Document Type
Report
Source Publication Title
Technical Report 34
Abstract
In this paper we develop a theory of fixed points of a nonlinear operator, T, whose domain is the Banach space of continuous functions defined on an interval [a,b] with range in a Banach space E denoted by [see pdf for notation] and the range of the nonlinear operator T is in E. As we shall see delay differential equations form an important example of such a nonlinear operator. We shall obtain analogues of the contraction mapping principle, Krasnoselskii's fixed point theorem as well as a result on the convergence of iterations of quasi-nonexpansive mappings.
Disciplines
Mathematics | Physical Sciences and Mathematics
Publication Date
1-1-1975
Language
English
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
Bernfeld, Stephen R., "Fixed Point Theorms of Operators with PPF Dependence in Banach Spaces" (1975). Mathematics Technical Papers. 342.
https://mavmatrix.uta.edu/math_technicalpapers/342