Localization of solutions for semilinear problems with poly-Laplace type operators
Abstract The paper presents an abstract theory regarding the problems with semilinear operator equations involving iterates of a strongly monotone…
Nonlinear analysis
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…
Analysis of Navier–Stokes Models for Flows in Bidisperse Porous Media
Abstract Having in view a model proposed by Nield and Kuznetsov (Transp Porous Media 59:325–339, 2005; Transp Porous Media 96:495–499,…
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…
Existence and uniqueness of the solution for an integral equation with supremum
AbstractFollowing the idea of T. Wongyat and W. Sintunavarat, we obtain some existence and uniqueness results for the solution of…