Generalized trend constants of Lipschitz mappings
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2018)
- Volume: 72, Issue: 2
- ISSN: 0365-1029
Access Full Article
top
Abstract
topHow to cite
topMariusz Szczepanik. "Generalized trend constants of Lipschitz mappings." Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica 72.2 (2018): null. <http://eudml.org/doc/290757>.
@article{MariuszSzczepanik2018,
abstract = {In 2015, Goebel and Bolibok defined the initial trend coefficient of a mapping and the class of initially nonexpansive mappings. They proved that the fixed point property for nonexpansive mappings implies the fixed point property for initially nonexpansive mappings. We generalize the above concepts and prove an analogous fixed point theorem. We also study the initial trend coefficient more deeply.},
author = {Mariusz Szczepanik},
journal = {Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica},
keywords = {Banach space; Lipschitz mapping; fixed point},
language = {eng},
number = {2},
pages = {null},
title = {Generalized trend constants of Lipschitz mappings},
url = {http://eudml.org/doc/290757},
volume = {72},
year = {2018},
}
TY - JOUR
AU - Mariusz Szczepanik
TI - Generalized trend constants of Lipschitz mappings
JO - Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
PY - 2018
VL - 72
IS - 2
SP - null
AB - In 2015, Goebel and Bolibok defined the initial trend coefficient of a mapping and the class of initially nonexpansive mappings. They proved that the fixed point property for nonexpansive mappings implies the fixed point property for initially nonexpansive mappings. We generalize the above concepts and prove an analogous fixed point theorem. We also study the initial trend coefficient more deeply.
LA - eng
KW - Banach space; Lipschitz mapping; fixed point
UR - http://eudml.org/doc/290757
ER -
References
top- Bolibok, K., Goebel, K., Trend constants for Lipschitz mappings, Fixed Point Theory 16 (2015), 215-224.
- Da Prato, G., Zabczyk, J., Stochastic Equations in Infinite Dimensions, Cambridge University Press, Cambridge, 1992.
- Goebel, K., Minimal displacement and trend constants for Lipschitz mappings, in: Proceedings of the 9th International Conference on Nonlinear Analysis and Convex Analysis, (2016), 111-121.
- Ioffe, A. D., Tihomirov, V. M., Theory of Extremal Problems, North-Holland, Amsterdam, 1979.
- Sato, K., On the generators of non-negative contraction semi-groups in Banach lattices, J. Math. Soc. Japan 20 (1968), 423-436.
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.