On the generalizations of Siegel's fixed point theorem

• Autores: J. S. Jung, S. S. Chang, B. S. Lee, Y. J. Cho, S. M. Kang
• Localización: Mathware & soft computing: The Magazine of the European Society for Fuzzy Logic and Technology, ISSN-e 1134-5632, Vol. 8, Nº. 1, 2001, págs. 5-20
• Idioma: inglés
• Títulos paralelos:
  • Generalizaciones del teorema del punto fijo de Siegel
• Enlaces
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• Resumen

  • 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.