Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (12): 1458-1467.

• 论文 • 上一篇    下一篇

ITERATIVE PROCESS FOR CERTAIN NONLINEAR MAPPINGS WITH LIPSCHITZ CONDITION

谷峰   

  1. Department of Mathematics, Qiqihar University, Qiqihar, Heilongjiang 161006, P. R. China
  • 收稿日期:1999-09-17 修回日期:2001-05-31 出版日期:2001-12-18 发布日期:2001-12-18

ITERATIVE PROCESS FOR CERTAIN NONLINEAR MAPPINGS WITH LIPSCHITZ CONDITION

GU Feng   

  1. Department of Mathematics, Qiqihar University, Qiqihar, Heilongjiang 161006, P. R. China
  • Received:1999-09-17 Revised:2001-05-31 Online:2001-12-18 Published:2001-12-18

摘要: Using the new analysis techniques, the problem of iterative approximation of solutions of the equation for Lipschitz Φ-strongly accretive operators and of fixed points for Lipschitz Φ-strongly pseudo-contractive mappings are discussed. The main results of this paper improve and extend the corresponding results obtained by Chang, Chidume, Deng, Ding, Tan-Xu and Osilike.

Abstract: Using the new analysis techniques, the problem of iterative approximation of solutions of the equation for Lipschitz Φ-strongly accretive operators and of fixed points for Lipschitz Φ-strongly pseudo-contractive mappings are discussed. The main results of this paper improve and extend the corresponding results obtained by Chang, Chidume, Deng, Ding, Tan-Xu and Osilike.

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