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Convergence Theorems for Equilibrium Problems and Fixed-Point Problems of an Infinite Family of ki-Strictly Pseudocontractive Mapping in Hilbert Spaces
Joint Authors
Pan, Xintian
Li, Meixia
Che, Haitao
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-23, 23 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-31
Country of Publication
Egypt
No. of Pages
23
Main Subjects
Abstract EN
We first extend the definition of Wn from an infinite family of nonexpansive mappings to an infinite family of strictly pseudocontractive mappings, and then propose an iterative scheme by the viscosity approximation method for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of an infinite family of ki-strictly pseudocontractive mappings in Hilbert spaces.
The results obtained in this paper extend and improve the recent ones announced by many others.
Furthermore, a numerical example is presented to illustrate the effectiveness of the proposed scheme.
American Psychological Association (APA)
Che, Haitao& Li, Meixia& Pan, Xintian. 2012. Convergence Theorems for Equilibrium Problems and Fixed-Point Problems of an Infinite Family of ki-Strictly Pseudocontractive Mapping in Hilbert Spaces. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-23.
https://search.emarefa.net/detail/BIM-1028869
Modern Language Association (MLA)
Che, Haitao…[et al.]. Convergence Theorems for Equilibrium Problems and Fixed-Point Problems of an Infinite Family of ki-Strictly Pseudocontractive Mapping in Hilbert Spaces. Journal of Applied Mathematics No. 2012 (2012), pp.1-23.
https://search.emarefa.net/detail/BIM-1028869
American Medical Association (AMA)
Che, Haitao& Li, Meixia& Pan, Xintian. Convergence Theorems for Equilibrium Problems and Fixed-Point Problems of an Infinite Family of ki-Strictly Pseudocontractive Mapping in Hilbert Spaces. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-23.
https://search.emarefa.net/detail/BIM-1028869
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1028869