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https://open.uns.ac.rs/handle/123456789/15254
Title: | Generalized contraction mapping principles in probabilistic metric spaces | Authors: | Hadžić, Olga Pap, E. Radu, V. |
Issue Date: | 1-Jan-2003 | Journal: | Acta Mathematica Hungarica | Abstract: | We give an improvement of Theorem 1 from [2] with a quite different approach, which enable us to prove that the fixed point is also globally attractive. In Theorem 2.11 a further generalization is obtained for a complete Menger space (S, script F sign, T), where T belongs to a more general class of continuous t-norms than in the previous case where T = TM (= min). Theorem 3.2 is a generalization of Theorem 2 from [2]. Thereafter the notion of a generalized C-contraction of Krasnoselski's type is introduced and a fixed point theorem for such mappings is proved. An application in the space S(Ω, script K sign, P) is given. | URI: | https://open.uns.ac.rs/handle/123456789/15254 | ISSN: | 02365294 | DOI: | 10.1023/B:AMHU.0000003897.39440.d8 |
Appears in Collections: | PMF Publikacije/Publications |
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