In this paper, we study a kind of Stackelberg game where the controlled systems are described by backward stochastic differential delayed equations (BSDDEs). By introducing new adjoint equation, establish sufficient verification theorem for optimal strategies leader and follower in general case. Then, focus on linear–quadratic (LQ) with delay. The equilibrium is presented generalized fully coup...

We shed light on the structure of the “three-operator” version of the forward-Douglas– Rachford splitting algorithm for nding a zero of a sum of maximally monotone operators A+B+C, where B is cocoercive, involving only the computation of B and of the resolvent ofA and of C, separately. We show that it is a straightforward extension of a xed-point algorithm proposed by us as a generalization o...

Abstract In this work, we prove the weak convergence of a one-step self-adaptive algorithm to solution sum two monotone operators in 2-uniformly convex and uniformly smooth real Banach spaces. We give numerical examples infinite-dimensional spaces compare our result with some existing algorithms. Finally, results extend complement several literature.

This paper introduces backward conditioning. Like forward conditioning (used in conditioned slicing), backward conditioning consists of specialising a program with respect to a condition inserted into the program. However, whereas forward conditioning deletes statements which are not executed when the initial state satisfies the condition, backward conditioning deletes statements which cannot c...

OBJECTIVE To use forward dynamic simulations of forward and backward pedaling in order to determine whether backward pedaling offers theoretical advantages over forward pedaling to rehabilitate common knee disorders.DESIGN. A comparison of knee joint loads was performed during forward and backward pedaling.BACKGROUND. Pedaling has been shown to be an effective rehabilitation exercise for a vari...

The purpose of this paper is to study the dynamical behavior of the sequence produced by a forward-backward algorithm, involving two random maximal monotone operators and a sequence of decreasing step sizes. Defining a mean monotone operator as an Aumann integral, and assuming that the sum of the two mean operators is maximal (sufficient maximality conditions are provided), it is shown that wit...

We investigate the asymptotic behavior of a stochastic version of the forward-backward splitting algorithm for finding a zero of the sum of a maximally monotone set-valued operator and a cocoercive operator in Hilbert spaces. Our general setting features stochastic approximations of the cocoercive operator and stochastic perturbations in the evaluation of the resolvents of the set-valued operat...

The combined LEP/SLD data on the bb̄ forward-backward asymmetry from the Z-pole measurements may imply the presence of new physics in the Zbb̄ couplings. In general, the effect of new physics can be parameterized by SUC(3)× SUL(2)×UY (1) invariant higher dimensional operators. By fitting the recently announced LEP/SLD data on Ab and Rb, the size of the coupling strengths of these operators can be...