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Generalized Variational-Like Inequalities with Nonmonotone Set-Valued Mappings (1997)

Ding, X. P.

Springer

Journal of optimization theory and applications 95 (1997), S. 601-613

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ISSN: 1573-2878

Keywords: Generalized variational-like inequalities ; 0-diagonally quasiconcave relations ; nonmonotone mappings ; locally convex topological vector spaces

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1023/A:1022673922484

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