Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (3): 282-289.

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ITERATIVE SOLUTION OF NONLINEAR EQUATIONS WITH STRONGLY ACCRETIVE OPERATORS IN BANACH SPACES

Zhou Haiyun   

  1. Department of Basic Science, Ordnance Engineering College, Shijiazhuang 050003, P. R. China
  • Received:1997-04-28 Revised:1998-04-05 Online:1999-03-18 Published:1999-03-18

Abstract: Let X be a real Banach space with a uniformly convex dual X*. Let T:X→X be a Lipschitzian and strongly accretive mapping with a Lipschitzian constant L≥1 and a strongly accretive constant k∈(0,1).

Key words: Ishikawa iteration with errors, strongly accretive mapping, hemicontractive mapping

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