On F-Implicit Generalized Vector Variational Inequalities

Y. C. Lin ()
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Y. C. Lin: China Medical University

Journal of Optimization Theory and Applications, 2009, vol. 142, issue 3, No 7, 557-568

Abstract: Abstract In this paper, we study the F-implicit generalized (weak) case for vector variational inequalities in real topological vector spaces. Both weak and strong solutions are considered. These two sets of solutions coincide whenever the mapping T is single-valued, but not set-valued. We use the Ferro minimax theorem to discuss the existence of strong solutions for F-implicit generalized vector variational inequalities.

Keywords: F-implicit generalized (weak) vector variational inequalities; Weak solutions; Strong solutions (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1007/s10957-009-9543-2

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