Generalized contraction mapping principles in probabilistic metric spaces View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2003-10

AUTHORS

O. Hadžić, E. Pap, V. Radu

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,F,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, K, P) is given. More... »

PAGES

131-148

References to SciGraph publications

  • 1960-08. Leray-Schauder theory without local convexity in MATHEMATISCHE ANNALEN
  • 1972-03. Fixed points of contraction mappings on probabilistic metric spaces in MATHEMATICAL SYSTEMS THEORY
  • Journal

    TITLE

    Acta Mathematica Hungarica

    ISSUE

    1-2

    VOLUME

    101

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1023/b:amhu.0000003897.39440.d8

    DOI

    http://dx.doi.org/10.1023/b:amhu.0000003897.39440.d8

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1026819302


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