On Series-Like Iterative Equation with a General Boundary Restriction

On Series-Like Iterative Equation with a General Boundary Restriction

By means of Schauder fixed point theorem and Banach contraction principle, we investigate the existence and uniqueness of Lipschitz solutions of the equation . Moreover, we get that the solution depends continuously on . As a corollary, we investigate the existence and uniqueness of Lipschitz soluti...

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Veröffentlicht in:Fixed point theory and applications (Hindawi Publishing Corporation) 2009-01, Vol.2009 (1), Article 892691
Hauptverfasser: Song, Wei, Yang, Guo-qiu, Lei, Feng-chun
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applications of Mathematics
Differential Geometry
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Research Article
Topology
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Zusammenfassung:By means of Schauder fixed point theorem and Banach contraction principle, we investigate the existence and uniqueness of Lipschitz solutions of the equation . Moreover, we get that the solution depends continuously on . As a corollary, we investigate the existence and uniqueness of Lipschitz solutions of the series-like iterative equation with a general boundary restriction, where is a given Lipschitz function, and are compact convex subsets of with nonempty interior.
ISSN:1687-1812
1687-1820
1687-1812
DOI:10.1155/2009/892691