This paper aims at studying the convergence of some iteration processes for mixed variational inequalities with convex nondifferentiable functionals and J -potential, J -coercive, J -pseudomonotone or J -strongly inverse monotone operators in uniformly smooth Banach spaces. Our results generalize corresponding theorems of [I.B. Badriev, O.A. Zadvornov, A decomposition method for variational ine...

We give several sufficient conditions on a pair of Banach spaces X and Y under which each Lipschitz mapping from a domain in X to Y has, for every ǫ > 0, a point of ǫ-Fréchet differentiability. Most of these conditions are stated in terms of the moduli of asymptotic smoothness and convexity, notions which appeared in the literature under a variety of names. We prove, for example, that for ∞ > r...

Themain purpose of this paper is to introduce a new hybrid iterative scheme for finding a common element of set of solutions for a system of generalized mixed equilibrium problems, set of common fixed points of a family of quasi-φ-asymptotically nonexpansivemappings, and null spaces of finite family of γ-inverse strongly monotone mappings in a 2-uniformly convex and uniformly smooth real Banach...

At the working heart of policy iteration algorithms commonly used and studied in discounted setting reinforcement learning, evaluation step estimates value states with samples from a Markov reward process induced by following decision process. We propose simple efficient estimator called loop that exploits regenerative structure processes without explicitly estimating full model. Our method enj...

Radio images of protoplanetary disks demonstrate that dust grains tend to organize themselves into rings. These rings may be a consequence trapping within gas pressure maxima wherein the local high dust-to-gas ratio is expected trigger formation planetesimals and eventually planets. We revisit behavior near perturbations enforced by planet in two-dimensional, shearing box simulations. While col...