In:
Abstract and Applied Analysis, Hindawi Limited, Vol. 2013 ( 2013), p. 1-8
Abstract:
The purpose of the present paper is to study the hierarchical constrained variational inequalities of finding a point x * such that x * ∈ Ω , 〈 ( A - γ f ) x * - ( I - B ) S x * , 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.
Type of Medium:
Online Resource
ISSN:
1085-3375
,
1687-0409
Language:
English
Publisher:
Hindawi Limited
Publication Date:
2013
detail.hit.zdb_id:
2064801-7
SSG:
17,1
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