Fixed points of some nonlinear operators in spaces of multifunctions and the Ulam stability

We prove a fixed point theorem for nonlinear operators, acting on some function spaces (of set-valued maps), which satisfy suitable inclusions. We also show some applications of it in the Ulam type stability.

Saved in:
Bibliographic Details
Published in:Journal of fixed point theory and applications 2017-12, Vol.19 (4), p.2441-2448
Main Authors: Brzdęk, Janusz, Piszczek, Magdalena
Format: Article
Language:English
Subjects:
Analysis
Fixed points (mathematics)
Function space
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
Operators
Stability
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We prove a fixed point theorem for nonlinear operators, acting on some function spaces (of set-valued maps), which satisfy suitable inclusions. We also show some applications of it in the Ulam type stability.
ISSN:1661-7738
1661-7746
DOI:10.1007/s11784-017-0441-1