A general iterative method for nonexpansive mappings in Hilbert spaces

Journal of Mathematical Analysis and Applications

Volumn 318, Issue 1, 2006, Pages 43-52

  Marino, Giuseppe ^a   Xu, Hong Kun ^b  

^a UNIVERSITY OF CALABRIA   (Italy)

^b UNIVERSITY OF KWAZULU NATAL   (South Africa)

Author keywords

Fixed point; Iterative method; Nonexpansive mapping; Projection; Variational inequality; Viscosity approximation

Indexed keywords

EID: 33644654188     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2005.05.028     Document Type: Article

References (8)

1. F. Deutsch I. Yamada Minimizing certain convex functions over the intersection of the fixed point sets of nonexpansive mappings Numer. Funct. Anal. Optim. 19 1998 33-56
2. K. Geobel W.A. Kirk Topics in Metric Fixed Point Theory Cambridge Stud. Adv. Math. vol. 28 1990 Cambridge Univ. Press
3. A. Moudafi Viscosity approximation methods for fixed-points problems J. Math. Anal. Appl. 241 2000 46-55
4. H.K. Xu Iterative algorithms for nonlinear operators J. London Math. Soc. 66 2002 240-256
5. H.K. Xu An iterative approach to quadratic optimization J. Optim. Theory Appl. 116 2003 659-678
6. H.K. Xu Viscosity approximation methods for nonexpansive mappings J. Math. Anal. Appl. 298 2004 279-291
7. I. Yamada The hybrid steepest descent method for the variational inequality problem of the intersection of fixed point sets of nonexpansive mappings D. Butnariu Y. Censor S. Reich Inherently Parallel Algorithm for Feasibility and Optimization 2001 Elsevier 473-504
8. I. Yamada N. Ogura Y. Yamashita K. Sakaniwa Quadratic approximation of fixed points of nonexpansive mappings in Hilbert spaces Numer. Funct. Anal. Optim. 19 1998 165-190