Generalized Variational-Like Inequalities with Nonmonotone Set-Valued Mappings |
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Authors: | X. P. Ding |
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Affiliation: | (1) Department of Mathematics, Sichuan Normal University, Chengdu, Sichuan, P.R. China |
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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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Keywords: | Generalized variational-like inequalities 0-diagonally quasiconcave relations nonmonotone mappings locally convex topological vector spaces |
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