Applied Mathematics and Mechanics

, Volume 20, Issue 11, pp 1291–1296 | Cite as

Quasi-weak convergence with applications in ordered Banach space

  • Yang Guangchong
Article

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.

Key words

ordered Banach space separated property quasi-weak convergence fixed points 

CLC number

O177.91 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Amann H. Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces [J].SIAM Review, 1976,18:620–709.MATHMathSciNetCrossRefGoogle Scholar
  2. [2]
    Ladde G S, Lakshmikanthan V, Vatsala A S.Monotone Iterative Techniques for Differential Equations[M]. London, 1985.Google Scholar
  3. [3]
    Deimling K.Nonlinear Function Analysis [M]. Berlin: Springer-Verlag Heidelberg, 1985.Google Scholar
  4. [4]
    Sun Jingxian. The fixed points of noncontinuity increasing operator and its application to nonlinear integral equation with discontinuous factor [J].Acta Mathematica Sinica, 1988,31(1):101–107. (in Chinese)MathSciNetGoogle Scholar
  5. [5]
    Guo Dajun, Lakshmikantham V. Coupled fixed points of nonlinear operators with applications [J].Nonlinear Analysis Theory Methods & Applications, 1987,11(5):623–632.MathSciNetCrossRefGoogle Scholar
  6. [6]
    Yang Rongxian, Yang Guangchong. The fixed points in product space and some of its applications [J].Journal of Engineering Mathematics, 1996,13(2):27–32. (in Chinese)MathSciNetGoogle Scholar
  7. [7]
    Xia Daoxing, et al.Functions of Real Variable and Functional Analysis [M]. Beijing: The People's Education Press, 1978. (in Chinese)Google Scholar
  8. [8]
    Zheng Weizing, Wang Shengwang. The summary of functions of real variable and functional analysis [M]. Beijing: The People's Education Press, 1980. (in Chinese)Google Scholar
  9. [9]
    Guo Dajun.Nonlinear Functional Analysis [M]. Jinan: Shandong Science and Technology Press. 1985. (in Chinese)Google Scholar

Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 1999

Authors and Affiliations

  • Yang Guangchong
    • 1
  1. 1.Basic Department of Chengdu Institute of MeteorologyChengduP R China

Personalised recommendations