Zobrazeno 1 - 10
of 50
pro vyhledávání: '"Enrique Llorens-Fuster"'
Publikováno v:
Mathematical Modelling and Analysis, Vol 21, Iss 1 (2016)
In this paper, we introduce a Halpern’s type method to approximate common fixed points of a nonexpansive mapping T and a strongly quasi-nonexpansive mappings S, defined in a Hilbert space, such that I − S is demiclosed at 0. The result shows as t
Externí odkaz:
https://doaj.org/article/20fde99a849c4722af91ccfc09592d1c
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2003, Iss 65, Pp 4115-4129 (2003)
We give an example of a renorming of ℓ2 with the fixed-point property (FPP) for nonexpansive mappings, but which seems to fall out of the scope of all the commonly known sufficient conditions for FPP.
Externí odkaz:
https://doaj.org/article/32a4d0921c694905a358846ef00508f2
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2011 (2011)
Externí odkaz:
https://doaj.org/article/36be0c57d84a4dfcb68aead6cf856f47
Autor:
Enrique Llorens-Fuster, Jesús Ferrer
Publikováno v:
The American Mathematical Monthly. 127:354-358
It is known that some particular self-mappings of the closed unit ball Bl2 of l2 with no fixed points cannot be nonexpansive with respect to any renorming of l2. We give here a short proof of this ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ca36932cdd0a3c42166761c04c111a7c
https://doi.org/10.1080/00029890.2020.1704168
https://doi.org/10.1080/00029890.2020.1704168
Autor:
Jesús Ferrer, Enrique Llorens-Fuster
Publikováno v:
Banach Journal of Mathematical Analysis. 14:78-97
We give conditions under which a self-mapping on a bounded closed convex subset, containing zero, of a reflexive Banach space is never nonexpansive, i.e., there is no renorming with respect to which the mapping is nonexpansive. This provides with a u
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9ff0e8d4105e7434e822fdefb3c29e7b
https://doi.org/10.1007/s43037-019-00021-5
https://doi.org/10.1007/s43037-019-00021-5
Autor:
Enrique Llorens-Fuster, Jesús Ferrer
Publikováno v:
Journal of Mathematical Analysis and Applications. 465:297-308
We find lower bounds for the set of Lipschitz constants of a given Lipschitzian map, defined on the closed unit ball of a Hilbert space, with respect to any renorming. We introduce a class of maps, defined in the closed unit ball of l 2 , which conta
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e94a19cca3e1677c84091490c92712f0
https://doi.org/10.1016/j.jmaa.2018.05.001
https://doi.org/10.1016/j.jmaa.2018.05.001
Autor:
Jesús Ferrer, Enrique Llorens-Fuster
Publikováno v:
Fixed Point Theory. 19:557-570
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::87668d91805f8965cce4be0ebe2fc4f6
https://doi.org/10.24193/fpt-ro.2018.2.44
https://doi.org/10.24193/fpt-ro.2018.2.44
Publikováno v:
Journal of Mathematical Analysis and Applications. 434:1789-1800
In this paper we prove some norm inequalities in the classical James sequence space J , and use them to prove that orthogonal convexity is a stable property in J .
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b1abbe6d65efafe2bdd647d9f7e2e94c
https://doi.org/10.1016/j.jmaa.2015.10.012
https://doi.org/10.1016/j.jmaa.2015.10.012
Publikováno v:
Journal of Fixed Point Theory and Applications. 20
In this paper, we present a further study of iterated nonexpansive mappings, that is, mappings which are nonexpansive along the orbits. This is a wide class of nonlinear mappings including many generalized nonexpansive mappings, such as Suzuki (C)-ty
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::504eb6f17cdad79eff27a80cea0dd99b
https://doi.org/10.1007/s11784-018-0579-5
https://doi.org/10.1007/s11784-018-0579-5
Autor:
Enrique Llorens-Fuster
Publikováno v:
Bulletin of the Australian Mathematical Society. 93:497-503
We define a class of nonlinear mappings which is properly larger than the class of nonexpansive mappings. We also give a fixed point theorem for this new class of mappings.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f33f3bf5156f29bfd92e018206baf5ff
https://doi.org/10.1017/s0004972715001318
https://doi.org/10.1017/s0004972715001318