Next Article in Journal
Interval-Valued Fuzzy Cooperative Games Based on the Least Square Excess and Its Application to the Profit Allocation of the Road Freight Coalition
Next Article in Special Issue
On Interpolative Hardy-Rogers Type Contractions
Previous Article in Journal
Online Road Detection under a Shadowy Traffic Image Using a Learning-Based Illumination-Independent Image
Previous Article in Special Issue
Radial Symmetry for Weak Positive Solutions of Fractional Laplacian with a Singular Nonlinearity
Open AccessArticle

Modular Uniform Convexity of Lebesgue Spaces of Variable Integrability

1
Department of Mathematics, College of Sciences, King Saud University, Riyadh 11451, Saudi Arabia
2
Department of Mathematical Sciences, University of Texas at El Paso, El Paso, TX 79968, USA
*
Author to whom correspondence should be addressed.
Symmetry 2018, 10(12), 708; https://doi.org/10.3390/sym10120708
Received: 12 November 2018 / Revised: 29 November 2018 / Accepted: 29 November 2018 / Published: 3 December 2018
(This article belongs to the Special Issue Fixed Point Theory and Fractional Calculus with Applications)
We analyze the modular geometry of the Lebesgue space with variable exponent, L p ( · ) . Our central result is that L p ( · ) possesses a modular uniform convexity property. Part of the novelty is that the property holds even in the case sup x Ω p ( x ) = . We present specific applications to fixed point theory. View Full-Text
Keywords: fixed point theorem; modular uniform convexity; modular vector spaces; Nakano spaces; uniform convexity; variable exponent spaces fixed point theorem; modular uniform convexity; modular vector spaces; Nakano spaces; uniform convexity; variable exponent spaces
MDPI and ACS Style

Bachar, M.; Mendez, O.; Bounkhel, M. Modular Uniform Convexity of Lebesgue Spaces of Variable Integrability. Symmetry 2018, 10, 708.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Search more from Scilit
 
Search
Back to TopTop