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Strategia bezpieczeństwa państwa : problemy teorii

Otłowski M. J.

Wiedza Obronna

2000

nr 4

22--40

Generalized vector quasi-variational inequalities

Song W.

Bulletin of the Polish Academy of Sciences. Mathematics

1998

Vol. 46, no 4

401-417

First we establish a general existence theorem for a generalized vector qusi-variational inequality in a topological vector space by using a set-valued and vector generalization of Ky Fan minimax principle. As applications, several existence theorems for generalized vector quasi-variational inequalities are derived under assumptions of order-lower (order-upper) semicontinuity or monotonicity of set-valued mappings.