Two strong convergence theorems for Bregman strongly nonexpansive operators in reflexive Banach spaces |
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Authors: | Simeon Reich Shoham Sabach |
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Affiliation: | Department of Mathematics, The Technion - Israel Institute of Technology, 32000 Haifa, Israel |
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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. |
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Keywords: | 47H05 47H09 47J25 49J40 90C25 |
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