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    A mixed relaxed-singular optimal controls for systems of forward-backward stochastic differential equations of mean-field type
    (Maltepe Üniversitesi, 2019) Boulakhras, Gherbal; Abdelhakim, Ninouh
    In this work, we consider a singular control problem for systems of forward-backward stochastic differential equations of mean-field type (MF-FBSDEs) in which the control variable consists of two components: an absolutely continuous control and a singular one. The coefficients depend on the states of the solution processes as well as their distribution via the expectation of some function of states. Moreover the cost functional is also of mean-field type. We prove in particular, the existence of optimal relaxed-singular controls as well as optimal regular-singular controls for systems of MF-FBSDEs.