Article
Uniformly Lipschitzian mappings in modular function spaces
Author/s | Domínguez Benavides, Tomás
Khamsi, Mohamed Amine Samadi, Sedki |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2001-10 |
Deposit Date | 2016-09-22 |
Published in |
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Abstract | Let ρ be a convex modular function satisfying a ∆2-type condition and Lρ the
corresponding modular space. Assume that C is a ρ-bounded and ρ-a.e compact subset of Lρ and T : C → C is a k-uniformly Lipschitzian mapping. ... Let ρ be a convex modular function satisfying a ∆2-type condition and Lρ the corresponding modular space. Assume that C is a ρ-bounded and ρ-a.e compact subset of Lρ and T : C → C is a k-uniformly Lipschitzian mapping. We prove that T has a fixed point if k < (Ñ(Lρ))−1/2 where Ñ(Lρ) is a geometrical coefficient of normal structure. We also show that Ñ(Lρ) < 1 in modular Orlicz spaces for uniformly convex Orlicz functions. |
Funding agencies | Dirección General de Investigación Científica y Técnica (DGICYT). España Junta de Andalucía |
Project ID. | PB-96-1338-C01-C02
PAI-FMQ-0127 |
Citation | Domínguez Benavides, T., Khamsi, M.A. y Samadi, S. (2001). Uniformly Lipschitzian mappings in modular function spaces. Nonlinear Analysis: Theory, Methods and Applications, 46 (2), 267-278. |
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