Levitin-Polyak well-posedness of split multivalued variational inequalities

Published 29 Nov 2023 in math.OC | (2311.18060v1)

Abstract: We introduce and study the split multivalued variational inequality problem (SMVIP) and the parametric SMVIP. We examine, in particular, Levitin-Polyak well-posedness of SMVIPs and parametric SMVIPs in Hilbert spaces. We provide several examples to illustrate our theoretical results. We also discuss several important special cases.

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