Fixed points by Ishikawa iterations
In this paper, we introduce a class of mappings called generalized quasi-nonexpansive mappings in a Hilbert space. It is shown that a certain Ishikawa iterative process generated by a continuous generalized quasi-nonexpansive and monotone mapping on a compact and convex subset of a Hilbert space always converges strongly to a fixed point of the mapping without any precondition. 1 ref.
- Research Organization:
- Stanford Univ., CA (USA). Systems Optimization Lab.
- Sponsoring Organization:
- DOD; DOE/ER; NSF
- DOE Contract Number:
- FG03-87ER25028
- OSTI ID:
- 5213436
- Report Number(s):
- SOL-89-19; ON: DE90005557; CNN: DMS 8913089; N00014-89-J-1659
- Country of Publication:
- United States
- Language:
- English
Similar Records
On mean value iterations with application to variational inequality problems
Parallel iterative methods for a finite family of sequences of nearly nonexpansive mappings in Hilbert spaces
On split inclusion problem and fixed point problem for multi-valued mappings
Technical Report
·
Thu Nov 30 23:00:00 EST 1989
·
OSTI ID:5173143
Parallel iterative methods for a finite family of sequences of nearly nonexpansive mappings in Hilbert spaces
Journal Article
·
Sun Jul 15 00:00:00 EDT 2018
· Computational and Applied Mathematics
·
OSTI ID:22783801
On split inclusion problem and fixed point problem for multi-valued mappings
Journal Article
·
Tue May 15 00:00:00 EDT 2018
· Computational and Applied Mathematics
·
OSTI ID:22769328