Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1709289 | Applied Mathematics Letters | 2009 | 5 Pages |
Abstract
In this work, we study the following Generalized Variational Inequality Problem (for short, GVIP): Given a closed convex set KK in a reflexive Banach space EE with the dual E∗E∗, a multifunction T:K→2E∗T:K→2E∗, and a vector b∈E∗b∈E∗, find x̄∈K such that there exists ū∈T(x̄) satisfying 〈ū−b,y−x̄〉≥0,for all y∈K. By using generalized projection and the well-known Fan–KKM Theorem, we prove existence results for solutions of GVIP. Our results extend some recent results from the literature.
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Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Mu-Ming Wong, Qamrul Hasan Ansari, Jen-Chih Yao,