Journal : Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
Article : Measures of noncompactness related to monotonicity
Authors : Anioł, G.Faculty of Mathematics and Computer Science Adam Mickiewicz University, Jana Matejki 48/49, 60-769 Poznań, Poland, firstname.lastname@example.org, Banaś, J.Department of Mathematics Technical University of Rzeszów W.Pola 2, 35-959 Rzeszów, email@example.com,
Abstract : We investigate measures of noncompactness related to the monotonicity of functions. Several properties of these measures of non-compactness are derived. Particularly we give the estimates of these measures with help of the Hausdorff distance from the family of nondecreasing or nonincreasing functions. Such a result indicates some connections with approximation theory.