# Fixed point free maps of a closed ball with small measures of noncompactness.

Collectanea Mathematica (2001)

- Volume: 52, Issue: 2, page 101-116
- ISSN: 0010-0757

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topVäth, Martin. "Fixed point free maps of a closed ball with small measures of noncompactness.." Collectanea Mathematica 52.2 (2001): 101-116. <http://eudml.org/doc/42727>.

@article{Väth2001,

abstract = {We show that in all infinite-dimensional normed spaces it is possible to construct a fixed point free continuous map of the unit ball whose measure of noncompactness is bounded by 2. Moreover, for a large class of spaces (containing separable spaces, Hilbert spaces and l-infinity (S)) even the best possible bound 1 is attained for certain measures of noncompactness.},

author = {Väth, Martin},

journal = {Collectanea Mathematica},

keywords = {Compacidad; Punto fijo; Espacios normados; measure of noncompactness; fixed point; condensing operator},

language = {eng},

number = {2},

pages = {101-116},

title = {Fixed point free maps of a closed ball with small measures of noncompactness.},

url = {http://eudml.org/doc/42727},

volume = {52},

year = {2001},

}

TY - JOUR

AU - Väth, Martin

TI - Fixed point free maps of a closed ball with small measures of noncompactness.

JO - Collectanea Mathematica

PY - 2001

VL - 52

IS - 2

SP - 101

EP - 116

AB - We show that in all infinite-dimensional normed spaces it is possible to construct a fixed point free continuous map of the unit ball whose measure of noncompactness is bounded by 2. Moreover, for a large class of spaces (containing separable spaces, Hilbert spaces and l-infinity (S)) even the best possible bound 1 is attained for certain measures of noncompactness.

LA - eng

KW - Compacidad; Punto fijo; Espacios normados; measure of noncompactness; fixed point; condensing operator

UR - http://eudml.org/doc/42727

ER -

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