 Published:1999-01-18

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摘要： Let X be a uniformly smooth real Banach space. Let T:X→X be a con-tinuous and strongly accretive operator. For a given f∈X,define S: X→X by Sx 1)satisfying: Moreover, suppose that {Sxn} and {Syn} are bounded, then {Xn} converges strongly to the unique fixed point of S.

Abstract: Let X be a uniformly smooth real Banach space. Let T:X→X be a con-tinuous and strongly accretive operator. For a given f∈X,define S: X→X by Sx 1)satisfying: Moreover, suppose that {Sxn} and {Syn} are bounded, then {Xn} converges strongly to the unique fixed point of S.

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