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.

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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
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description 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.
doi_str_mv 10.1007/s11784-017-0441-1
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subjects Analysis
Fixed points (mathematics)
Function space
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
Operators
Stability
title Fixed points of some nonlinear operators in spaces of multifunctions and the Ulam stability
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