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Abstract
In this paper, some theorems on the equivalence between the solvability of a random operator equation and the solvability of a deterministic operator equation are presented. As applications and illustrations, some results on random fixed points and random coincidence points in the literature are obtained or extended.
Keywords.: Random operator; continuous random operator; multivalued random operator; continuous multivalued random operator; measurable random operator; measurable multivalued random operator; random equation; random fixed point; random coincidence point; common random fixed point
Received: 2009-08-17
Accepted: 2009-12-02
Published Online: 2010-09-09
Published in Print: 2010-September
© de Gruyter 2010
