In this paper, we study dynamically consistent nonlinear evaluations in Lp （1 〈 p 〈 2）. One of our aim is to obtain the following result： under a domination condition, an Ft-consistent evaluation is an Sg-evaluat...In this paper, we study dynamically consistent nonlinear evaluations in Lp （1 〈 p 〈 2）. One of our aim is to obtain the following result： under a domination condition, an Ft-consistent evaluation is an Sg-evaluation in Lp. Furthermore, without the assumption that the generating function g（t, w, y, z） is continuous with respect to t, we provide some useful characterizations of an εg-evaluation by g and give some applications. These results include and extend some existing results.展开更多
基金Supported by National Natural Science Foundation of China(Grant No.11171179)Doctoral Program Foundation of Ministry of Education of China(Grant No.20123705120005)+3 种基金Natural Science Foundation of Shandong Province of China(Grant No.ZR2012AQ009)Postdoctoral Science Foundation of China(Grant No.2012M521301)Doctoral Foundation of Qufu Normal University(Grant No.BSQD20110128)Youth Foundation of Qufu Normal University(Grant No.XJ201111)
文摘In this paper, we study dynamically consistent nonlinear evaluations in Lp （1 〈 p 〈 2）. One of our aim is to obtain the following result： under a domination condition, an Ft-consistent evaluation is an Sg-evaluation in Lp. Furthermore, without the assumption that the generating function g（t, w, y, z） is continuous with respect to t, we provide some useful characterizations of an εg-evaluation by g and give some applications. These results include and extend some existing results.
