A New Iterative Scheme for Solving the Equilibrium Problems, Variational Inequality Problems, and Fixed Point Problems in Hilbert Spaces
Joint Authors
Preechasilp, Pakkapon
Wangkeeree, Rabian
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-29
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
We introduce the new iterative methods for finding a common solution set of monotone, Lipschitz-type continuous equilibrium problems and the set of fixed point of nonexpansive mappings which is a unique solution of some variational inequality.
We prove the strong convergence theorems of such iterative scheme in a real Hilbert space.
The main result extends various results existing in the current literature.
American Psychological Association (APA)
Wangkeeree, Rabian& Preechasilp, Pakkapon. 2012. A New Iterative Scheme for Solving the Equilibrium Problems, Variational Inequality Problems, and Fixed Point Problems in Hilbert Spaces. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-992984
Modern Language Association (MLA)
Wangkeeree, Rabian& Preechasilp, Pakkapon. A New Iterative Scheme for Solving the Equilibrium Problems, Variational Inequality Problems, and Fixed Point Problems in Hilbert Spaces. Journal of Applied Mathematics No. 2012 (2012), pp.1-21.
https://search.emarefa.net/detail/BIM-992984
American Medical Association (AMA)
Wangkeeree, Rabian& Preechasilp, Pakkapon. A New Iterative Scheme for Solving the Equilibrium Problems, Variational Inequality Problems, and Fixed Point Problems in Hilbert Spaces. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-992984
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-992984