Iterative algorithms for nonlinear operators

Journal of the London Mathematical Society

Volumn 66, Issue 1, 2002, Pages 240-256

  Xu, Hong Kun ^a  

^a UNIVERSITY OF KWAZULU NATAL   (South Africa)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036692463     PISSN: 00246107     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024610702003332     Document Type: Article

References (23)

1. The perturbed generalized proximal point algorithm
2. Une remarque sur le comportement asymptotique des semigroupes non lineáire
3. Nonexpansive nonlinear operators in a Banach space
4. Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces
5. Convergence theorems for sequences of nonlinear operators in Banach spaces
6. On the convex approximation property and the asymptotic behavior of nonlinear contractions in Banach spaces
7. A variable metric proximal point algorithm for monotone operators
8. On the convergence of the proximal point algorithm for convex minimization
9. Fixed points of nonexpanding maps
10. An active set strategy based on the augmented Lagrangian formulation for image restoration
11. Proximal point methods and nonconvex optimization
12. Approximation de points fixes de contractions
13. Weak convergence of the sequence of successive approximations for nonexpansive mappings
14. Weak convergence theorems for nonexpansive mappings in Banach spaces
15. Strong convergence theorems for resolvents of accretive operators in Banach spaces
16. Monotone operators and the proximal point algorithm
17. Forcing strong convergence of proximal point iterations in a Hilbert space
18. An ergodic theorem for nonlinear semigroups of Lipschitzian mappings in Banach spaces
19. Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
20. The perturbed proximal point algorithm and some of its applications
21. Approximation of fixed points of nonexpansive mappings