Title of article
Two strong convergence theorems for Bregman strongly nonexpansive operators in reflexive Banach spaces Original Research Article
Author/Authors
Simeon Reich، نويسنده , , Shoham Sabach، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
14
From page
122
To page
135
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
Variational inequality , Totally convex function , Banach space , Bregman inverse strongly monotone operator , Bregman distance , Bregman firmly nonexpansive operator , Bregman projection , Bregman strongly nonexpansive operator , Convex feasibility problem , Equilibrium problem , Legendre function , Iterative algorithm , monotone operator
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2010
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
862496
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