Title : ( The Fixed Point Alternative Theorem and Set-Valued Functional Equations )
Authors: Seyyed Alireza Kamel Mirmostafaee , mostafa mahdavi ,
Full TextAbstract
We use the fixed point alternative theorem to prove the stability of the set-valued functional equations. We discuss on the generalized Ulam-Hyers stability for set-valued functional equations, including the nonlinear set-valued functional equations, the linear set-valued functional equations, and a generalization of set-valued functional equation for the square root spiral. Firstly, we discuss on the set-valued functional equation $$c(x)F(h(x)) = F(x).$$ This result enable us to prove the stability of some set-valued functional equations.
Keywords
, Set-valued mappings, functional inequalities, non-expensive mappings.
@article{paperid:1033105,
author = {Kamel Mirmostafaee, Seyyed Alireza and Mahdavi, Mostafa},
title = {The Fixed Point Alternative Theorem and Set-Valued Functional Equations},
journal = {Fixed Point Theory},
year = {2014},
volume = {2},
number = {15},
month = {October},
issn = {1583-5022},
pages = {495--500},
numpages = {5},
keywords = {Set-valued mappings; functional inequalities; non-expensive mappings.},
}
%0 Journal Article
%T The Fixed Point Alternative Theorem and Set-Valued Functional Equations
%A Kamel Mirmostafaee, Seyyed Alireza
%A Mahdavi, Mostafa
%J Fixed Point Theory
%@ 1583-5022
%D 2014
