Pełnotekstowe zasoby PLDML oraz innych baz dziedzinowych są już dostępne w nowej Bibliotece Nauki.
Zapraszamy na https://bibliotekanauki.pl
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 5

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last

Wyniki wyszukiwania

help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
Content available remote

The super fixed point property for asymptotically nonexpansive mappings

100%
Wiśnicki A.
Fundamenta Mathematicae
|
2012
|
tom 217
|
nr 3
265-277
EN
We show that the super fixed point property for nonexpansive mappings and for asymptotically nonexpansive mappings in the intermediate sense are equivalent. As a consequence, we obtain fixed point theorems for asymptotically nonexpansive mappings in uniformly nonsquare and uniformly noncreasy Banach spaces. The results are generalized to commuting families of asymptotically nonexpansive mappings.
2
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
Content available

On a nonstandard approach to invariant measures for Markov operators

100%
Wiśnicki A.
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
|
2010
|
tom 64
|
nr 2
EN
We show the existence of invariant measures for Markov-Feller operators defined on completely regular topological spaces which satisfy the classical positivity condition.
3
Content available remote

On the fixed points of nonexpansive mappings in direct sums of Banach spaces

100%
Wiśnicki A.
Studia Mathematica
|
2011
|
tom 207
|
nr 1
75-84
EN
We show that if a Banach space X has the weak fixed point property for nonexpansive mappings and Y has the generalized Gossez-Lami Dozo property or is uniformly convex in every direction, then the direct sum X ⊕ Y with a strictly monotone norm has the weak fixed point property. The result is new even if Y is finite-dimensional.
4
Content available remote

A common fixed point theorem for a commuting family of weak* continuous nonexpansive mappings

64%
Borzdyński S., Wiśnicki A.
Studia Mathematica
|
2014
|
tom 225
|
nr 2
173-181
EN
It is shown that if 𝓢 is a commuting family of weak* continuous nonexpansive mappings acting on a weak* compact convex subset C of the dual Banach space E, then the set of common fixed points of 𝓢 is a nonempty nonexpansive retract of C. This partially solves an open problem in metric fixed point theory in the case of commutative semigroups.
5
Content available remote

On the fixed point property in direct sums of Banach spaces with strictly monotone norms

64%
Prus S., Wiśnicki A.
Studia Mathematica
|
2008
|
tom 186
|
nr 1
87-99
EN
It is shown that if a Banach space X has the weak Banach-Saks property and the weak fixed point property for nonexpansive mappings and Y has the asymptotic (P) property (which is weaker than the condition WCS(Y) > 1), then X ⊕ Y endowed with a strictly monotone norm enjoys the weak fixed point property. The same conclusion is valid if X admits a 1-unconditional basis.
first rewind previous Strona / 1 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.