Acta Mathematica Vietnamica
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EXISTENCE CONDITIONS FOR QUASIVARIATIONAL INCLUSION PROBLEMS IN $G$-CONVEX SPACES
PHAN QUOC KHANH, NGUYEN HONG QUANpp. 1-10
Abstract
We consider general quasivariational inclusion problems in $G$-convex spaces and prove sufficient conditions for the solution existence. The verifiability of the imposed assumptions is discussed in details. Corollaries and examples are supplied to show that the obtained results contain and improve recent existence conditions in the literature, even when applied to particular cases.