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The Hybrid Projection Methods for Pseudocontractive, Nonexpansive Semigroup, and Monotone Mapping
Joint Authors
Katchang, Phayap
Plubtieng, Somyot
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-21
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We modify the three-step iterative schemes to prove the strong convergence theorems by using the hybrid projection methods for finding a common element of the set of solutions of fixed points for a pseudocontractive mapping and a nonexpansive semigroup mapping and the set of solutions of a variational inequality problem for a monotone mapping in a Hilbert space under some appropriate control conditions.
Our theorems extend and unify most of the results that have been proved for this class of nonlinear mappings.
American Psychological Association (APA)
Katchang, Phayap& Plubtieng, Somyot. 2014. The Hybrid Projection Methods for Pseudocontractive, Nonexpansive Semigroup, and Monotone Mapping. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1014840
Modern Language Association (MLA)
Katchang, Phayap& Plubtieng, Somyot. The Hybrid Projection Methods for Pseudocontractive, Nonexpansive Semigroup, and Monotone Mapping. Abstract and Applied Analysis No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1014840
American Medical Association (AMA)
Katchang, Phayap& Plubtieng, Somyot. The Hybrid Projection Methods for Pseudocontractive, Nonexpansive Semigroup, and Monotone Mapping. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1014840
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014840