Vector Variational Inequalities and the (S)+ Condition

Y. Chiang and J. C. Yao
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Y. Chiang: National Sun Yat-Sen University
J. C. Yao: National Sun Yat-Sen University

Journal of Optimization Theory and Applications, 2004, vol. 123, issue 2, No 3, 290 pages

Abstract: Abstract Let $${\cal Z}$$ and X be Hausdorff real topological vector spaces and let $${\cal L}_b(X,{\cal Z})$$ be the space of continuous linear mappings from X into $${\cal Z}$$ equipped with the topology of bounded convergence. In this paper, we define the (S)+ condition for operators from a nonempty subset of X into $${\cal L}_b(X,{\cal Z})$$ and derive some existence results for vector variational inequalities with operators of the class (S)+. Some applications to vector complementarity problems are given.

Keywords: Vector variational inequalities; variational inequalities; vector complementarity problems; (S)+ condition; topology of bounded convergence; Ky Fan lemma (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-004-5149-x

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