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Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (11): 1291-1296.

• 论文 • 上一篇    下一篇

QUASI-WEAK CONVERGENCE WITH APPLICATIONS IN ORDERED BANACH SPACE

杨光崇   

  1. Basic Department of Chengdu Institute of Meteorology, Chengdu 610041, P. R. China
  • 收稿日期:1998-02-16 修回日期:1999-05-11 出版日期:1999-11-18 发布日期:1999-11-18

QUASI-WEAK CONVERGENCE WITH APPLICATIONS IN ORDERED BANACH SPACE

Yang Guangchong   

  1. Basic Department of Chengdu Institute of Meteorology, Chengdu 610041, P. R. China
  • Received:1998-02-16 Revised:1999-05-11 Online:1999-11-18 Published:1999-11-18

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摘要： In the paper quasi-weak convergence is introduced in ordered Banach space and it is weaker than weak convergence. Besed on it, the fixed point existence theorem of increasing operator is proved without the suppose of continuity and compactness in the sense of norm and weak compactness and is applied to the Hammerstein nonlinear intergal equation.

Abstract: In the paper quasi-weak convergence is introduced in ordered Banach space and it is weaker than weak convergence. Besed on it, the fixed point existence theorem of increasing operator is proved without the suppose of continuity and compactness in the sense of norm and weak compactness and is applied to the Hammerstein nonlinear intergal equation.

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