A note on the admissibility of modular function spaces

Diana Caponetti; Grzegorz Lewicki

A note on the admissibility of modular function spaces

Diana Caponetti, Grzegorz Lewicki

Matematica e Informatica

Risultato della ricerca: Article › peer review

1 Citazioni (Scopus)

Abstract

In this paper we prove the admissibility of modular function spaces Eρ considered and defined by Kozłowski in [17]. As an application we get that any compact and continuous mapping T:Eρ→Eρ has a fixed point. Moreover, we prove that the same holds true for any retract of Eρ.

Lingua originale	English
pagine (da-a)	1331-1342
Numero di pagine	12
Rivista	Journal of Mathematical Analysis and Applications
Volume	448
Stato di pubblicazione	Published - 2017

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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abstract = "In this paper we prove the admissibility of modular function spaces Eρ considered and defined by Koz{\l}owski in [17]. As an application we get that any compact and continuous mapping T:Eρ→Eρ has a fixed point. Moreover, we prove that the same holds true for any retract of Eρ.",

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AU - Lewicki, Grzegorz

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AB - In this paper we prove the admissibility of modular function spaces Eρ considered and defined by Kozłowski in [17]. As an application we get that any compact and continuous mapping T:Eρ→Eρ has a fixed point. Moreover, we prove that the same holds true for any retract of Eρ.

UR - http://hdl.handle.net/10447/218721

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SP - 1331

EP - 1342

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

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