Fixed point and continuation results for contractions in metric and gauge spaces
Banach Center Publications (2007)
- Volume: 77, Issue: 1, page 89-114
- ISSN: 0137-6934
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topM. Frigon. "Fixed point and continuation results for contractions in metric and gauge spaces." Banach Center Publications 77.1 (2007): 89-114. <http://eudml.org/doc/281831>.
@article{M2007,
abstract = {We present an overview of generalizations of Banach's fixed point theorem and continuation results for contractions, i.e., results establishing that the existence of a fixed point is preserved by suitable homotopies. We will consider single-valued and multi-valued contractions in metric and in gauge spaces.},
author = {M. Frigon},
journal = {Banach Center Publications},
keywords = {single-valued operator; multi-valued operator; contraction; continuation theorem; fixed point; gauge space},
language = {eng},
number = {1},
pages = {89-114},
title = {Fixed point and continuation results for contractions in metric and gauge spaces},
url = {http://eudml.org/doc/281831},
volume = {77},
year = {2007},
}
TY - JOUR
AU - M. Frigon
TI - Fixed point and continuation results for contractions in metric and gauge spaces
JO - Banach Center Publications
PY - 2007
VL - 77
IS - 1
SP - 89
EP - 114
AB - We present an overview of generalizations of Banach's fixed point theorem and continuation results for contractions, i.e., results establishing that the existence of a fixed point is preserved by suitable homotopies. We will consider single-valued and multi-valued contractions in metric and in gauge spaces.
LA - eng
KW - single-valued operator; multi-valued operator; contraction; continuation theorem; fixed point; gauge space
UR - http://eudml.org/doc/281831
ER -
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