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We consider the equation:\n  \\[X(t) = \\Psi(t) + \\int_t^b P\\big(t, s, X(s), \\aleph(t, s), \\aleph(s, t), \\mathbb{E}[X(s)], \\mathbb{E}[\\aleph(t, s)], \\mathbb{E}[\\aleph(s, t)]\\big) ds - \\int_t^b \\aleph(t, s) dB_s, \\]\n  where the focus lies on establishing the existence and uniqueness of adapted M-solutions under appropriate conditions. 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Asadzade, Nazim I. Mahmudov","submitted_at":"2024-11-29T01:57:52Z","abstract_excerpt":"This paper investigates the well-posedness of singular mean-field backward stochastic Volterra integral equations (MF-BSVIEs) in infinite-dimensional spaces. We consider the equation:\n  \\[X(t) = \\Psi(t) + \\int_t^b P\\big(t, s, X(s), \\aleph(t, s), \\aleph(s, t), \\mathbb{E}[X(s)], \\mathbb{E}[\\aleph(t, s)], \\mathbb{E}[\\aleph(s, t)]\\big) ds - \\int_t^b \\aleph(t, s) dB_s, \\]\n  where the focus lies on establishing the existence and uniqueness of adapted M-solutions under appropriate conditions. 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