Chang, Shih-Sen; Cho, Yeol Je; Wang, Fan On the existence and uniqueness problems of solutions for set-valued and single-valued nonlinear operator equations in probabilistic normed spaces. (English) Zbl 0801.47043 Int. J. Math. Math. Sci. 17, No. 2, 389-396 (1994). Following Altman’s theory of contractors on normed spaces [M. Altman, Contractors and contractor directions. Theory and applications. A new approach to solving equations. Lecture Notes in Pure and Applied Mathematics, Vol. 32 (1977; Zbl 0363.65045)] the authors study contractors and fixed points on Menger probabilistic normed spaces. Reviewer: S.L.Singh (Rishikesh) Cited in 3 Documents MSC: 47H10 Fixed-point theorems 47S50 Operator theory in probabilistic metric linear spaces 47H04 Set-valued operators 54H25 Fixed-point and coincidence theorems (topological aspects) 54C60 Set-valued maps in general topology 54E70 Probabilistic metric spaces Keywords:\(PM\)-space; probabilistic contractor; set-valued map; contractors; fixed points; Menger probabilistic normed spaces Citations:Zbl 0363.65045 PDFBibTeX XMLCite \textit{S.-S. Chang} et al., Int. J. Math. Math. Sci. 17, No. 2, 389--396 (1994; Zbl 0801.47043) Full Text: DOI EuDML