Fixed point results for non-self operators R₊^{m}-metric spaces
Abstract The purpose of this paper is to discuss some problems of the fixed point theory for non-self operators on…
Fixed point theory
Fixed Point Results and the Ekeland Variational Principle in Vector B-Metric Spaces
Abstract In this paper, we extend the concept of b-metric spaces to the vectorial case, where the distance is vector…
A fixed-point approach to control problems for Kolmogorov type second-order equations and systems
Abstract In this paper, the second-order differential equations and systems of Kolmogorov type are defined. With reference to population dynamics…
Integral equation with maxima via fibre contraction principle
Abstract The aim of this paper is to emphasize the role of the fibre contraction principle in the study of…
A Mutual Control Problem for Semilinear Systems via Fixed Point Approach
Abstract In this paper, we introduce and discuss the concept of a mutual control problem. Our analysis relies on a…
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…
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…