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Fuzzy Sets and SystemsVolume 151, Issue 3, 1 May 2005, Pages 549-562

A multivalued generalization of Hick's C-contraction(Article)(Open Access)

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  • Faculty of Technology, University of Novi Sad, Bulevar Cara Lazara 1, 21000 Novi Sad, Serbia

Abstract

A coincidence point theorem for multivalued mappings in probabilistic metric spaces is proved. The notion of a C-contraction is introduced and a fixed point theorem in probabilistic metric spaces is proved. A generalization of the notion of a C-contraction for multivalued mappings is given. Some random coincidence point theorem is obtained using Castaing's characteristic theorem.

Author keywords

Coincidence pointMenger space

Indexed keywords

Engineering controlled terms:Convergence of numerical methodsFunctionsMappingMathematical operatorsProbabilitySet theory
Engineering uncontrolled termsCoincidence pointDistribution functionsMenger spaceMultivalued generalization
Engineering main heading:Theorem proving
  • ISSN: 01650114
  • CODEN: FSSYD
  • Source Type: Journal
  • Original language: English
  • DOI: 10.1016/j.fss.2004.08.011
  • Document Type: Article
  • Publisher: Elsevier

  Zikic-Dosenovic, T.; Faculty of Technology, University of Novi Sad, Bulevar Cara Lazara 1, Serbia;
© Copyright 2019 Elsevier B.V., All rights reserved.

Cited by 12 documents

Sadeghi, Z. , Vaezpour, S.M.
Fixed point theorems for multivalued and single-valued contractive mappings on Menger PM spaces with applications
(2018) Journal of Fixed Point Theory and Applications
Choudhury, B.S. , Bhandari, S.K.
P-Cyclic C-contraction result in menger spaces using a control function
(2016) Demonstratio Mathematica
Sadeghi, Z. , Vaezpour, S.M.
Coincidence point theorem in ordered fuzzy metric spaces and its application in integral inclusions
(2015) Iranian Journal of Fuzzy Systems
View details of all 12 citations
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