Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (2): 542-547.

• Articles • Previous Articles     Next Articles

Random Fixed Points Theorem of a Class of Discontinuous Random Operators and Its Application

 LI Zhi-Long   

  1. Department of Mathematics, Jiangxi |University of Finance and Economics, Nanchang 330013
  • Received:2007-12-25 Revised:2009-05-25 Online:2010-04-25 Published:2010-04-25
  • Supported by:

    国家自然科学基金$(10626029,10701040)、江西省自然科学基金 (2009GQS0007)、江西省高校人文社科项目(JJ0946)和 江西财经大学项目(JXCDJG0813)资助.

Abstract:

By using the order theory and random contracted mapping theorem, the existence and uniqueness of random fixed point for a class of discontinuous random operators is obtained. As an application, the  existence of the random solution for the initial value problem of the random differential and integral equations in Rn is established.

Key words: Discontinuous random operator, Random contracting mapping theorem, Random fixed points, Random differentiation and integration equations

CLC Number: 

  • 47H10
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