On I-convergence of double sequences in the topology induced by random 2-norms
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On probabilistic normed spaces under .
Ying, Mingsheng (1990)
International Journal of Mathematics and Mathematical Sciences
On the existence and uniqueness problems of solutions for set-valued and single-valued nonlinear operator equations in probabilistic normed spaces.
Chang, Shih-Sen, Cho, Yeol Je, Wang, Fan (1994)
International Journal of Mathematics and Mathematical Sciences
On the generalizations of Siegel's fixed point theorem.
J. S. Jung, S. S. Chang, B. S. Lee, Y. J. Cho, S. 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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