Perov’s theorem applied to systems of equations
Abstract In this paper, we consider systems of equations having a linear part and also a nonlinear part. We give…
Fixed point theory
On the iterates of uni- and multidimensional operators
Abstract The problem of the convergence of the iterates of operators or of a sequence of operators is discussed in…
Energy-based localization of positive solutions for stationary Kirchhoff-type equations and systems
Abstract In this paper, we are concerned with positive solutions for the Dirichlet boundary value problem for equations and systems…
Nonlinear alternatives of hybrid type for nonself vector-valued maps and application
Abstract In this paper we obtain nonlinear alternatives of Leray-Schauder and Monch type for nonself vector-valued operators, under hybrid conditions…
Inequalities and approximation theory
Abstract The purpose of this paper is twofold. Firstly, we present an equivalence property involving isotonic linear functionals. Secondly, by…
Iterates of some bivariate approximation process via weakly Picard operators
Abstract In the present paper we introduce a general class of positive operators of discrete type acting on the space…
Iterates of a class of discrete linear operators via contraction principle
Abstract In this paper we are concerned with a general class of positive linear operators of discrete type. Based on…
Iterates of multidimensional approximation operators via Perov theorem
AbstractThe starting point is an approximation process consisting of linear and positive operators. The purpose of this note is to…
Krasnoselskii type theorems in product Banach spaces and applications to systems of nonlinear transport equations and mixed fractional differential equations
AbstractIn this paper, we use a new technique for the treatment of systems based on the advantage of vector-valued norms…
How many steps still left to x*?
We survey the convergence orders of sequences and show the orders of the basic iterative sequences for solving nonlinear equations…