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.
Caponetti, D., Lewicki, G. (2017). A note on the admissibility of modular function spaces. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 448(2), 1331-1342 [10.1016/j.jmaa.2016.11.047].
A note on the admissibility of modular function spaces
CAPONETTI, Diana
;
2017-01-01
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.
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