Release Time:2019-03-10  Hits:

Indexed by: Journal Article

Date of Publication: 2009-01-01

Journal: FIXED POINT THEORY AND APPLICATIONS

Included Journals: Scopus、SCIE

Volume: 2009

ISSN: 1687-1820

Abstract: 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