×

Contraction functions in probabilistic normed space. (English) Zbl 1101.47062

The authors discuss a new notion of bounded linear maps in probabilistic normed spaces and show that several contraction type functions found in the literature [see, for instance, B. Lafuerza Guillén, J. A.Rodríguez Lallena and C. Sempi, J.Math.Anal.Appl.232, No. 11, 183–196 (1999; Zbl 0945.46056)] are also bounded with respect to their new definition.

MSC:

47S50 Operator theory in probabilistic metric linear spaces
47H10 Fixed-point theorems
46S50 Functional analysis in probabilistic metric linear spaces
54E70 Probabilistic metric spaces
54E25 Semimetric spaces

Citations:

Zbl 0945.46056
PDFBibTeX XMLCite