On the generalizations of Siegel's fixed point theorem.

J. S. Jung; S. S. Chang; B. S. Lee; Y. J. Cho; S. M. Kang

Mathware and Soft Computing (2001)

  • Volume: 8, Issue: 1, page 5-20
  • ISSN: 1134-5632

Abstract

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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.

How to cite

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Jung, J. S., et al. "On the generalizations of Siegel's fixed point theorem.." Mathware and Soft Computing 8.1 (2001): 5-20. <http://eudml.org/doc/39183>.

@article{Jung2001,
abstract = {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.},
author = {Jung, J. S., Chang, S. S., Lee, B. S., Cho, Y. J., Kang, S. M.},
journal = {Mathware and Soft Computing},
keywords = {Teorema de punto fijo; Espacios métricos; Conjuntos difusos; Operadores; complete generating space of quasi-metric family; Downing-Kirk's fixed point theorem; Caristi's theorem; fuzzy metric spaces; probabilistic metric spaces},
language = {eng},
number = {1},
pages = {5-20},
title = {On the generalizations of Siegel's fixed point theorem.},
url = {http://eudml.org/doc/39183},
volume = {8},
year = {2001},
}

TY - JOUR
AU - Jung, J. S.
AU - Chang, S. S.
AU - Lee, B. S.
AU - Cho, Y. J.
AU - Kang, S. M.
TI - On the generalizations of Siegel's fixed point theorem.
JO - Mathware and Soft Computing
PY - 2001
VL - 8
IS - 1
SP - 5
EP - 20
AB - 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.
LA - eng
KW - Teorema de punto fijo; Espacios métricos; Conjuntos difusos; Operadores; complete generating space of quasi-metric family; Downing-Kirk's fixed point theorem; Caristi's theorem; fuzzy metric spaces; probabilistic metric spaces
UR - http://eudml.org/doc/39183
ER -

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