Revistes Catalanes amb Accés Obert (RACO)

On the generalizations of Siegel's fixed point theorem

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


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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