A local and semi-local convergence is developed of a class iterative methods without derivatives for solving nonlinear Banach space valued operator equations under the classical Lipschitz conditions first-order divided differences. Special cases this method are well-known algorithms, in particular, Secant, Kurchatov, Steffensen as well Newton method. For analysis, we use technique recurrent fun...

in the present paper, we introduce some new sequence spaces derived by riesz mean and the notions of almost and strongly almost convergence in a real 2-normed space. some topological properties of these spaces are investigated. further, new concepts of statistical convergence which will be called weighted almost statistical convergence, almost statistical convergence and statistical convergence...

We study a Data-Driven approach to inference in physical systems measure-theoretic framework. The under consideration are characterized by two measures defined over the phase space: (i) A likelihood measure expressing that state of system be admissible, sense satisfying all governing laws; (ii) material local observed laboratory. assume deterministic loading, which means first is supported on l...

We show that a piecewise linear finite element approximation of the obstacle problem gives an approximate free boundary converges, in an appropriate distance, to the free boundary of the continuous problemunder a stability condition on the obstacle.

In this paper, the online variants of the classical Frank-Wolfe algorithm are considered. We consider minimizing the regret with a stochastic cost. The online algorithms only require simple iterative updates and a non-adaptive step size rule, in contrast to the hybrid schemes commonly considered in the literature. Several new results are derived for convex and non-convex losses. With a strongly...