supported by the National Science Foundation of China under Grant Nos.71171164 and 70471057;the Doctorate Foundation of Northwestern Polytechnical University under Grant No.CX201235
This paper studies the nonlinear variational inequality with integro-differential term arising from valuation of American style double barrier option. First, the authors use the penalty method to transform the variati...
supported by the National Natural Science Foundation of China under Grant No. 10771050.
The purpose of this paper is to present a general iterative scheme as below:{F(un,y)+1/rn(y-un,un-xn)≥0,y∈C,xn+1=(I-αnA)Sun+αnγf(xn)and to prove that, if {an} and {rn} satisfy appropriate conditions, ...
supported by the National Natural Science Foundation of China under Grant No. 10771050
This paper introduces a three-step iteration for finding a common element of the set of fixedpoints of a nonexpansive mapping and the set of solutions of the variational inequality for an inverse-strongly monotone map...
The purpose of this paper is to obtain the optimal error estimates of O(h) for the highly nonconforming elements to a fourth order variational inequality with curvature obstacle in a convex domain with simply supporte...
This research is supported by the National Natural Science Foundation of China
We study a class of discounted models of singular stochastic control. In thiskind of models, not only the structure of cost function has been extended to some general type, butalso the state can be represented as the ...