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    STUDIA MATHEMATICA - Issue no. 2 / 2007  
         
  Article:   LEBESGUE TYPE CONVERGENCE THEOREMS.

Authors:  ANCA CROITORU. 		 
       
         
  Abstract:  In [9], the author introduced a set-valued integral for multifunctions with respect to a multimeasure φ. If Pk(X) is the family of nonempty compact subsets of a Hausdorff locally convex algebra X, then both the multifunctions and the multimeasure take values in a subset ~X of Pk(X) which satisfies certain conditions. In this paper, we present Lebesgue type convergence theorems for the integral defined in [9].  
         
     
         
         
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