On Regulated Functions
Journal Title: Journal of Mathematics and Applications - Year 2017, Vol 40, Issue
Abstract
The main purpose of this review article is to present the concept of a regulated function and to indicate the connection of the class of regulated functions with other significant classes of functions. In particular, we give a characterization of regulated functions in terms of step functions and we show that the linear space of regulated functions forms a Banach space under the classical supremum norm.
Authors and Affiliations
Józef Banaś, Mariola Kot
Keywords
Related Articles
- EP ID EP341817
- DOI 10.7862/rf.2017.2
- Views 98
- Downloads 0
Approximate controllability of the impulsive semilinear heat equation
In this paper we apply Rothe’s Fixed Point Theorem to prove the interior approximate controllability of the following semilinear impulsive Heat Equation [formula], where k = 1,2,...,p, Ω is a bounded domain in R^N (N ≥ 1...
Structure of solutions of nonautonomous optimal control problems in metric spaces
We establish turnpike results for a nonautonomous discrete-time optimal control system describing a model of economic dynamics.
On the Exponential Stability of a Neutral Differential Equation of First Order
In this work, we establish some assumptions that guaranteeing the global exponential stability (GES) of the zero solution of a neutral differential equation (NDE). We aim to extend and improves some results found in the...
The Real and Complex Convexity
We prove that the holomorphic differential equation [formula] (φ: C → C be a holomorphic function and (γ,c) ∈ C^2) plays a classical role on many problems of real and complex convexity. The condition exactly [formula] (i...
FG-coupled Fixed Point Theorems for Contractive Type Mappings in Partially Ordered Metric Spaces
In this paper we prove FG-coupled fixed point theorems for Kannan, Reich and Chatterjea type mappings in partially ordered complete metric spaces using mixed monotone property.