Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (4): 409-414.

• 论文 • 上一篇    下一篇

ITERATIVE APPROXIMATION OF THE SOLUTION OF A LOCALLY LIPSCHITZIAN EQUATION

邹保康   

  1. Tongji University, Shanghai
  • 收稿日期:1989-10-27 出版日期:1991-04-18 发布日期:1991-04-18

ITERATIVE APPROXIMATION OF THE SOLUTION OF A LOCALLY LIPSCHITZIAN EQUATION

Zou Bao-kang   

  1. Tongji University, Shanghai
  • Received:1989-10-27 Online:1991-04-18 Published:1991-04-18

摘要: Suppose X=Lp(orlp), p>2, T:D(T)→X is a locally Lipschitzian and strictly accretive operator.In this paper, the iterative approximation of the solution of nonlinear equation Tx=y is given and the iterative approximation of a fixed point of a locally Lipschitzian and strictly pseudo-contractive mapping is discussed.

关键词: locally Lipschitzian operator, accretiveness, iterative approximation, pseudo-contraction, normalized duality mapping

Abstract: Suppose X=Lp(orlp), p>2, T:D(T)→X is a locally Lipschitzian and strictly accretive operator.In this paper, the iterative approximation of the solution of nonlinear equation Tx=y is given and the iterative approximation of a fixed point of a locally Lipschitzian and strictly pseudo-contractive mapping is discussed.

Key words: locally Lipschitzian operator, accretiveness, iterative approximation, pseudo-contraction, normalized duality mapping

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