Stochastic monotonicity and order-preservation for a type of nonlinear semigroups

In this paper, we construct a family of nonlinear operators by decoupled FBSDEs and prove that it forms a nonlinear semigroup under a binary operation. Moreover, we obtain the equivalent conditions of the monotonicity and order-preservation of semigroups.

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Year of publication:	2013
Authors:	Zhang, Na ; Jia, Guangyan
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 83.2013, 1, p. 422-429
Publisher:	Elsevier
Subject:	Nonlinear semigroup \| Order-preservation \| Monotonicity \| FBSDE

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://ebvufind01.dmz1.zbw.eu/10010593917