An Iteration Method for Nonexpansive Mappings in Hilbert Spaces
In real Hilbert space H, from an arbitrary initial point x0∈H, an explicit iteration scheme is defined as follows: xn+1=αnxn+(1−αn)Tλn+1xn,n≥0, where Tλn+1xn=Txn−λn+1μF(Txn), T:H→H is a nonexpansive mapping such that F(T)={x∈K:Tx=x} is nonempty, F:HâÂ...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2006-12-01
|
| Series: | Fixed Point Theory and Applications |
| Online Access: | http://dx.doi.org/10.1155/2007/28619 |