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论文类型：期刊论文

发表时间：2009-01-01

发表刊物：FIXED POINT THEORY AND APPLICATIONS

收录刊物：Scopus、SCIE

卷号：2009

ISSN号：1687-1820

摘要：By means of Schauder fixed point theorem and Banach contraction principle, we investigate the existence and uniqueness of Lipschitz solutions of the equation rho(f) circle f = F. Moreover, we get that the solution f depends continuously on F. As a corollary, we investigate the existence and uniqueness of Lipschitz solutions of the series-like iterative equation Sigma(infinity)(n=1) a(n)f(n)(x) = F(x), x is an element of B with a general boundary restriction, where F : B -> A is a given Lipschitz function, and B, A are compact convex subsets of R(N) with nonempty interior. Copyright (C) 2009