×

Fixed point theorems on probabilistic ultra-metric spaces. (English) Zbl 1125.54026

Following essentially the initial study of the Banach contraction theorem in probabilistic metric spaces [V. M. Sehgal and A. T. Bharucha-Reid, Math. Syst. Theory 6, 97–102 (1972; Zbl 0244.60004)], the authors discuss ultrametrics in probabilistic analysis and obtain a fixed point theorem for strictly contracting maps.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
54E70 Probabilistic metric spaces
47H10 Fixed-point theorems
47S50 Operator theory in probabilistic metric linear spaces

Citations:

Zbl 0244.60004
PDFBibTeX XMLCite