Publication Cover
Applicable Analysis
An International Journal
Volume 82, 2003 - Issue 7
47
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Iterative Methods for Fixed Points of Asymptotically Weakly Contractive Maps

, , &
Pages 701-712 | Received 02 Feb 2002, Accepted 27 Apr 2003, Published online: 17 Jan 2012

References

  • Alber , Ya. and Guerre-Delabriere , S. 1994 . Problems of fixed point theory in Hilbert and Banach spaces . Functional Differential Equations , 2 : 5 – 10 .
  • Alber , Ya. and Guerre-Delabriere , S. 1997 . Principle of weakly contractive maps in Hilbert spaces . Operator Theory, Advances and Applications , 98 : 7 – 22 .
  • Alber , Ya. and Guerre-Delabriere , S. 2001 . On the projection methods for fixed point problems . Analysis , 21 : 17 – 39 .
  • Alber , Ya. , Guerre-Delabriere , S. and Zalenko , L. 1998 . The principle of weakly contractive maps in metric spaces . Communications on Applied Nonlinear Analysis , 5 ( 1 ) : 45 – 68 .
  • Bruck , R.E. , Kuczumow , T. and Reich , S. 1993 . Convergence of iterates of asymptotically nonexpansive maps in Banach spaces with the uniform Opial property . Colloquium Mathematicum , LXV, Fasc. 2 : 169 – 179 .
  • Chidume , C.E. , Zegeye , H. and Ntatin , B. 1999 . A generalized steepest descent approximation for the zeros of m-accretive operators . J. Math. Anal. Appl. , 261 ( 1 ) : 48 – 73 .
  • Chidume , C.E. , Zegeye , H. and Aneke , S.J. 2002 . Approximations of fixed points of weakly contractive non-self maps in Banach spaces . J. Math. Anal. Appl. , 270 ( 1 ) : 189 – 199 .
  • Goebel , K. and Kirk , W.A. 1972 . A fixed point theorem for asymptotically nonexpansive mappings . Proc. Amer. Math. Soc. , 35 : 171 – 174 .
  • Perov , A.I. and Trubnikov , Y.V. 1986 . Differential Equations with Monotone Nonlinearities , Minsk : Nauka i Technika .
  • Schu , J. 1991 . Iterative construction of fixed points of asymptotically nonexpansive mappings . J. Math. Anal. Appl. , 158 : 407 – 413 .

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.