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A Few Notes on Formal Balls [PDF]

open access: yesLogical Methods in Computer Science, 2017
Using the notion of formal ball, we present a few new results in the theory of quasi-metric spaces. With no specific order: every continuous Yoneda-complete quasi-metric space is sober and convergence Choquet-complete hence Baire in its $d$-Scott ...
Jean Goubault-Larrecq, Kok Min Ng
doaj   +3 more sources

A new Generalization of Wardowski Fixed Point Theorem in Complete Metric Spaces

open access: diamond, 2017
The aim of this paper is to state and prove Wardowski type fixed point theorem in metric spaces. The paper includes an example which shows that our result is a proper extension of some known results.
Andreea Fulga, Alexandrina Maria Proca
openalex   +3 more sources

Fixed point theorems for various types of F-contractions in complete b-metric spaces [PDF]

open access: diamond, 2018
We generalize various types of F -contractions defined by Wardowski, Vetro and others to b-metric spaces and prove fixed point theorems for them. The examples given show that these generalizations extend the existing results in a significant way.
Andor Lukács, Sándor Kajántó
openalex   +2 more sources

Coupled fractals in complete metric spaces

open access: diamondNonlinear Analysis, 2018
The aim of this paper is to present fixed set theorems, collage type and anticollage type results for single-valued operators T : X × X → X in the framework of a complete metric space X.
Adrian Petru¸sel, Anna Soós
doaj   +3 more sources

Common Fixed Point Theorems for T-Hardy-Rodgers Contraction Mappings in Complete Cone b-Metric Spaces with an Application

open access: yesTopological Algebra and its Applications, 2021
This paper presents some fixed point theorems for T-Hardy-Rodgers contraction mappings in complete cone b-metric spaces without the assumption of normality conditions.
Shashi Pauline, Kumar Santosh
doaj   +1 more source

Some New Results on F-Contractions in 0-Complete Partial Metric Spaces and 0-Complete Metric-Like Spaces

open access: yesFractal and Fractional, 2021
Within this manuscript we generalize the two recently obtained results of O. Popescu and G. Stan, regarding the F-contractions in complete, ordinary metric space to 0-complete partial metric space and 0-complete metric-like space.
Stojan Radenović   +2 more
doaj   +1 more source

Fixed point theorem for orthogonal contraction of Hardy-Rogers-type mapping on $O$-complete metric spaces

open access: yesAIMS Mathematics, 2020
In this paper, we introduce the notion of an orthogonal (F, ψ)-contraction of Hardy-Rogers-type mapping and prove some fixed point theorem for such contraction mappings in orthogonally metric spaces.
Qing Yang, C. Bai
semanticscholar   +1 more source

w-Distances on Fuzzy Metric Spaces and Fixed Points

open access: yesMathematics, 2020
We propose a notion of w-distance for fuzzy metric spaces, in the sense of Kramosil and Michalek, which allows us to obtain a characterization of complete fuzzy metric spaces via a suitable fixed point theorem that is proved here.
Salvador Romaguera
doaj   +1 more source

Some Properties of Lebesgue Fuzzy Metric Spaces [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2021
In this paper, we establish a sequential characterisation of Lebesgue fuzzy metric and explore the relationship between Lebesgue, weak $G$-complete and compact fuzzy metric spaces.
Sugata Adhya, Atasi Deb Ray
doaj   +1 more source

Fixed Point Theorems on Complete Quasi Metric Spaces Via C-class and A-Class Functions [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2020
In this paper, we present some fixed point theorems for single valued mappings on $K$-complete, $M$-complete and Symth complete quasi metric spaces. Here, for contractive condition, we consider some altering distance functions together with functions ...
Mensur Yalcin, Hakan Simsek, Ishak Altun
doaj   +1 more source

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