Articles with "fuzzy metric" as a keyword



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Multi Fuzzy Fractal Theorems in Fuzzy Metric Spaces

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Published in 2017 at "Fuzzy Information and Engineering"

DOI: 10.1016/j.fiae.2017.06.006

Abstract: Abstract The Hutchinson-Barnsley (HB) operators are studied for multi iterated function system in a general setting. Some existence and uniqueness results are obtained in fuzzy fractal and multi fuzzy fractal spaces. From them, we obtain… read more here.

Keywords: fractal theorems; fuzzy metric; fuzzy fractal; metric spaces ... See more keywords
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Weakly compatible fixed point theorem in intuitionistic fuzzy metric spaces

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Published in 2023 at "AIP Advances"

DOI: 10.1063/5.0147488

Abstract: This study presents fundamental theorems, lemmas, and mapping definitions. There are three types of mappings: binary operators, compatible mappings, and sequentially continuous mappings. The symbols used to represent fuzzy metric spaces are intuitive. Icons were… read more here.

Keywords: intuitionistic fuzzy; metric spaces; fixed point; fuzzy metric ... See more keywords
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Existence and Uniqueness of a Common Best Proximity Point on Fuzzy Metric Space

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Published in 2019 at "Fuzzy Information and Engineering"

DOI: 10.1080/16168658.2020.1746484

Abstract: In this paper, first we introduce the notion of proximally weakly compatible mappings and we extend the CLRg property (CLRg-Common limit in the range of g) to the case of non-self mappings. Then we prove… read more here.

Keywords: fuzzy metric; metric space; point; common best ... See more keywords
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Fixed Point Theorems for Generalized Kannan-Type Mappings in a New Type of Fuzzy Metric Space

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Published in 2020 at "Journal of Mathematics"

DOI: 10.1155/2020/1712486

Abstract: In this paper, first, we introduce a new type of fuzzy metric space which is a generalization of fuzzy metric spaces. Second, we study the topological properties of fuzzy metric spaces. Finally, we extend Kannan-type… read more here.

Keywords: fuzzy metric; type mappings; kannan type; type ... See more keywords
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Caristi type fixed point theorems in fuzzy metric spaces

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Published in 2017 at "Hacettepe Journal of Mathematics and Statistics"

DOI: 10.15672/hjms.2017.515

Abstract: In this paper, we extend the generalized Caristi's fixed point theorem proved by Bollenbacher and Hicks to $p$-orbitally complete fuzzy metric spaces by considering the fuzzy metric spaces in the sense of George and Veeramani.… read more here.

Keywords: fuzzy metric; type fixed; metric spaces; caristi type ... See more keywords
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On topological properties of the Hausdorff fuzzy metric spaces

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Published in 2017 at "Filomat"

DOI: 10.2298/fil1705167l

Abstract: In the paper, necessary and sufficient conditions for two Hausdorff fuzzy metric spaces to be homeomorphic are studied. Also, several properties of the Hausdorff fuzzy metric spaces, as Fboundedness, separableness and connectedness, are explored. read more here.

Keywords: fuzzy metric; metric spaces; topological properties; properties hausdorff ... See more keywords
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Geraghty type contractions in fuzzy b-metric spaces with application to integral equations

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Published in 2020 at "Filomat"

DOI: 10.2298/fil2009083a

Abstract: In this paper, we study the notion of a fuzzy b-metric space and establish certain fixed point results for Geraghty-type contraction in the setting of G-complete fuzzy b-metric space. We furnish an example to illustrate… read more here.

Keywords: application; fuzzy metric; integral equations; contractions fuzzy ... See more keywords
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On Banach contraction principles in fuzzy metric spaces

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Published in 2018 at "Fixed Point Theory"

DOI: 10.24193/fpt-ro.2018.1.19

Abstract: Valent´in Gregori acknowledges the support of Ministry of Economy and Competitiveness of Spain under grant MTM MTM2015-64373-P. Almanzor Sapena acknowledges the support of Ministry of Economy and Competitiveness of Spain under grant TEC2013-45492-R. read more here.

Keywords: contraction principles; fuzzy metric; banach contraction; metric spaces ... See more keywords
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New Relation-Theoretic Fixed Point Theorems in Fuzzy Metric Spaces with an Application to Fractional Differential Equations

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Published in 2022 at "Axioms"

DOI: 10.3390/axioms11030117

Abstract: In this paper, we introduce the notion of fuzzy R−ψ−contractive mappings and prove some relevant results on the existence and uniqueness of fixed points for this type of mappings in the setting of non-Archimedean fuzzy… read more here.

Keywords: relation theoretic; fuzzy metric; fractional differential; differential equations ... See more keywords
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Intuitionistic Fuzzy Metric-like Spaces and Fixed-Point Results

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Published in 2023 at "Mathematics"

DOI: 10.3390/math11081902

Abstract: The objective of this paper is to describe the concept of intuitionistic fuzzy metric-like spaces. This space is an extension of metric-like spaces and fuzzy metric spaces, and intuitionistic fuzzy metric spaces. We discuss convergence… read more here.

Keywords: intuitionistic fuzzy; like spaces; fixed point; metric like ... See more keywords
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Symmetrical Hybrid Coupled Fuzzy Fixed-Point Results on Closed Ball in Fuzzy Metric Space with Applications

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Published in 2022 at "Symmetry"

DOI: 10.3390/sym15010030

Abstract: In this research, we establish some new fixed-point results for a symmetric coupled dominated fuzzy mapping satisfying a new advanced contraction on a closed ball in the setting of complete fuzzy metric spaces. In addition,… read more here.

Keywords: closed ball; fixed point; fuzzy metric; point results ... See more keywords