Iterative Averaging of Entropic Projections for Solving Stochastic Convex Feasibility Problems

  • Dan Butnariu
  • Yair Censor
  • Simeon Reich


The problem considered in this paper is that of finding a point which iscommon to almost all the members of a measurable family of closed convexsubsets of R++ n , provided that such a point exists.The main results show that this problem can be solved by an iterative methodessentially based on averaging at each step the Bregman projections withrespect to f(x)=∑i=1nxi· ln xi ofthe current iterate onto the given sets.

stochastic convex feasibility problem Bregman projection entropic projection modulus of local convexity very convex function 


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Copyright information

© Kluwer Academic Publishers 1997

Authors and Affiliations

  • Dan Butnariu
    • 1
  • Yair Censor
    • 1
  • Simeon Reich
    • 2
  1. 1.Department of Mathematics and Computer ScienceUniversity of HaifaHaifaIsrael
  2. 2.Department of MathematicsThe Technion–Israel Institute of TechnologyHaifaIsrael

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