Applied Mathematics and Mechanics

, Volume 7, Issue 12, pp 1175–1188 | Cite as

Random directional contractors and their applications

  • Ding Xie-ping


In this paper, as the generalizations of Altman's directional contractors[4,5] and Lee and Padgett's random contractors[1,2] we introduce the concept of random directional contractors for set-valued random operators. Using the new concept and transfinite induction, we show several existence theorems to solutions of nonlinear set-valued random operator equations. Our theorems improve and generalize the corresponding results in [1,2,4,5,11]. Next, some applications of our results to nonlinear random integral and differential equations are given.


Differential Equation Mathematical Modeling Industrial Mathematic Operator Equation Existence Theorem 
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Copyright information

© Shanghai University of Technology (SUT) 1986

Authors and Affiliations

  • Ding Xie-ping
    • 1
  1. 1.Sichian Normal UniversityChengdu

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