Journal of Convex Analysis 17 (2010), No. 3&4, 991--1006
Copyright Heldermann Verlag 2010
A Strong Convergence Theorem for Resolvents of Monotone Operators
Dan Butnariu
Dept. of Mathematics, University of Haifa, 31905 Haifa, Israel
dbutnaru@math.haifa.ac.il
Simeon Reich
Dept. of Mathematics, Technion - Israel Institute of Technology, 32000 Haifa, Israel
sreich@tx.technion.ac.il
Shoham Sabach
Dept. of Mathematics, Technion - Israel Institute of Technology, 32000 Haifa, Israel
ssabach@tx.technion.ac.il
We prove a strong convergence theorem for resolvents of monotone operators in Banach spaces. These resolvents are associated with totally convex Legendre functions.
Keywords: Banach space, Bregman projection, Legendre function, monotone operator, resolvent, totally convex function.
MSC: 47H05; 52A41
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