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Fixed Point Theory and ApplicationsVolume 2011, October 2011, Article number 74

A fixed point theorem for a special class of probabilistic contraction(Article)(Open Access)

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  • Faculty of Technology, University of Novi Sad, Bulevar cara Lazara 1, Novi Sad, Serbia

Abstract

In this paper, a special class of probabilistic contraction will be considered. Using the theory of countable extension of t-norms, we proved a fixed point theorem for such a class of mappings f : S → S, where (S, F , T) is a Menger space. Mathematics Subject Classification (2000) 54H25, 47H10 © 2011 Došenovićć et al; licensee Springer.

Author keywords

Fixed pointMenger spaceProbabilistic q-contractionq-contraction (ε, λ)-typet-norm

Funding details

Funding sponsor Funding number Acronym
Ministarstvo Prosvete, Nauke i Tehnološkog Razvoja174009,44006,III 44006MPNTR

  • 1

    This research was supported by MNTRRS-174009 and Serbian Ministry of Education and Science project III 44006.

  • ISSN: 16871820
  • Source Type: Journal
  • Original language: English
  • DOI: 10.1186/1687-1812-2011-74
  • Document Type: Article
  • Publisher: Hindawi Publishing Corporation

  Došenović, T.; Faculty of Technology, University of Novi Sad, Bulevar cara Lazara 1, Serbia;
© Copyright 2014 Elsevier B.V., All rights reserved.

Cited by 2 documents

Došenović, T. , Rakić, D. , Carić, B.
Multivalued generalizations of fixed point results in fuzzy metric spaces
(2016) Nonlinear Analysis: Modelling and Control
Došenović, T. , Rakić, D. , Brdar, M.
Fixed point theorem in fuzzy metric spaces using altering distance
(2014) Filomat
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