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On the generalizations of Siegel's fixed point theorem.

J. S. JungS. S. ChangB. S. LeeY. J. ChoS. M. Kang — 2001

Mathware and Soft Computing

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.

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