Levitin-Polyak well-posedness of split multivalued variational inequalities

2023/11/29 by Dey, Soumitra, Reich, Simeon
#47H10 #47J20 #49J40 #49K40 #90C31 #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2311.18060

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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