A New Perspective on Discrete Orlicz Spaces with its Natural 2-Norm
Discrete Orlicz Space and its Natural $2$-Norm
Résumé
In this note, we introduce the discrete Orlicz space that is equipped with a $2$-norm which can be viewed as a generalization of its usual norm. Using a norm that is obtained from the $2$-norm, we show that the discrete Orlicz space is complete with respect to $2$-norm. Use this fact to prove the fixed point theorem for the discrete Orlicz space that is equipped with a $2$-norm.
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Publiée
2025-09-18
Numéro
Rubrique
Research Articles
Copyright (c) 2025 Boletim da Sociedade Paranaense de Matemática
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