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A New Iterative Algorithm for the Set of Fixed-Point Problems of Nonexpansive Mappings and the Set of Equilibrium Problem and Variational Inequality Problem
Author
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-24, 24 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-04-12
Country of Publication
Egypt
No. of Pages
24
Main Subjects
Abstract EN
We introduce a new iterative scheme and a new mapping generated by infinite family of nonexpansive mappings and infinite real number.
By using both of these ideas, we obtain strong convergence theorem for finding a common element of the set of solution of equilibrium problem and the set of variational inequality and the set of fixed-point problems of infinite family of nonexpansive mappings.
Moreover, we apply our main result to obtain strong convergence theorems for finding a common element of the set of solution of equilibrium problem and the set of variational inequality and the set of common fixed point of pseudocontractive mappings.
American Psychological Association (APA)
Kangtunyakarn, Atid. 2011. A New Iterative Algorithm for the Set of Fixed-Point Problems of Nonexpansive Mappings and the Set of Equilibrium Problem and Variational Inequality Problem. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-24.
https://search.emarefa.net/detail/BIM-480981
Modern Language Association (MLA)
Kangtunyakarn, Atid. A New Iterative Algorithm for the Set of Fixed-Point Problems of Nonexpansive Mappings and the Set of Equilibrium Problem and Variational Inequality Problem. Abstract and Applied Analysis No. 2011 (2011), pp.1-24.
https://search.emarefa.net/detail/BIM-480981
American Medical Association (AMA)
Kangtunyakarn, Atid. A New Iterative Algorithm for the Set of Fixed-Point Problems of Nonexpansive Mappings and the Set of Equilibrium Problem and Variational Inequality Problem. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-24.
https://search.emarefa.net/detail/BIM-480981
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-480981