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Vietnam Journal of Mathematics 38:2 (2010) 227-235  

Random Fixed Points of Probabilistic Contractions and Applications to Random Equations

Ta Ngoc Anh

Abstract.  In this paper, we present some necessary and sufficient conditions for the existence of random fixed points of probabilistic contractions and give some applications of these results to random equations.

2000 Mathematics Subject Classification: Primary 60H25; Secondary: 60B11, 54H25, 47B80, 47H10.

Keywords: Random operator, probabilistic contraction, random equation, random fixed point.

 

 

 

 

 

 

 

 

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