Jebril, Iqbal Hamzh; Noorani, Mohd. Salmi Md. Contraction functions in probabilistic normed space. (English) Zbl 1101.47062 J. Inst. Math. Comput. Sci., Math. Ser. 18, No. 1, 21-26 (2005). 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. Reviewer: S. L. Singh (Rishikesh) 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 Keywords:probabilistic normed space; bounded linear maps; contraction functions Citations:Zbl 0945.46056 PDFBibTeX XMLCite \textit{I. H. Jebril} and \textit{Mohd. S. Md. Noorani}, J. Inst. Math. Comput. Sci., Math. Ser. 18, No. 1, 21--26 (2005; Zbl 1101.47062)