Abstract

We prove a strong convergence theorem for resolvents of monotone operators in Banach spaces. These resolvents are associated with totally convex Legendre functions.

Author information

Contact details are reproduced from the original publication and may be historical.

Simeon Reich

Dept. of Mathematics, Technion - Israel Institute of Technology, 32000 Haifa, Israel

sreich@tx.technion.ac.il

Keywords

  • Banach space
  • Bregman projection
  • Legendre function
  • monotone operator
  • resolvent
  • totally convex function

Mathematics Subject Classification

47H05; 52A41

Suggested citation

D. Butnariu, S. Reich, S. Sabach. “A Strong Convergence Theorem for Resolvents of Monotone Operators.” Journal of Convex Analysis 17 (2010), No. 3&4, 991–1006.

Copyright Heldermann Verlag 2010