Two strong convergence theorems for Bregman strongly nonexpansive operators in reflexive Banach spaces

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DOI10.1016/j.na.2010.03.005zbMath1226.47089OpenAlexW2053619914MaRDI QIDQ975247

Simeon Reich, Shoham Sabach

Publication date: 9 June 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.03.005

zbMATH Keywords

iterative algorithm strong convergence variational inequality monotone operator Banach space equilibrium problem convex feasibility problem Bregman projection Bregman distance Legendre function totally convex function Bregman firmly nonexpansive operator Bregman inverse strongly monotone operator Bregman strongly nonexpansive operator

Mathematics Subject Classification ID

Convex programming (90C25) Variational inequalities (49J40) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

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