Contractive mappings are Kannan mappings, and Kannan mappings are contractive mappings in some sense
Commentationes Mathematicae (2005)
- Volume: 45, Issue: 1
- ISSN: 2080-1211
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topTomonari Suzuki. "Contractive mappings are Kannan mappings, and Kannan mappings are contractive mappings in some sense." Commentationes Mathematicae 45.1 (2005): null. <http://eudml.org/doc/291765>.
@article{TomonariSuzuki2005,
abstract = {In this paper, we prove that a mapping $T$ on a metric space is contractive with respect to a $\tau $-distance if and only if it is Kannan with respect to a $\tau $-distance.},
author = {Tomonari Suzuki},
journal = {Commentationes Mathematicae},
keywords = {Contractive mapping; Kannan mapping; $\tau $-distance; fixed point},
language = {eng},
number = {1},
pages = {null},
title = {Contractive mappings are Kannan mappings, and Kannan mappings are contractive mappings in some sense},
url = {http://eudml.org/doc/291765},
volume = {45},
year = {2005},
}
TY - JOUR
AU - Tomonari Suzuki
TI - Contractive mappings are Kannan mappings, and Kannan mappings are contractive mappings in some sense
JO - Commentationes Mathematicae
PY - 2005
VL - 45
IS - 1
SP - null
AB - In this paper, we prove that a mapping $T$ on a metric space is contractive with respect to a $\tau $-distance if and only if it is Kannan with respect to a $\tau $-distance.
LA - eng
KW - Contractive mapping; Kannan mapping; $\tau $-distance; fixed point
UR - http://eudml.org/doc/291765
ER -
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