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AIMS MathematicsVolume 8, Issue 1, 2023, Pages 2154-2167

Ćirić type nonunique fixed point theorems in the frame of fuzzy metric spaces(Article)(Open Access)

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  • aFaculty of Technology Novi Sad, University of Novi Sad, Bulevar cara Lazara 1, Serbia
  • bFaculty of Mechanical Engineering, University of Belgrade, Serbia
  • cFaculty of Technical Sciences, University of Novi Sad, University, Trg Dositeja Obradovića 6, Novi Sad, Serbia

Abstract

The paper defines a new contractive condition within κ−orbitally complete fuzzy metric spaces (Θ, M, T ), as well as fixed point theorems for single-valued and multi-valued function on Θ which is not necessarily continuous. The contractive condition is motivated by an idea proposed in Ćirić’s paper “On some maps with a nonunique fixed points”. Continuity of mapping κ is replaced by κ−orbitally continuity property which provides the existence of the fixed point, but not necessarily uniqueness. © 2023 the Author(s),.

Author keywords

Cauchy sequencefixed pointfuzzy metric spacet-normĆiric type contraction

Funding details

Funding sponsor Funding number Acronym
Ministarstvo Prosvete, Nauke i Tehnološkog Razvoja451-03-68/2022-14/200134MPNTR

  • 1

    The first and second authors are supported by the Ministry of Education, Science and Technological Development of the Republic of Serbia (Project No. 451-03-68/2022-14/200134).

  • ISSN: 24736988
  • Source Type: Journal
  • Original language: English
  • DOI: 10.3934/math.2023111
  • Document Type: Article
  • Publisher: American Institute of Mathematical Sciences

  Carić, B.; Faculty of Technical Sciences, University of Novi Sad, University, Trg Dositeja Obradovića 6, Novi Sad, Serbia;
© Copyright 2022 Elsevier B.V., All rights reserved.

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