Katarzyna Sajbura. "On a linear functional equation with a mean-type mapping having no fixed points." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 25.1 (2005): 27-46. <http://eudml.org/doc/271543>.
@article{KatarzynaSajbura2005,
abstract = {
Our aim is to study continuous solutions φ of the classical linear iterative equation
φ(f(x,y)) = g(x,y)φ(x,y) + h(x,y),
where the given function f is defined as a pair of means. We are interested in the case when f has no fixed points. In turns out that in such a case continuous solutions of (1) depend on an arbitrary function.
},
author = {Katarzyna Sajbura},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
keywords = {linear functional equation; iteration; mean; continuous solution; solution depending on an arbitrary function; linear iterative equation},
language = {eng},
number = {1},
pages = {27-46},
title = {On a linear functional equation with a mean-type mapping having no fixed points},
url = {http://eudml.org/doc/271543},
volume = {25},
year = {2005},
}
TY - JOUR
AU - Katarzyna Sajbura
TI - On a linear functional equation with a mean-type mapping having no fixed points
JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization
PY - 2005
VL - 25
IS - 1
SP - 27
EP - 46
AB -
Our aim is to study continuous solutions φ of the classical linear iterative equation
φ(f(x,y)) = g(x,y)φ(x,y) + h(x,y),
where the given function f is defined as a pair of means. We are interested in the case when f has no fixed points. In turns out that in such a case continuous solutions of (1) depend on an arbitrary function.
LA - eng
KW - linear functional equation; iteration; mean; continuous solution; solution depending on an arbitrary function; linear iterative equation
UR - http://eudml.org/doc/271543
ER -
