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Journal articles on the topic 'Modified intuitionistic fuzzy metric space'

Author: Grafiati

Published: 4 June 2025

Last updated: 1 August 2025

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1

Manro, Saurabh, Sanjay Kumar, S. S. Bhatia, and Kenan Tas. "Common Fixed Point Theorems in Modified Intuitionistic Fuzzy Metric Spaces." Journal of Applied Mathematics 2013 (2013): 1–13. http://dx.doi.org/10.1155/2013/189321.

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This paper consists of main two sections. In the first section, we prove a common fixed point theorem in modified intuitionistic fuzzy metric space by combining the ideas of pointwiseR-weak commutativity and reciprocal continuity of mappings satisfying contractive conditions. In the second section, we prove common fixed point theorems in modified intuitionistic fuzzy metric space from the class of compatible continuous mappings to noncompatible and discontinuous mappings. Lastly, as an application, we prove fixed point theorems using weakly reciprocally continuous noncompatible self-mappings o

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2

Gupta, Vishal, Ashima Kanwar, and Rahul Shukla. "Topological Properties and Fixed Point Results for Modified Intuitionistic Generalized Fuzzy Metric Spaces." International Journal of Analysis and Applications 23 (April 28, 2025): 102. https://doi.org/10.28924/2291-8639-23-2025-102.

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The principle originality inside the paper is to establish the concept of modified intuitionistic generalized fuzzy metric space and its fundamental topological properties. Moreover, we give the steps for proving some coupled coincidence point results for mapping with contractive condition in partial ordered modified intuitionistic generalized fuzzy metric space. Furthermore, an illustration is proved in the support of our main result.

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Gupta, Vishal, Anju, and Rahul Shukla. "Fixed Point Results in Complex Valued Modified Intuitionistic Fuzzy Metric Space with Applications." International Journal of Analysis and Applications 23 (May 8, 2025): 105. https://doi.org/10.28924/2291-8639-23-2025-105.

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The aims is to introduce complex-valued modified intuitionistic fuzzy metric spaces as a fresh perspective on complex-valued FMS and modified intuitionistic fuzzy metric spaces. Additionally, our work yields a fixed and common fixed point result on this newly introduced space. Our research outcomes are exemplified through examples that are included in this paper to help readers better grasp our findings. Our paper concludes with a discussion of how our findings can be applied to the problem of determining the existence of a unique solution for Fredholm integral equations.

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4

Gupta, Vishal, and Ashima Kanwar. "Unified Fixed Point Theorems on ∈−Chainable Fuzzy Metric Space and Modified Intuitionistic Fuzzy Metric Space." Applied Mathematics & Information Sciences 10, no. 6 (2016): 2283–91. http://dx.doi.org/10.18576/amis/100631.

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5

Gupta, Vishal, Anil Saini, and Aanchal Gondhi. "On modified intuitionistic fuzzy soft metric spaces and application." Miskolc Mathematical Notes 25, no. 1 (2024): 255. http://dx.doi.org/10.18514/mmn.2024.4323.

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This paper introduces self maps satisfying (CLRα) and (CLRαβ) property in Modified Intuitionistic Fuzzy Soft Metric Space (MIFSMS). Moreover, we have also extended common fixed point theorems for weakly compatible maps satisfying common limit range property in the setting of MIFSMS. We have also given an application utilising our new results.

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JAIN, SHOBHA, SHISHIR JAIN, and LAL BAHADUR JAIN. "COMPATIBILITY OF TYPE P IN MODIFIED INTUITIONISTIC FUZZY METRIC SPACE." Journal of Nonlinear Sciences and Applications 03, no. 02 (2010): 96–109. http://dx.doi.org/10.22436/jnsa.003.02.03.

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7

Sugandhi, Aarti, Sandeep Kumar Tiwari, and Aklesh Pariya. "Common Fixed Point Theorems for Weakly Compatible Mappings Using Common Property (E.A) in Modified Intuitionistic Fuzzy Metric Space." International Journal of Fuzzy Mathematical Archive 12, no. 01 (2017): 01–09. http://dx.doi.org/10.22457/ijfma.v12n1a1.

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The aim of present paper is to prove common fixed point theorems for four self mappings in modified intuitionistic fuzzy metric spaces using the common property (E.A.) satisfying an implicit relation.

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Gupta, Vishal, Aanchal Gondhi, and Rahul Shukla. "Fixed Point Results in Modified Intuitionistic Fuzzy Soft Metric Spaces with Application." Mathematics 12, no. 8 (2024): 1154. http://dx.doi.org/10.3390/math12081154.

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This paper establishes a new type of space, modified intuitionistic fuzzy soft metric space (MIFSMS). Basic properties and topological structures are defined in the setting of this new notion with valid examples. Moreover, we have given some new results along with suitable examples to show their validity. An application for finding the solution of an integral equation is also given by utilizing our newly developed results.

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9

PRANJALI, SHARMA, and DHAR DIWAN SHAILESH. "MODIFIED INTUITIONISTIC M-FUZZY METRIC SPACE AND SOME COMMON FIXED-POINT THEOREMS." i-manager’s Journal on Mathematics 8, no. 3 (2019): 10. http://dx.doi.org/10.26634/jmat.8.3.16954.

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10

Saadati, R., S. Sedghi, and N. Shobe. "Modified intuitionistic fuzzy metric spaces and some fixed point theorems." Chaos, Solitons & Fractals 38, no. 1 (2008): 36–47. http://dx.doi.org/10.1016/j.chaos.2006.11.008.

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11

Sintunavarat, Wutiphol, Sunny Chauhan, and Poom Kumam. "Some fixed point results in modified intuitionistic fuzzy metric spaces." Afrika Matematika 25, no. 2 (2012): 461–73. http://dx.doi.org/10.1007/s13370-012-0128-0.

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12

Manro. "Common Fixed Point Theorems in Modified Intuitionistic Fuzzy Metric Spaces." Journal of Advanced Research in Applied Mathematics 6, no. 3 (2014): 80–90. http://dx.doi.org/10.5373/jaram.1888.112413.

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13

Ali, Syed Shahnawaz, Jainendra Jain, P. L. Sanodiya, and Shilpi Jain. "Fixed Point Theorem for Occasionally Weakly Compatible Mappings in Modified Intuitionistic Fuzzy Metric Space." Annals of Pure and Applied Mathematics 14, no. 1 (2017): 189–98. http://dx.doi.org/10.22457/apam.v14n1a22.

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14

Rashmi, Rani. "Common Fixed Point Theorems Using R Weakly Commuting Mappings." International Journal of Trend in Scientific Research and Development 2, no. 5 (2018): 1516–20. https://doi.org/10.31142/ijtsrd17120.

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In this paper, we prove a common fixed point theorem in modified intuitionistic fuzzy metric space by combining the ideas of point wise R weak commutativity and reciprocal continuity of mappings satisfying contractive conditions. We also give example to prove validity of proved result. Rashmi Rani | tarikars87@gmail.com "Common Fixed Point Theorems Using R-Weakly Commuting Mappings" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-2 | Issue-5 , August 2018, URL: https://www.ijtsrd.com/papers/ijtsrd17120.pdf

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15

Deshpande, Bhavana, and Amrish Handa. "Application of Coupled Fixed Point Technique in Solving Integral Equations on Modified Intuitionistic Fuzzy Metric Spaces." Advances in Fuzzy Systems 2014 (2014): 1–11. http://dx.doi.org/10.1155/2014/348069.

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We establish a common coupled fixed point theorem for weakly compatible mappings on modified intuitionistic fuzzy metric spaces. As an application of our result, we study the existence and uniqueness of the solution to a nonlinear Fredholm integral equation. We also give an example to demonstrate our result.

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16

Chauhan, Sunny, Wasfi Shatanawi, Suneel Kumar, and Stojan Radenović. "Existence and uniqueness of fixed points in modified intuitionistic fuzzy metric spaces." Journal of Nonlinear Sciences and Applications 07, no. 01 (2015): 28–41. http://dx.doi.org/10.22436/jnsa.007.01.04.

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17

Manro, Saurabh, Sanjay Kumar, S. S. Bhatia, and Kenan Tas. "Erratum to “Common Fixed Point Theorems in Modified Intuitionistic Fuzzy Metric Spaces”." Journal of Applied Mathematics 2014 (2014): 1. http://dx.doi.org/10.1155/2014/486102.

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18

Chauhan, Sunny, Mohammad Imdad, and Bessem Samet. "Coincidence and common fixed point theorems in modified intuitionistic fuzzy metric spaces." Mathematical and Computer Modelling 58, no. 3-4 (2013): 898–906. http://dx.doi.org/10.1016/j.mcm.2013.03.010.

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19

Gupta, Vishal, R. K. Saini, and Ashima Kanwar. "Some Common Coupled Fixed Point Results on Modified Intuitionistic Fuzzy Metric Spaces." Procedia Computer Science 79 (2016): 32–40. http://dx.doi.org/10.1016/j.procs.2016.03.006.

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20

Beloul, Said, and Anita Tomar. "Integral type common fixed point theorems in modified intuitionistic fuzzy metric spaces." Afrika Matematika 30, no. 3-4 (2019): 581–96. http://dx.doi.org/10.1007/s13370-019-00668-1.

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21

Ali, Javid, M. A. Ahmed, and H. A. Nafadi. "Common fixed points for hybrid pairs of maps in modified intuitionistic fuzzy metric spaces." Journal of Intelligent & Fuzzy Systems 31, no. 3 (2016): 2027–33. http://dx.doi.org/10.3233/jifs-16315.

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22

Manro, Saurabh, and Sumitra . "Common New Fixed Point Theorem in Modified Intuitionistic Fuzzy Metric Spaces Using Implicit Relation." Applied Mathematics 04, no. 09 (2013): 27–31. http://dx.doi.org/10.4236/am.2013.49a005.

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23

Imdad, Mohammad, Sunny Chauhan, and Sumitra Dalal. "Unified Fixed Point Theorems via Common Limit Range Property in Modified Intuitionistic Fuzzy Metric Spaces." Abstract and Applied Analysis 2013 (2013): 1–11. http://dx.doi.org/10.1155/2013/413473.

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The purpose of this paper is to emphasize the role of “common limit range property” to ascertain the existence of common fixed points in modified intuitionistic fuzzy metric spaces enjoying an implicit function utilized in Tanveer et al. (2012) and Imdad et al. (2012). As an application to our main result, we derive a fixed point theorem for finite families of self-mappings. We also give some examples which demonstrate the validity of the hypotheses and degree of generality of our main results. Our results improve and extend several previously known fixed point theorems of the existing literat

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24

Salem, Naeem, and Said Beloul. "Common Fixed Point Theorems for Weakly Subsequentially Continuous Mappings in Modified Intuitionistic Fuzzy Metric Spaces." Universal Journal of Applied Mathematics 5, no. 5 (2017): 96–105. http://dx.doi.org/10.13189/ujam.2017.050502.

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25

Ahmed, M. A., Ismat Beg, S. A. Khafagy, and H. A. Nafadi. "Fixed points for a sequence of L -fuzzy mappings in non-Archimedean ordered modified intuitionistic fuzzy metric spaces." Journal of Nonlinear Sciences and Applications 14, no. 02 (2020): 97–108. http://dx.doi.org/10.22436/jnsa.014.02.05.

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26

Imdad, Mohammad, M. A. Ahmed, and H. A. Nafadi. "Common fixed point theorems for hybrid pairs of L-fuzzy mappings in non-Archimedean modified intuitionistic fuzzy metric spaces." Journal of Intelligent & Fuzzy Systems 33, no. 1 (2017): 667–77. http://dx.doi.org/10.3233/jifs-16966.

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27

Deshpande, Bhavana, and Amrish Handa. "Nonlinear mixed monotone-generalized contractions on partially ordered modified intuitionistic fuzzy metric spaces with application to integral equations." Afrika Matematika 26, no. 3-4 (2013): 317–43. http://dx.doi.org/10.1007/s13370-013-0204-0.

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28

Shatanawi, Wasfi, Vishal Gupta, and Ashima Kanwar. "New results on modified intuitionistic generalized fuzzy metric spaces by employing E.A property and common E.A property for coupled maps." Journal of Intelligent & Fuzzy Systems 38, no. 3 (2020): 3003–10. http://dx.doi.org/10.3233/jifs-190541.

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29

Ishtiaq, Umar, Doha A. Kattan, Khaleel Ahmad, Tania A. Lazăr, Vasile L. Lazăr, and Liliana Guran. "On Intuitionistic Fuzzy Nb Metric Space and Related Fixed Point Results with Application to Nonlinear Fractional Differential Equations." Fractal and Fractional 7, no. 7 (2023): 529. http://dx.doi.org/10.3390/fractalfract7070529.

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This manuscript contains several new notions including intuitionistic fuzzy Nb metric space, intuitionistic fuzzy quasi-Sb-metric space, intuitionistic fuzzy pseudo-Sb-metric space, intuitionistic fuzzy quasi-N-metric space and intuitionistic fuzzy pseudo Nb fuzzy metric space. We prove decomposition theorem and fixed-point results in the setting of intuitionistic fuzzy pseudo Nb fuzzy metric space. Further, we provide several non-trivial examples to show the validity of introduced notions and results. At the end, we solve an integral equation, system of linear equations and nonlinear fraction

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30

Lohani, Q. M. Danish. "Intuitionistic Fuzzy 2-Metric Space and Some Topological Properties." International Journal of Artificial Life Research 2, no. 3 (2011): 59–73. http://dx.doi.org/10.4018/jalr.2011070107.

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The notion of intuitionistic fuzzy metric space was introduced by Park (2004) and the concept of intuitionistic fuzzy normed space by Saadati and Park (2006). Recently Mursaleen and Lohani introduced the concept of intuitionistic fuzzy 2-metric space (2009) and intuitionistic fuzzy 2-norm space. This paper studies precompactness and metrizability in this new setup of intuitionistic fuzzy 2-metric space.

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31

Altanji, Mohamed, Annamalai Santhi, Vediyappan Govindan, Shyam Sundar Santra, and Samad Noeiaghdam. "Fixed-Point Results Related to b-Intuitionistic Fuzzy Metric Space." Journal of Function Spaces 2022 (May 12, 2022): 1–15. http://dx.doi.org/10.1155/2022/9561906.

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In this study, we contribute to the terminological debate about various fixed-point results’ use of the term intuitionistic fuzzy b-metric space in defining the structure based on fuzzy sets. As a predominant result, we give an adequate condition for a sequence to be Cauchy in the intuitionistic fuzzy b-metric space. Subsequently, we simplify the proofs of manifold fixed-point theorems in the intuitionistic fuzzy b-metric spaces under the prominent contraction conditions. Also, we give a satisfactory condition for a solution to Cauchy in the intuitionistic fuzzy b-metric spaces.

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32

Onbaşıoğlu, Şuara, and Banu Pazar Varol. "Intuitionistic Fuzzy Metric-like Spaces and Fixed-Point Results." Mathematics 11, no. 8 (2023): 1902. http://dx.doi.org/10.3390/math11081902.

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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 sequences, contractive mapping and some fixed-point theorems in intuitionistic fuzzy metric-like space. We also give explanations, examples and counterexamples to validate the superiority of these results. Our results provide a substantial extension of several important results from fuzzy metric-like spaces.

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33

Kargın, Abdullah. "Intuitionistic Fuzzy Partial Metric Spaces." Adıyaman University Journal of Science 15, no. 1 (2025): 77–97. https://doi.org/10.37094/adyujsci.1635359.

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Fuzzy logic is a theory that is used as an alternative to classical structures in both application and algebraic fields. The fixed point theorem is a theorem widely used in mathematics, especially in metric spaces and partial metric spaces. The fixed point theorem is used on classical metric structures, but it is also widely used on fuzzy metric spaces, fuzzy partial metric spaces and intuitionistic fuzzy metric spaces. In this paper, intuitionistic fuzzy partial metric spaces are defined, their basic properties and examples are obtained. For it, open ball, convergent sequence, and Cauchy sequ

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34

Ishtiaq, Umar, Salha Alshaikey, Muhammad Bilal Riaz, and Khaleel Ahmad. "Fixed point results in intuitionistic fuzzy pentagonal controlled metric spaces with applications to dynamic market equilibrium and satellite web coupling." PLOS ONE 19, no. 8 (2024): e0303141. http://dx.doi.org/10.1371/journal.pone.0303141.

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This manuscript contains several new spaces as the generalizations of fuzzy triple controlled metric space, fuzzy controlled hexagonal metric space, fuzzy pentagonal controlled metric space and intuitionistic fuzzy double controlled metric space. We prove the Banach fixed point theorem in the context of intuitionistic fuzzy pentagonal controlled metric space, which generalizes the previous ones in the existing literature. Further, we provide several non-trivial examples to support the main results. The capacity of intuitionistic fuzzy pentagonal controlled metric spaces to model hesitation, ca

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35

Khan, Vakeel, and Rahaman Ashadul. "Statistical convergence in intuitionistic fuzzy G-metric spaces with order n." Filomat 38, no. 8 (2024): 2785–812. https://doi.org/10.2298/fil2408785k.

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Mohiudddine and Alotaibi [25] introduced the notion of intuitionistic generalized fuzzy metric space to extend the generalized fuzzy metric space. Choi et al.[Structure for 1-Metric Spaces and Related Fixed Point Theorems, arXiv preprint arXiv:1804.03651, (2018)] has recently proposed the notion of 1-metric as a generalized notion of the distance function. Employing the idea in this paper, we first put forth the notion of Intuitionistic fuzzy G-metric space with order n as a generalization of intuitionistic fuzzy metric space. We describe some properties of this novel space and construct examp

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36

Agrawal, Swati, P. L. Sanodia, Neeraj Malviya, and Jyoti Nema. "COINCIDENCE AND COMMON FIXED-POINT THEOREM USING COMPATIBLE MAPPING OF TYPE (P) ON INTUITIONISTIC FUZZY b-METRIC SPACES." South East Asian J. of Mathematics and Mathematical Sciences 20, no. 01 (2024): 469–80. http://dx.doi.org/10.56827/seajmms.2024.2001.36.

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37

Edan, Alaa J., and Sameer Q. Hasan. "On Intuitionistic Fuzzy Quasi Metric Space." Al-Mustansiriyah Journal of Science 33, no. 2 (2022): 64–69. http://dx.doi.org/10.23851/mjs.v33i2.1093.

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In this article the fixed point of intuitionistic fuzzy quasi metric space instabilities on two metrics dx(f, g) and Dx(f, g) on complicity space X have been studied and presented in details depended on (0,1]-fuzzy contractive map. The illustrative example is proposed to explain the present results using quick sort algorithm.

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38

Sewani, Godavari, A. D. Singh, Ruchi Singh, and Ramakant Bhardwaj. "Generalized Intuitionistic Fuzzy b-Metric Space." ECS Transactions 107, no. 1 (2022): 12415–34. http://dx.doi.org/10.1149/10701.12415ecst.

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In b-IFMS, the script consists of varied fixed point (FP) generalized results. It's a dominating outcome where an appropriate condition for a real sequence conferred to be cauchy within. Afterwards, results have been interpreted by way of manifold FP theorems in this pre-defined space with the exceptional contraction circumstances.

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39

Hussain, Aftab, Hamed Al Sulami, and Umar Ishtiaq. "Some New Aspects in the Intuitionistic Fuzzy and Neutrosophic Fixed Point Theory." Journal of Function Spaces 2022 (March 3, 2022): 1–14. http://dx.doi.org/10.1155/2022/3138740.

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In this manuscript, we use the concepts of continuous t-norms and continuous t-conorms to introduce some definitions, in which intuitionistic fuzzy rectangular metric spaces, intuitionistic fuzzy rectangular metric-like spaces, intuitionistic fuzzy rectangular b-metric spaces, intuitionistic fuzzy rectangular b-metric-like spaces, neutrosophic rectangular metric spaces, neutrosophic rectangular metric-like spaces, neutrosophic rectangular b-metric spaces, and neutrosophic rectangular b-metric-like spaces are included. Continuous t-norms and continuous t-conorms are used to generalize the proba

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40

Amani E. Kadhm. "Some properties of intuitionistic fuzzy cone metric space." journal of the college of basic education 27, no. 110 (2022): 1225–35. http://dx.doi.org/10.35950/cbej.v27i110.5548.

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In this paper, we will study the concepts of continuous cross-sectional fuzzy conic and prove the Schauder fixed point theorem in "intuitive fuzzy conic metric spaces as a generalization of the fuzzy metric conic space and prove another version of the Schauder fixed point theorem in the intuitive fuzzy metric conic space as a generalization" of other types of point theorems fixed in the intuitively blurry conic metric space that other researchers are studying, as well as to the usual intuitively blurry conic metric space.

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41

A. Muraliraj and R. Thangathamizh. "SOME NEW FIXED POINT THEOREMS FOR ITERATED CONTRACTION MAPS IN INTUITIONISTIC FUZZY METRIC SPACE." Jnanabha 52, no. 01 (2022): 66–68. http://dx.doi.org/10.58250/jnanabha.2022.52108.

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We propose iterated contraction maps in intuitionistic fuzzy metric spaces and establish some novel fixed point theorems for intuitionistic fuzzy iterated contraction maps in intuionistic fuzzy metric spaces in this work.

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42

Uddin, Fahim, Umar Ishtiaq, Khalil Javed, et al. "A New Extension to the Intuitionistic Fuzzy Metric-like Spaces." Symmetry 14, no. 7 (2022): 1400. http://dx.doi.org/10.3390/sym14071400.

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In this manuscript, we introduce the concept of intuitionistic fuzzy controlled metric-like spaces via continuous t-norms and continuous t-conorms. This new metric space is an extension to intuitionistic fuzzy controlled metric-like spaces, controlled metric-like spaces and controlled fuzzy metric spaces, and intuitionistic fuzzy metric spaces. We prove some fixed-point theorems and we present non-trivial examples to illustrate our results. We used different techniques based on the properties of the considered spaces notably the symmetry of the metric. Moreover, we present an application to no

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43

Mehra, Seema. "Common Fixed Points of Weakly Compatible Mappings in ~-Chainable Intuitionistic Fuzzy Metric Spaces." International Journal of Engineering & Technology 1, no. 1 (2012): 14. http://dx.doi.org/10.14419/ijet.v1i1.24.

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The aim of this paper is to introduce the notion of~-chainable intuitionistic fuzzy metric spaces and prove a common fixed point theorem for four weakly compatible mappings in this newly defined space. Our result is intuitionistic fuzzy version of Cho and Jung's [1] and Mukherjee's [9] results in ~-chainable fuzzy metric space.

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44

Manandhar, K. B., K. Jha, and Y. J. Cho. "Common Fixed Point Theorem in Intuitionistic Fuzzy Metric Space Using Compatible Mappings of Type (K)." Bulletin of Society for Mathematical Services and Standards 10 (June 2014): 53–58. http://dx.doi.org/10.18052/www.scipress.com/bsmass.10.53.

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In this paper, we introduce the notion of compatible mappings of type (K) in intuitionistic fuzzy metric space and obtain a common fixed point theorem for self mappings on complete intuitionistic fuzzy metric space with example. Our result generalizes and improves other similar results in literature.

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45

Dr., Kanchan Mishra. "Implementation of Common Soft Fixed Point with Intuitionistic Soft Fuzzy Metric Space." 'Journal of Research & Development' 15, no. 11 (2023): 145–52. https://doi.org/10.5281/zenodo.8046459.

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In this article, we define compatible mappings of type (K) in intuitionistic fuzzy metric space and prove a general Soft fixed point theorem with an application to self mappings on a full intuitionistic fuzzy metric space. Our conclusion broadens and enhances earlier, related findings in the literature.

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46

Güner, Elif, Vildan Çetkin, and Halis Aygün. "On Intuitionistic Fuzzy 2-Metric Spaces." ITM Web of Conferences 22 (2018): 01024. http://dx.doi.org/10.1051/itmconf/20182201024.

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In this study, we first recall the notion of an intuitionistic fuzzy 2-metric space and fundamental definitions with several illustrative examples. Then we define the notion of δ−chainable space and (δ,λ)−uniform locally contractive mapping between intuitionistic fuzzy 2-metric spaces. After that, by using the proposed concepts, we obtain a few fixed point theorems of self-mappings defined on this spaces.

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47

Park, Jong-Seo, Young-Chel Kwun, and Jin-Han Park. "Some Properties on Intuitionistic Fuzzy Metric Space." International Journal of Fuzzy Logic and Intelligent Systems 10, no. 2 (2010): 152–56. http://dx.doi.org/10.5391/ijfis.2010.10.2.152.

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48

Tripathi, Namrata, and Anil Rajput. "Noncompatible Mappings in Intuitionistic Fuzzy Metric Space." Journal of Advanced Studies in Topology 3, no. 4 (2012): 62. http://dx.doi.org/10.20454/jast.2012.291.

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49

Abu-Donia, Hassan, Hany Atia, and Omnia Khater. "Fixed point theorem for compatible mappings in intuitionistic fuzzy 3-metric spaces." Thermal Science 24, Suppl. 1 (2020): 371–76. http://dx.doi.org/10.2298/tsci20371a.

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In this paper, we introduced the concept of weak compatible of type (?) and asymptotically regular defined on intuitionistic fuzzy 3-metric space and proved the uniqueness and existence the fixed point theorem for five mappings from a complete intuitionistic fuzzy 3-metric space into itself under weak compatible of type (?) and asymptotically regular. The used definitions and theorem show the practice of our main idea.

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50

Abu-Donia, Hassan, Hany Atia, and Omnia Khater. "Fixed point theorem for compatible mappings in intuitionistic fuzzy 3-metric spaces." Thermal Science 24, Suppl. 1 (2020): 371–76. http://dx.doi.org/10.2298/tsci20s1371a.

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In this paper, we introduced the concept of weak compatible of type (?) and asymptotically regular defined on intuitionistic fuzzy 3-metric space and proved the uniqueness and existence the fixed point theorem for five mappings from a complete intuitionistic fuzzy 3-metric space into itself under weak compatible of type (?) and asymptotically regular. The used definitions and theorem show the practice of our main idea.

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