Generalized vector quasi-variational inequalities

• Autorzy: Song, W.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

PL

nierówność wektorowa quasi-zmienna; półciągłość uporządkowana malejąca; przestrzeń lokalnie wypukła; przestrzeń wektorowa topologiczna; reguła minimax; rzutowanie monotoniczne; teoria operatora

EN

minimax principle; monotone mapping; operator theory; order-lower (upper) semicontinuity; set-valued mapping; vector quasi-variational inequality

• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 1998
• Tom: Vol. 46, no 4
• Strony: 401--417
• Opis fizyczny: Bibliogr. 30 poz.,

Twórcy

autor

Song, W.

• Department of Mathematics, Harbin Normal University, Harbin 150080, China
• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-950 Warszawa, Poland

Bibliografia

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