Huang, Nan-Jing; Fang, Ya-Ping On vector variational inequalities in reflexive Banach spaces. (English) Zbl 1097.49009 J. Glob. Optim. 32, No. 4, 495-505 (2005). Summary: In this paper, we study the solvability for a class of vector variational inequalities in reflexive Banach spaces. Using the Brouwer fixed point theorem, we prove the solvability for this class of vector variational inequalities without monotonicity assumption. The solvability results for this class of vector variational inequalities with monotone mappings are also presented by using the KKM-Fan lemma Cited in 46 Documents MSC: 49J40 Variational inequalities 90C29 Multi-objective and goal programming 47J20 Variational and other types of inequalities involving nonlinear operators (general) Keywords:Brouwer fixed-point theorem; complete continuity; KKM-Fan lemma; KKM mapping; vector variational inequality PDF BibTeX XML Cite \textit{N.-J. Huang} and \textit{Y.-P. Fang}, J. Glob. Optim. 32, No. 4, 495--505 (2005; Zbl 1097.49009) Full Text: DOI References: This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.