A Fixed Point Theorem in the Lebesgue Spaces of Variable Integrability Lp(·)

Amnay El Amri; Mohamed Amine Khamsi; Osvaldo D. Méndez

doi:10.3390/sym15111999

A Fixed Point Theorem in the Lebesgue Spaces of Variable Integrability L^p(·)

Amnay El Amri, Mohamed Amine Khamsi, Osvaldo D. Méndez

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3 Scopus citations

Abstract

We establish a fixed point property for the Lebesgue spaces with variable exponents (Formula presented.), focusing on the scenario where the exponent closely approaches 1. The proof does not impose any additional conditions. In particular, our investigation centers on (Formula presented.) -non-expansive mappings defined on convex subsets of (Formula presented.), satisfying the “condition of uniform decrease” that we define subsequently.

Original language	British English
Article number	1999
Journal	Symmetry
Volume	15
Issue number	11
DOIs	https://doi.org/10.3390/sym15111999
State	Published - Nov 2023

Keywords

electrorheological fluid
fixed point
modular vector space
Nakano
strictly convex
uniformly convex

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10.3390/sym15111999

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KW - modular vector space

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KW - strictly convex

KW - uniformly convex

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A Fixed Point Theorem in the Lebesgue Spaces of Variable Integrability L^p(·)

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Keywords

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