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Two strong convergence theorems for Bregman strongly nonexpansive operators in reflexive Banach spaces
Authors:Simeon Reich  Shoham Sabach
Affiliation:Department of Mathematics, The Technion - Israel Institute of Technology, 32000 Haifa, Israel
Abstract:We study the convergence of two iterative algorithms for finding common fixed points of finitely many Bregman strongly nonexpansive operators in reflexive Banach spaces. Both algorithms take into account possible computational errors. We establish two strong convergence theorems and then apply them to the solution of convex feasibility, variational inequality and equilibrium problems.
Keywords:47H05   47H09   47J25   49J40   90C25
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