Fixed Point Theory and Applications
Volume 2006 (2006), Issue 1, Pages Article 78104, 15 p.
doi:10.1155/FPTA/2006/78104
Hyperbolic monotonicity in the Hilbert ball
Eva Kopecká1
and Simeon Reich2
1Institute of Mathematics, Czech Academy of Sciences, {Z}itná 25, Prague 11567, Czech Republic
2Department of Mathematics, The Technion - Israel Institute of Technology, Haifa 32000, Israel
Abstract
We first characterize ρ-monotone mappings on the Hilbert ball by using their resolvents and then study the asymptotic behavior of compositions and convex combinations of these resolvents.