Generalized Variational-Like Inequalities with Nonmonotone Set-Valued Mappings

X. P. Ding
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X. P. Ding: Sichuan Normal University

Journal of Optimization Theory and Applications, 1997, vol. 95, issue 3, No 7, 613 pages

Abstract: 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.

Keywords: Generalized variational-like inequalities; 0-diagonally quasiconcave relations; nonmonotone mappings; locally convex topological vector spaces (search for similar items in EconPapers)
Date: 1997
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DOI: 10.1023/A:1022673922484

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