On the Lifshits Constant for Hyperspaces

K. Leśniak. "On the Lifshits Constant for Hyperspaces." Bulletin of the Polish Academy of Sciences. Mathematics 55.2 (2007): 155-160. <http://eudml.org/doc/280164>.

@article{K2007,
abstract = {The Lifshits theorem states that any k-uniformly Lipschitz map with a bounded orbit on a complete metric space X has a fixed point provided k < ϰ(X) where ϰ(X) is the so-called Lifshits constant of X. For many spaces we have ϰ(X) > 1. It is interesting whether we can use the Lifshits theorem in the theory of iterated function systems. Therefore we investigate the value of the Lifshits constant for several classes of hyperspaces.},
author = {K. Leśniak},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {Lifshitz constant; hyperspace; Hausdorff metric; Pompeiu metric; -product; product},
language = {eng},
number = {2},
pages = {155-160},
title = {On the Lifshits Constant for Hyperspaces},
url = {http://eudml.org/doc/280164},
volume = {55},
year = {2007},
}

TY - JOUR
AU - K. Leśniak
TI - On the Lifshits Constant for Hyperspaces
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2007
VL - 55
IS - 2
SP - 155
EP - 160
AB - The Lifshits theorem states that any k-uniformly Lipschitz map with a bounded orbit on a complete metric space X has a fixed point provided k < ϰ(X) where ϰ(X) is the so-called Lifshits constant of X. For many spaces we have ϰ(X) > 1. It is interesting whether we can use the Lifshits theorem in the theory of iterated function systems. Therefore we investigate the value of the Lifshits constant for several classes of hyperspaces.
LA - eng
KW - Lifshitz constant; hyperspace; Hausdorff metric; Pompeiu metric; -product; product
UR - http://eudml.org/doc/280164
ER -