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Generalized Variational-Like Inequalities with Nonmonotone Set-Valued Mappings

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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.

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Authors and Affiliations

  1. Department of Mathematics, Sichuan Normal University, Chengdu, Sichuan, P.R. China

    X. P. Ding (Professor)

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  1. X. P. Ding
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Ding, X.P. Generalized Variational-Like Inequalities with Nonmonotone Set-Valued Mappings. Journal of Optimization Theory and Applications 95, 601–613 (1997). https://doi.org/10.1023/A:1022673922484

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  • DOI: https://doi.org/10.1023/A:1022673922484

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