107
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

A new approximation algorithm for fixed points of nonexpansive mappings

&
Pages 257-264 | Received 12 Jul 2009, Published online: 09 Jun 2011

References

  • Goebel , K. and Kirk , W. 1972 . A fixed point theorem for asymptotically nonexpansive mappings . Proc. Amer. Math. Soc., , 35 : 171 – 174 . Doi:10.2307/2038462
  • Halpern , B. 1976 . Fixed points of nonexpansive maps . Bull. Amer. Math. Soc., , 73 : 957 – 961 . Doi:10.1090/S0002–9904–1967–11864–0.
  • Ishikawa , S. 1974 . Fixed point by new iteration method . Proc. Amer. Math. Soc. , 44 : 147 – 150 . Doi:10.2307/2039245
  • Kim , T.H. and Xu , H.K. 2000 . Remarks on asymptotically nonexpansive mappings . Nonlinear Analysis, , 41 : 405 – 415 . Doi:10.1016/S0362–546X(98)00284–3.
  • Mann , W. 1953 . Mean value methods in iteration . Proc. Amer. Math. Soc., , 4 : 506 – 510 . Doi:10.2307/2032162
  • Moudafi , A. 2000 . Viscosity approximation methods for fixed point problems . J. Math. Anal. Appl., , 241 : 46 – 55 . Doi:10.1006/jmaa.1999.6615
  • Nakajo , N. and Takahashi , W. 2003 . Strong convergence theorems for nonexpansive mappings and nonexpansive semi‐groups . J. Math. Anal. Appl., , 297 : 372 – 379 . Doi:10.1016/S0022–247X(02)00458–4.
  • Noor , M. and Huang , Z. 2007 . Wiener‐Hopf equation technique for variational inequalities and nonexpansive mappings . Appl. Math. Comput , Doi:10.1016/j.amc.2007.02.117.
  • Su , Y. and Qin , X. 2007 . General iteration algorithm and convergence rate optimal model for common fixed points of nonexpansive mappings . Appl. Math. Comput. , 186 : 271 – 278 . Doi:10.1016/j.amc.2006.07.101.
  • Takahashi , W. 2000 . Nonlinear Functional Analysis, Fixed Point Theory and Applications. , Yokohama Publishers .
  • Xu , H. and Ori , M. 2001 . An implicit iteration process for nonexpansive mappings . Numer. Funct. Anal. Optimize., , 22 : 767 – 773 . Doi:10.1081/NFA‐100105317
  • Zhou , H. 2007 . Convergence theorems of common fixed points for a finite family of Lipschitz pseudocontractions in Banach spaces . Nonlinear Analysis , Doi:10.1016/j.na.2007.02.041.
  • Zhou , H. and Chang , S. 2002 . Convergence of implicit iterative process for a finite family of asymptotically nonexpansive mappings in Banach spaces . Numer. Funct. Anal. Optimize., , 23 : 911 – 921 . Doi:10.1081/NFA‐120016276

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.