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This category marks all the ICTP posts containing the pdf file of the paper/book.

An extension of the second order dynamical system that models Nesterov’s convex gradient method

7 years ago

Abstract In this paper we deal with a general second order continuous dynamical system associated to a convex minimization problem…

New optimization algorithms for neural network training using operator splitting techniques

7 years ago

AbstractWe present a new type of optimization algorithms, adapted for neural network training. These algorithms are based upon sequential operator…

A gradient-type algorithm with backward inertial steps associated to a nonconvex minimization problem

7 years ago

AbstractWe investigate an algorithm of gradient type with a backward inertial step in connection with the minimization of a nonconvex…

Properties of the solutions of a system of differential equations with maxima, via weakly picard operator theory

7 years ago

AbstractIn this paper we present some properties of the solutions of a system of differential equation with maxima. Existence, uniqueness, inequalities…

Iterates of Bernstein type operators on a square with one curved side via contraction principle

7 years ago

AbstractGiven a function defined on a square with one curved side, we consider some Bernstein-type operators as well as their…

An iterative method for a functional-differential equation of second order with mixed type argument

7 years ago

Abstract In this paper we shall study a functional differential equation of second order with mixed type argument. For this…

Ulam stability for a delay differential equation

7 years ago

AbstractWe study the Ulam–Hyers stability and generalized Ulam–Hyers–Rassias stability for a delay differential equation. Some examples are given. AuthorsD. Otrocol (Tiberiu…

Iterates of multivariate Cheney-Sharma operators

7 years ago

AbstractUsing the weakly Picard operators technique, we study the convergence of the iterates of some hivariate and trivariate Cheney-Sharma operators.…

Systems of functional differential equations with maxima, of mixed type

7 years ago

AbstractIn this paper we study some properties of the solutions of a second order system of functional differential equations with maxima,…

Some properties of solutions of a functional-differential equation of second order with delay

7 years ago

AbstractExistence, uniqueness, data dependence (monotony, continuity, and differentiability with respect to parameter), and Ulam-Hyers stability results for the solutions of…

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