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Generalized Variational-Like Inequalities with Nonmonotone Set-Valued Mappings

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  • X. P. Ding

    (Sichuan Normal University)

Abstract

In this paper, we introduce a new class of generalized variational-like inequalities involving a nonmonotone-type set-valued mapping which is more general than those in the known literature. By applying a KKM-type theorem established by the author, some existence theorems for the solutions to the class of generalized variational-like inequalities are proved in Hausdorff locally convex topological vector spaces.

Suggested Citation

  • X. P. Ding, 1997. "Generalized Variational-Like Inequalities with Nonmonotone Set-Valued Mappings," Journal of Optimization Theory and Applications, Springer, vol. 95(3), pages 601-613, December.
    • Handle: RePEc:spr:joptap:v:95:y:1997:i:3:d:10.1023_a:1022673922484
    DOI: 10.1023/A:1022673922484
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    References listed on IDEAS

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    1. Romesh Saigal, 1976. "Extension of the Generalized Complementarity Problem," Mathematics of Operations Research, INFORMS, vol. 1(3), pages 260-266, August.
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