On Series-Like Iterative Equation with a General Boundary Restriction

Autor: Lei Feng-chun, Song Wei, Yang Guo-qiu
Jazyk: angličtina
Rok vydání: 2009
Předmět:
Zdroj: Fixed Point Theory and Applications, Vol 2009, Iss 1, p 892691 (2009)
Druh dokumentu: article
ISSN: 1687-1820
1687-1812
Popis: Abstract 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.
Databáze: Directory of Open Access Journals
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