Discussion on "A fixed point theorem of Banach--Caccioppoli type on a class of generalized metric spaces" by A. Branciari
By Bessem Samet. Publicationes mathematicae (Debrecen), 2010
144 citations recorded by the source corpus.
The aim of this discussion is to expose incorrect property of the generalized metric space introduced by A. Branciari in previous Publ. Math. Debrecen article.
Subfields: Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/566f0b02ac763ea79f8300199634c15012a1d8ab
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In Geometry and Topology
- Stojan Radenovic
- Zoran Kadelburg
- Nawab Hussain
- E. Karapınar
- Vahid Parvaneh
- V. L. Rosa
- Jamal Rezaei Roshan
- Pasquale Vetro
Citations in the corpus
- Common fixed points for α-ψ-φ-contractions in generalized metric spaces (2014, background): “We note that (iii) of Definition 1 does not ensure that d is continuous in each variable, see [10].”
- New fixed point results in b-rectangular metric spaces (2016, background): “In particular, its topology may not be Hausdorff, as an example given in [26, 27] shows (see further Example 2).”
- Discussion on Contractions on Generalized Metric Spaces (2014, background): “Samet [2] gives an example for a generalizedmetric which is not continuous.”
- Some Common Fixed Point Results in Rectangular Metric Spaces (2013, unknown): “, [5–14]).”
- Fixed point results in generalized metric spaces without Hausdorff property (2014, background): “1] (see also [26]), shows several possible properties of generalized metrics, different than in the standard metric case.”