General Iterative Algorithms for Hierarchical Fixed Points Approach to Variational Inequalities
Joint Authors
Wairojjana, Nopparat
Kumam, Poom
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-12
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
This paper deals with new methods for approximating a solution to the fixed point problem; find x̃∈F(T), where H is a Hilbert space, C is a closed convex subset of H, f is a ρ-contraction from C into H, 0<ρ<1, A is a strongly positive linear-bounded operator with coefficient γ̅>0, 0<γ<γ̅/ρ, T is a nonexpansive mapping on C, and PF(T) denotes the metric projection on the set of fixed point of T.
Under a suitable different parameter, we obtain strong convergence theorems by using the projection method which solves the variational inequality 〈(A-γf)x̃+τ(I-S)x̃,x-x̃〉≥0 for x∈F(T), where τ∈[0,∞).
Our results generalize and improve the corresponding results of Yao et al.
(2010) and some authors.
Furthermore, we give an example which supports our main theorem in the last part.
American Psychological Association (APA)
Wairojjana, Nopparat& Kumam, Poom. 2012. General Iterative Algorithms for Hierarchical Fixed Points Approach to Variational Inequalities. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-993004
Modern Language Association (MLA)
Wairojjana, Nopparat& Kumam, Poom. General Iterative Algorithms for Hierarchical Fixed Points Approach to Variational Inequalities. Journal of Applied Mathematics No. 2012 (2012), pp.1-20.
https://search.emarefa.net/detail/BIM-993004
American Medical Association (AMA)
Wairojjana, Nopparat& Kumam, Poom. General Iterative Algorithms for Hierarchical Fixed Points Approach to Variational Inequalities. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-993004
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993004