# 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

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topJung, 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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