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Gap functions and existence of solutions for generalized vector quasivariational inequalities. (English) Zbl 1142.49303

Summary: The gap functions for generalized vector quasivariational inequalities in Hausdorff topological vector spaces are introduced, then using Fan-Knaster-Kuratowski-Mazurkiewicz (FKKM) theorem, some existence theorems for a class of generalized vector quasivariational inequalities under suitable assumptions are established. The obtained results extend and unify corresponding results in the literature.

MSC:

49J40 Variational inequalities
47H04 Set-valued operators
47J20 Variational and other types of inequalities involving nonlinear operators (general)
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