On generalized implicit vector variational inequality problems

A. P. Farajzadeh () and A. Amini-Harandi ()
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A. P. Farajzadeh: Razi University
A. Amini-Harandi: University of Shahrekord

Indian Journal of Pure and Applied Mathematics, 2011, vol. 42, issue 2, 127-140

Abstract: Abstract In this paper, we introduce and study the generalized implicit vector variational inequality problems with set valued mappings in topological vector spaces. We establish existence theorems for the solution set of these problems be nonempty compact and convex. Our results extend the results by Fang and Huang [ Existence results for generalized implicit vector variational inequalities with multivalued mappings, Indian J. Pure and Appl. Math. 36(2005), 629–640.]

Keywords: Implicit vector variational inequality; set valued mapping; affine mapping; C-pseudomonotone; strongly C-pseudomonotone (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s13226-011-0008-6

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