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Iterative Schemes for Fixed Points of Relatively Nonexpansive Mappings and Their Applications
Joint Authors
Plubtieng, Somyot
Sriprad, Wanna
Source
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-12-08
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
We present two iterative schemes with errors which are proved to be strongly convergent to a common element of the set of fixed points of a countable family of relatively nonexpansive mappings and the set of fixed points of nonexpansive mappings in the sense of Lyapunov functional in a real uniformly smooth and uniformly convex Banach space.
Using the result we consider strong convergence theorems for variational inequalities and equilibrium problems in a real Hilbert space and strong convergence theorems for maximal monotone operators in a real uniformly smooth and uniformly convex Banach space.
American Psychological Association (APA)
Plubtieng, Somyot& Sriprad, Wanna. 2010. Iterative Schemes for Fixed Points of Relatively Nonexpansive Mappings and Their Applications. Abstract and Applied Analysis،Vol. 2010, no. 2010, pp.1-18.
https://search.emarefa.net/detail/BIM-461587
Modern Language Association (MLA)
Plubtieng, Somyot& Sriprad, Wanna. Iterative Schemes for Fixed Points of Relatively Nonexpansive Mappings and Their Applications. Abstract and Applied Analysis No. 2010 (2010), pp.1-18.
https://search.emarefa.net/detail/BIM-461587
American Medical Association (AMA)
Plubtieng, Somyot& Sriprad, Wanna. Iterative Schemes for Fixed Points of Relatively Nonexpansive Mappings and Their Applications. Abstract and Applied Analysis. 2010. Vol. 2010, no. 2010, pp.1-18.
https://search.emarefa.net/detail/BIM-461587
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-461587