The (S) + 1 Condition for Generalized Vector Variational Inequalities

Y. Chiang
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Y. Chiang: National Sun Yat-Sen University

Journal of Optimization Theory and Applications, 2005, vol. 124, issue 3, No 3, 594 pages

Abstract: Abstract In this paper, we extend the (S) + 1 condition to multivalued mappings in an ordered Hausdorff topological vector space and we derive some existence results for generalized vector variational inequalities associated with multivalued mappings satisfying the (S) + 1 condition. We generalize also an existence result of Cubiotti and Yao for generalized variational inequalities of class (S) + 1 to barreled normed spaces. As consequences, some existence results for vector variational inequalities are established.

Keywords: Generalized vector variational inequalities; (S) + 1 condition; topologies of simple convergence and bounded convergence; $$\cal{L}$$ -topology; Shioji’s KKM theorem (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1007/s10957-004-1175-y

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