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Fuzzy Sets and Systems
Article . 2007 . Peer-reviewed
License: Elsevier TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 2007
Data sources: zbMATH Open
DBLP
Article . 2020
Data sources: DBLP
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Coincidence point theorems in probabilistic and fuzzy metric spaces

Authors: Yicheng Liu; Zhixiang Li;

Coincidence point theorems in probabilistic and fuzzy metric spaces

Abstract

The authors present some extensions of coincidence point theorems onto different classes of probabilistic metric spaces. More precisely they consider a hybrid pair of single- and multi-valued mappings in Menger and generalized Menger spaces, fuzzy metric spaces and Hicks spaces and they prove coincidence point theorems for such mappings under some generalized contractive conditions. The problem with the paper is that although the authors refer to the book [\textit{B. Schweizer} and \textit{A. Sklar}, Probabilistic metric spaces, North Holland Series in Probability Applied Mathematics, North-Holland (1983; Zbl 0546.60010)] they have not read it carefully enough. This is why they consider different classes of probabilistic metric spaces in the sense defined in [loc. cit.] instead of formulating more general results for such spaces or Serstnev spaces. They also seem to ignore some results of Istratescu and recent results of O. Hadzić.

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Keywords

coincidence point theorem, Fuzzy topology, probabilistic metric space, Fixed-point and coincidence theorems (topological aspects), multi-valued mapping, Probabilistic metric spaces, fuzzy metric space, Theory of fuzzy sets, etc., Set-valued maps in general topology

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
33
Top 10%
Top 10%
Top 10%
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