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Journal articles on the topic 'Symmetric fuzzy-metric space'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Gupta, Vishal, Manu Verma, and Mohammad Saeed Khan. "Some Modified Fixed Point Results in V-Fuzzy Metric Spaces." Advances in Fuzzy Systems 2019 (March 27, 2019): 1–10. http://dx.doi.org/10.1155/2019/6923937.

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The present research paper focuses on the existence of fixed point in V-fuzzy metric space. The presentation of V-fuzzy metric space in n-tuple encourages us to define different mapping in the symmetric V-fuzzy metric space. Here, the properties of fuzzy metric space are extended to V-fuzzy metric space. The introduction of notion for pair of mappings (f,g) on V-fuzzy metric space called V-weakly commuting of type Vf and V-R weakly commuting of type Vf is given. This proved fixed point theorem in V-fuzzy metric space employing the effectiveness of E.A. property and CLRg property. For the justi

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2

Mathuraiveeran, Jeyaraman, R. Pandiselvi Selvi, and D. Poovaragavan. "Common Fixed Point Theorems In Anti Fuzzy Metric Spaces." Journal of Mathematical Analysis and Modeling 4, no. 1 (2023): 106–14. http://dx.doi.org/10.48185/jmam.v4i1.664.

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This article introduces the innovative concept of anti-fuzzy metric spaces and utilizes the property (E.A.) and Common limit range property of $\mathfrak{Q}$, we demonstrate the existence and uniqueness of a common fixed point in symmetric anti fuzzy metric spaces in this study. We discuss some novel ideas for a few mappings named R-weakly commuting of type $(\mathfrak{\mathfrak{J_P}})$ and weakly commuting of type $(\mathfrak{\mathfrak{J_P}})$ on an anti fuzzy metric space.

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3

Wu, Hsien-Chung. "Using the Supremum Form of Auxiliary Functions to Study the Common Coupled Coincidence Points in Fuzzy Semi-Metric Spaces." Axioms 10, no. 1 (2021): 5. http://dx.doi.org/10.3390/axioms10010005.

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This paper investigates the common coupled coincidence points and common coupled fixed points in fuzzy semi-metric spaces. The symmetric condition is not necessarily satisfied in fuzzy semi-metric space. Therefore, four kinds of triangle inequalities are taken into account in order to study the Cauchy sequences. Inspired by the intuitive observations, the concepts of rational condition and distance condition are proposed for the purpose of simplifying the discussions.

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4

Wu, Hsien-Chung. "Asymptotically Coupled Coincidence Points and Asymptotically Coupled Fixed Points in Fuzzy Semi-Metric Spaces." Axioms 11, no. 12 (2022): 688. http://dx.doi.org/10.3390/axioms11120688.

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Asymptotically coupled coincidence points and asymptotically coupled fixed points in fuzzy semi-metric spaces are studied in this paper. The fuzzy semi-metric space is taken into account, which lacks symmetric conditions. In this case, the desired results are separately investigated based on four different types of triangle inequalities. The uniqueness of asymptotically coupled coincidence points cannot be guaranteed, and it can only be addressed in a weak sense of uniqueness. However, the uniqueness of asymptotically coupled fixed points can be guaranteed using different arguments.

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5

Rasham, Tahair, Farhan Saeed, Ravi P. Agarwal, Aftab Hussain, and Abdelbsset Felhi. "Symmetrical Hybrid Coupled Fuzzy Fixed-Point Results on Closed Ball in Fuzzy Metric Space with Applications." Symmetry 15, no. 1 (2022): 30. http://dx.doi.org/10.3390/sym15010030.

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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, the new notion of hybrid fuzzy-graph-dominated mappings introduced in fuzzy metric spaces achieves some new advanced fuzzy fixed-point problems. Some new definitions and illustrative examples are given to validate our new findings. Lastly, to demonstrate the originality of our new results, we present an application to the Fredholm-type integral equation.

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6

Zhong, Yu, Alexander Šostak, and Fu-Gui Shi. "Pointwise k-Pseudo Metric Space." Mathematics 9, no. 19 (2021): 2505. http://dx.doi.org/10.3390/math9192505.

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In this paper, the concept of a k-(quasi) pseudo metric is generalized to the L-fuzzy case, called a pointwise k-(quasi) pseudo metric, which is considered to be a map d:J(LX)×J(LX)⟶[0,∞) satisfying some conditions. What is more, it is proved that the category of pointwise k-pseudo metric spaces is isomorphic to the category of symmetric pointwise k-remote neighborhood ball spaces. Besides, some L-topological structures induced by a pointwise k-quasi-pseudo metric are obtained, including an L-quasi neighborhood system, an L-topology, an L-closure operator, an L-interior operator, and a pointwi

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7

Fernandez, Jerolina, Hüseyin Işık, Neeraj Malviya, and Fahd Jarad. "$ N_b $-fuzzy metric spaces with topological properties and applications." AIMS Mathematics 8, no. 3 (2022): 5879–98. http://dx.doi.org/10.3934/math.2023296.

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<abstract><p>Our aim is to introduce the notion of $ N_{b} $-fuzzy metric space (FMS). We also define quasi $ N $-FMS, and pseudo $ N_{b} $-FMS with examples and counterexamples and prove a decomposition theorem for pseudo $ N_{b} $-FMS. We prove various theorems related to the convergence of sequences and analyze topology of symmetric $ N_{b} $-FMS. At last, we provide an application of $ q $-contraction mapping as a Banach contraction principle (BCP) in the structure of symmetric $ N_{b} $-FMS and applied it in the solution of integral equations and linear equations.</p>&lt

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8

Saurabh, Manro. "BRAIN Journal - On Unique Common Fixed Point Theorems for Three and Four Self Mappings in Symmetric Fuzzy Metric Space." Brain Journal 1, no. 4 (2010): 74–79. https://doi.org/10.5281/zenodo.1037336.

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9

Ishtiaq, Umar, Fahad Jahangeer, Mubariz Garayev, and Ioan-Lucian Popa. "Existence and Uniqueness Results for Fuzzy Bipolar Metric Spaces." Symmetry 17, no. 2 (2025): 180. https://doi.org/10.3390/sym17020180.

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In this paper, we present the concept of (Υ,Ω)-iterativemappings in the setting of fuzzy bipolar metric space. The symmetric property in fuzzy bipolar metric spaces guarantees that the distance between any two elements remains invariant under permutation, ensuring consistency and uniformity in measurement regardless of the order in which the elements are considered. Furthermore, we prove several best proximity point results by utilizing (Υ,Ω)-fuzzy bipolar proximal contraction, (Υ,Ω)-Reich–Rus–Ciric type proximal contraction, (Υ,Ω)-Kannan type proximal contraction and (Υ,Ω)-Hardy–Rogers type c

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10

Shukla, Satish, Shweta Rai та Rahul Shukla. "Some Fixed Point Theorems for α-Admissible Mappings in Complex-Valued Fuzzy Metric Spaces". Symmetry 15, № 9 (2023): 1797. http://dx.doi.org/10.3390/sym15091797.

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This paper discusses some properties of complex-valued fuzzy metric spaces and introduces the α-admissible mappings in the setting of complex-valued fuzzy metric spaces. We establish fixed point theorems for mappings satisfying symmetric contractive conditions with control functions. The results of this paper generalize, extend, and improve several results from metric, fuzzy metric, and complex-valued fuzzy metric spaces. Several examples are presented that verify and illustrate the new concepts, claims, and results.

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11

Şahin, Memet, and Arif Sarıoğlan. "Neutrosophic Quadruple Metric Spaces." Symmetry 17, no. 7 (2025): 1096. https://doi.org/10.3390/sym17071096.

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Instead of measuring the distance between two points with a positive real number, determining the degree to which the distance between these two points is close, not close, or uncertain allows for more detailed measurement. Recently, researchers have overcome this grading problem by using probability distribution functions, along with fuzzy, intuitionistic fuzzy, and neutrosophic sets. This study pioneers neutrosophic quadruple metric spaces as a powerful new tool for quantifying distances under complex, multi-dimensional uncertainty. It provides a comprehensive mathematical structure, includi

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12

Ishtiaq, Umar, Fahad Jahangeer, Mubariz Garayev, and Ioan-Lucian Popa. "Existence and Uniqueness of a Solution of a Boundary Value Problem Used in Chemical Sciences via a Fixed Point Approach." Symmetry 17, no. 1 (2025): 127. https://doi.org/10.3390/sym17010127.

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In this paper, we present Proinov-type fixed point theorems in the setting of bi-polar metric spaces and fuzzy bi-polar metric spaces. Fuzzy bi-polar metric spaces with symmetric property extend classical metric spaces to address dual structures and uncertainty, ensuring consistency and balance. We provide different concrete conditions on the real-valued functions Ω,Π:0,∞→R for the existence of fixed points via the (Ω,Π)-contraction in bi-polar metric spaces. Further, we define real-valued functions Ω,Π:(0,1]→R to obtain fixed point theorems in fuzzy bi-polar metric spaces. We apply Ω,Π fuzzy

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13

Saeed, Muhammad, Umar Ishtiaq, Doha A. Kattan, Khaleel Ahmad, and Salvatore Sessa. "New Fixed Point Results in Neutrosophic b-Metric Spaces With Application." International Journal of Analysis and Applications 21 (July 27, 2023): 73. http://dx.doi.org/10.28924/2291-8639-21-2023-73.

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In this manuscript, we establish the notion of neutrosophic b-metric spaces as a generalization of fuzzy b-metric spaces, intuitionistic fuzzy b-metric spaces and neutrosophic metric spaces in which three symmetric properties plays an important role for membership, non-membership and neutral functions as well we derive some common fixed point and coincident point results for contraction mappings. Also, we provide several non-trivial examples with graphical views of neutrosophic b-metric spaces and contraction mappings by using computational techniques. Our results are more generalized with res

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14

Rao, K. P. R., I. Altun, and S. Hima Bindu. "Common Coupled Fixed-Point Theorems in Generalized Fuzzy Metric Spaces." Advances in Fuzzy Systems 2011 (2011): 1–6. http://dx.doi.org/10.1155/2011/986748.

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15

Shagari, Mohammed Shehu, Trad Alotaibi, Rehana Tabassum, Awad A. Bakery, OM Kalthum S. K. Mohamed, and Arafa O. Mustafa. "Feng-Liu’s Approach to Fixed Point Results of Intuitionistic Fuzzy Set-Valued Maps." Symmetry 15, no. 4 (2023): 930. http://dx.doi.org/10.3390/sym15040930.

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The applications of non-zero self distance function have recently been discovered in both symmetric and asymmetric spaces. With respect to invariant point results, the available literature reveals that the idea has only been examined for crisp mappings in either symmetric or asymmetric spaces. Hence, the aim of this paper is to introduce the notion of invariant points for non-crisp set-valued mappings in metric-like spaces. To this effect, the technique of κ-contraction and Feng-Liu’s approach are combined to establish new versions of intuitionistic fuzzy functional equations. One of the disti

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16

Sessa, Salvatore, Fahad Jahangeer, Doha A. Kattan та Umar Ishtiaq. "Development of Fixed Point Results for αΓ-F-Fuzzy Contraction Mappings with Applications". Symmetry 15, № 7 (2023): 1300. http://dx.doi.org/10.3390/sym15071300.

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This manuscript contains several fixed point results for αΓ-F-fuzzy contractive mappings in the framework of orthogonal fuzzy metric spaces. The symmetric property guarantees that the distance function is consistent and does not favour any one direction in orthogonal fuzzy metric spaces. No matter how the points are arranged, it enables a fair assessment of the separations between all of them. In fixed point results, the symmetry condition is preserved for several types of contractive self-mappings. Moreover, we provide several non-trivial examples to show the validity of our main results. Fur

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17

Adhya, Sugata, and A. Deb Ray. "Common fixed point theorems on complete and weak G-complete fuzzy metric spaces." Applied General Topology 25, no. 1 (2024): 17–34. http://dx.doi.org/10.4995/agt.2024.20590.

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Motivated by Gopal and Vetro [Iranian Journal of Fuzzy Systems, 11(3), 95-107], we introduce a symmetric pair of β-admissible mappings and obtain common fixed point theorems for such a pair in complete and weak G-complete fuzzy metric spaces. In particular, we rectified, generalize and improve the common fixed point theorem obtained by Turkoglu and Sangurlu [Journal of Intelligent & Fuzzy Systems, 26(1), 137-142] for two fuzzy ψ-contractive mappings. We include non-trivial examples to exhibit the generality and demonstrate our results.

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18

K. Vats, R., and V. Sihag. "Common Fixed Point Theorems for OWC Maps in Symmetric Fuzzy Metric Spaces." International Journal of Computer Applications 23, no. 5 (2011): 31–37. http://dx.doi.org/10.5120/2881-3751.

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19

JEYARAMAN, M., and M. SUGANTHI. "NEW APPROACHES ON SYMMETRIC GENERALIZED INTUITIONISTIC FUZZY METRIC SPACES." Journal of Universal Mathematics, February 18, 2021. http://dx.doi.org/10.33773/jum.679843.

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20

"Common fixed point theorems in symmetric weak non-Archimedean G-fuzzy metric spaces." Advances in Fixed Point Theory, 2021. http://dx.doi.org/10.28919/afpt/6169.

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