Iterative equations in Banach spaces

[摘要] Let X be a Banach space, let Graphics and let P: K(X) --> K(X), F is an element of K(X). By applying the Banach contraction principle we prove that if P is sufficiently close (in a certain sense) to the identity then the equation Pf = F has a unique solution f. As a corollary we obtain results on iterative equations of the types Graphics with operator coefficients in Banach spaces. (C) 2004 Published by Elsevier Inc.

[发布日期] 2004-11-15

[关键词] iterative functional equation;fixed point method