Measures of noncompactness related to monotonicity

• Autorzy: Banaś J. , Olszowy L.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

measure of noncompactness; monotone functions; Hausdorff distance

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2001
• Tom: [Z] 41
• Strony: 13--23
• Opis fizyczny: bibliogr. 6 poz.

Twórcy

autor

Banaś J.

autor

Olszowy L.

• Department of Mathematics Technical University of Rzeszów W.Pola 2, 35-959 Rzeszów,