In this paper, we establish a new version of Siegel's fixed point theorem in generating spaces of quasi-metric family. As consequences, we obtain general versions of the Downing-Kirk's fixed point and Caristi's fixed point theorem in the same spaces. Some applications of these results to fuzzy metric spaces and probabilistic metric spaces are presented.
@article{urn:eudml:doc:39183,
title = {On the generalizations of Siegel's fixed point theorem.},
journal = {Mathware and Soft Computing},
volume = {8},
year = {2001},
pages = {5-20},
zbl = {1021.47031},
mrnumber = {MR1843686},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:39183}
}
Jung, J. S.; Chang, S. S.; Lee, B. S.; Cho, Y. J.; Kang, S. M. On the generalizations of Siegel's fixed point theorem.. Mathware and Soft Computing, Tome 8 (2001) pp. 5-20. http://gdmltest.u-ga.fr/item/urn:eudml:doc:39183/