Weak Convergence of the Projection Type Ishikawa Iteration Scheme for Two Asymptotically Nonexpansive Nonself-Mappings
Author
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-10-27
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
We study weak convergence of the projection type Ishikawa iteration scheme for two asymptotically nonexpansive nonself-mappings in a real uniformly convex Banach space E which has a Fréchet differentiable norm or its dual E* has the Kadec-Klee property.
Moreover, weak convergence of projection type Ishikawa iterates of two asymptotically nonexpansive nonself-mappings without any condition on the rate of convergence associated with the two maps in a uniformly convex Banach space is established.
Weak convergence theorem without making use of any of the Opial's condition, Kadec-Klee property, or Fréchet differentiable norm is proved.
Some results have been obtained which generalize and unify many important known results in recent literature.
American Psychological Association (APA)
Thianwan, Tanakit. 2011. Weak Convergence of the Projection Type Ishikawa Iteration Scheme for Two Asymptotically Nonexpansive Nonself-Mappings. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-19.
https://search.emarefa.net/detail/BIM-495328
Modern Language Association (MLA)
Thianwan, Tanakit. Weak Convergence of the Projection Type Ishikawa Iteration Scheme for Two Asymptotically Nonexpansive Nonself-Mappings. Abstract and Applied Analysis No. 2011 (2011), pp.1-19.
https://search.emarefa.net/detail/BIM-495328
American Medical Association (AMA)
Thianwan, Tanakit. Weak Convergence of the Projection Type Ishikawa Iteration Scheme for Two Asymptotically Nonexpansive Nonself-Mappings. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-19.
https://search.emarefa.net/detail/BIM-495328
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-495328