Title of article
Strong vector variational inequalities in Banach spaces Original Research Article
Author/Authors
Ya-ping Fang، نويسنده , , Nan-Jing Huang، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2006
Pages
7
From page
362
To page
368
Abstract
In this work, we study some existence results for solutions for a class of strong vector variational inequalities (for short, SVVI) in Banach spaces. The solvability of the SVVI without monotonicity is presented by using the fixed point theorems of Brouwer and Browder, respectively. The solvability of the SVVI with monotonicity is also proved by using the Ky Fan lemma. Our results give a positive answer to an open problem proposed by Chen and Hou.
Keywords
Solvability , Brouwer’s fixed point theorem , Strong vector variational inequality , Weak coercivity , Pseudomonotone mapping
Journal title
Applied Mathematics Letters
Serial Year
2006
Journal title
Applied Mathematics Letters
Record number
898125
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