50
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

Random Ishikawa Iterative Sequence with Applications

, , &
Pages 69-77 | Received 07 Mar 2003, Accepted 23 Sep 2003, Published online: 01 Sep 2006

REFERENCES

  • Beg , I. 2002 . Approximation of random fixed points in normal spaces . Nonlinear Anal. TMA 51 : 1363 – 1372 .
  • Bharucha-Reid , A. T. 1976 . Fixed point theorems in probabilistic analysis . Bull. Amer. Math. Soc. 82 : 641 – 657 .
  • Chang , S. S. 1997 . On Chidume's open questions and approximation solutions multi-valued strongly accretive mapping equations in Banach spaces . J. Math. Anal. Appl. 216 : 94 – 111 [CROSSREF]
  • Chang , S. S. , Y. J. Cho , and S. S. Zhou . 2002 . Iterative Method for Nonlinear Operator Equations in Banach Spaces . New York : Nova Science Publishers, Inc.
  • Choudhury , B. S. 2003 . Random Mann iteration sequence . Applied Math. Lett. 16 : 93 – 96 . [CROSSREF]
  • Choudhury , B. S. , and M. Ray . 1999 . Convergence of an iteration leading to a solution of a random operator equation . J. Appl. Math. Stoc. Anal. 12 : 161 – 168 .
  • Himmelberg , C. J. 1975 . Measurable relations . Fund. Math. 87 : 53 – 71 .
  • Ishikawa , S. 1974 . Fixed points by a new iteration method . Proc. Amer. Math. Soc. 44 : 147 – 150 .
  • Liu , Z. Q. , and S.M. Kang . 2001 . Convergence theorems for phi-strongly accretive and Φ-Hemecontractive operators . J. Math. Anal. Appl. 253 : 35 – 49 . [CROSSREF]
  • Mann , W. R. 1953 . Mean value methods in iteration . Proc. Amer. Math. Soc. 4 : 506 – 510 .
  • Papageorgiou , N. S. 1986 . Random fixed point theorems for measurable multifunctions in Banach spaces . Proc. Amer. Math. Soc. 97 : 507 – 513 .
  • Ramirez , P. L. 2002 . Some random fixed point theorems for nonlinear mappings . Nonlinear Anal. TMA 50 : 265 – 274 . [CROSSREF]
  • Sehgal , V. M. , and C. Waters . 1984 . Some random fixed point theorems for considering operators . Proc. Amer. Math. Soc. 90 : 425 – 429 .
  • Tan , K. K. , and X.Z. Yuan . 1992 . Some random fixed point theorems . In Fixed Point Theory and Applications , ed., K.K. Tan , 334 – 345 . Singapore : World Scientific .
  • Weng , X. 1991 . Fixed point iteration for local strictly pseudo contractive mappings . Proc. Amer. Math. Soc. 113 : 727 – 731 .
  • Xu , H. K. 1990 . Some random fixed point theorems for condensing and nonexpansive operators . Proc. Amer. Math. Soc. 110 : 395 – 400 .

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.