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Approximation for the Hierarchical Constrained Variational Inequalities over the Fixed Points of Nonexpansive Semigroups
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-03
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The purpose of the present paper is to study the hierarchical constrained variational inequalities of finding a point x* such that x*∈Ω,〈(A-γf)x*-(I-B)Sx*,x-x*〉≥0, ∀x∈Ω, where Ω is the set of the solutions of the following variational inequality: x*∈Ϝ,〈(A-S)x*,x-x*〉≥0, ∀x∈Ϝ, where A,B are two strongly positive bounded linear operators, f is a ρ-contraction, S is a nonexpansive mapping, and Ϝ is the fixed points set of a nonexpansive semigroup {T(s)}s≥0.
We present a double-net convergence hierarchical to some elements in Ϝ which solves the above hierarchical constrained variational inequalities.
American Psychological Association (APA)
Zhu, Li-Jun. 2013. Approximation for the Hierarchical Constrained Variational Inequalities over the Fixed Points of Nonexpansive Semigroups. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-484389
Modern Language Association (MLA)
Zhu, Li-Jun. Approximation for the Hierarchical Constrained Variational Inequalities over the Fixed Points of Nonexpansive Semigroups. Abstract and Applied Analysis No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-484389
American Medical Association (AMA)
Zhu, Li-Jun. Approximation for the Hierarchical Constrained Variational Inequalities over the Fixed Points of Nonexpansive Semigroups. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-484389
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-484389