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math.OC2023
Levitin-Polyak well-posedness of split multivalued variational inequalities
Soumitra Dey, Simeon Reich
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…
math.OC2023
New iterative algorithms for solving split variational inclusions
Soumitra Dey, Chinedu Izuchukwu, Adeolu Taiwo +1
In this paper we study a class of split variational inclusion (SVI) and regularized split variational inclusion (RSVI) problems in real Hilbert spaces. We discuss various analytica…
math.OC2023
Well-posedness for the split equilibrium problem
Soumitra Dey, V. Vetrivel, Hong-Kun Xu
We extend the concept of well-posedness to the split equilibrium problem and establish Furi-Vignoli-type characterizations for the well-posedness. We prove that the well-posedness…