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

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  • Y. Chiang

    (National Sun Yat-Sen University)

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.

Suggested Citation

  • Y. Chiang, 2005. "The (S) + 1 Condition for Generalized Vector Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 124(3), pages 581-594, March.
    • Handle: RePEc:spr:joptap:v:124:y:2005:i:3:d:10.1007_s10957-004-1175-y
    DOI: 10.1007/s10957-004-1175-y
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    References listed on IDEAS

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    1. Y. Chiang & J. C. Yao, 2004. "Vector Variational Inequalities and the (S)+ Condition," Journal of Optimization Theory and Applications, Springer, vol. 123(2), pages 271-290, November.
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