Asymptotically Nonexpansive Mappings in Modular Function Spaces

In this paper, we prove that if ρ is a convex, σ-finite modular function satisfying a Δ2-type condition, C a convex, ρ-bounded, ρ-a.e. compact subset of Lρ, and T: C→C a ρ-asymptotically nonexpansive mapping, then T has a fixed point. In particular, any asymptotically nonexpansive self-map defined o...

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Veröffentlicht in:	Journal of mathematical analysis and applications 2002-01, Vol.265 (2), p.249-263
Hauptverfasser:	Dominguez-Benavides, T., Khamsi, M.A., Samadi, S.
Format:	Artikel
Sprache:	eng
Schlagworte:	asymptotically nonexpansive mappings Exact sciences and technology fixed point Mathematics modular functions Sciences and techniques of general use
Online-Zugang:	Volltext
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