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In this paper, we study a class of mean field type FBSDEs. We propose a classof motonotinity conditions, under which we show the uniformly Lipschitzcontinuity of the decoupling field and obtain the existence and uniqueness ofsolution. We further provide a representation result for the solution and thedecoupling field. Finally, we obtain the regularity of the decoupling field andestablish global well-posedness of classical solutions to related masterequations.

Well-posedness for a class of mean field type FBSDEs and classical solutions of related master equations