Compactness result and its applications in integral equations

• Autorzy: Krukowski M. , Przeradzki B.

Identyfikatory

DOI

10.1515/jaa-2016-0016

• Języki publikacji: EN

Abstrakty

EN

A version of the Arzelà–Ascoli theorem for X being a σ-locally compact Hausdorff space is proved. The result is used in proving compactness of Fredholm, Hammerstein and Urysohn operators. Two fixed point theorems, for Hammerstein and Urysohn operators, are derived on the basis of Schauder fixed point theorem.

Słowa kluczowe

EN

Arzela–Ascoli theorem; compact operators; Fredholm; Hammerstein; Urysohn

PL

twierdzenie Arzeli-Ascolego; operator zwarty; Fredholm; Hammerstein; Urysohn

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2016
• Tom: Vol. 22, nr 2
• Strony: 153--161
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Krukowski M.

• Institute of Mathematics, Łódź University of Technology, Wólczańska 215,90-924 Łódź, Poland

autor

Przeradzki B.

• Institute of Mathematics, Łódź University of Technology, Wólczańska 215, 90-924 Łódź, Poland

Bibliografia

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