Relevant bibliographies by topics / B-metric space

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'B-metric space'

Author: Grafiati
Published: 2 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "B-metric space"

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Nădăban, Sorin. "Fuzzy b-Metric Spaces." International Journal of Computers Communications & Control 11, no. 2 (2016): 273. http://dx.doi.org/10.15837/ijccc.2016.2.2443.

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Metric spaces and their various generalizations occur frequently in computer science applications. This is the reason why, in this paper, we introduced and studied the concept of fuzzy b-metric space, generalizing, in this way, both the notion of fuzzy metric space introduced by I. Kramosil and J. Michálek and the concept of b-metric space. On the other hand, we introduced the concept of fuzzy quasi-bmetric space, extending the notion of fuzzy quasi metric space recently introduced by V. Gregori and S. Romaguera. Finally, a decomposition theorem for a fuzzy quasipseudo- b-metric into an ascend
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Ali, Mayada Nazar Mohammed, Raghad Ibrahim Sabri, and Fatema Ahmad Sadiq. "A new properties of fuzzy b-metric spaces." Indonesian Journal of Electrical Engineering and Computer Science 26, no. 1 (2022): 221–28. https://doi.org/10.11591/ijeecs.v26.i1.pp221-228.

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Metric spaces are specific types of topological spaces with pleasing “geometric” characteristics and they have a number of appealing properties and are commonly used in both pure and applied sciences. In this work, the structure of cartesian product space in the setting of a fuzzy b-metric space (Fb-M space) framework is introduced, which is an extension allows to create the large-scale structure for the space of the type fuzzy b-metric. The possibility of transferring some of the results and important features related to Fb-M space to this suggested space are discussed and demonst
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Borgaonkar, V. D., K. L. Bondar, and S. M. Jogdand. "COMMON FIXED POINT THEOREM FOR TWO MAPPINGS IN bi-b-METRIC SPACE." Advances in Mathematics: Scientific Journal 11, no. 1 (2022): 25–34. http://dx.doi.org/10.37418/amsj.11.1.3.

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In this paper we have used the concept of bi-metric space and intoduced the concept of bi-b-metric space. our objective is to obtain the common fixed point theorems for two mappings on two different b-metric spaces induced on same set X. In this paper we prove that on the set X two b-metrics are defined to form two different b-metric spaces and the two mappings defined on X have unique common fixed point.
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Romaguera, Salvador. "Concerning Fuzzy b-Metric Spaces †." Mathematics 11, no. 22 (2023): 4625. http://dx.doi.org/10.3390/math11224625.

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In an article published in 2015, Hussain et al. introduced a notion of a fuzzy b-metric space and obtained some fixed point theorems for this kind of space. Shortly thereafter, Nădăban presented a notion of a fuzzy b-metric space that is slightly different from the one given by Hussain et al., and explored some of its topological properties. Related to Nădăban’s study, Sedghi and Shobe, Saadati, and Šostak independently conducted investigations in articles published in 2012, 2015, and 2018, respectively, about another class of spaces that Sedgi and Shobe called b-fuzzy metric spaces, Saadati,
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Mohammed Ali, Mayada N., Raghad I. Sabri, and Fatema Ahmad Sadiq. "A new properties of fuzzy b-metric spaces." Indonesian Journal of Electrical Engineering and Computer Science 26, no. 1 (2022): 221. http://dx.doi.org/10.11591/ijeecs.v26.i1.pp221-228.

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Metric <span lang="EN-US">spaces are specific types of topological spaces with pleasing “geometric” characteristics and they have a number of appealing properties and are commonly used in both pure and applied sciences. In this work, the structure of cartesian product space in the setting of a fuzzy b-metric space (Fb-M space) framework is introduced, which is an extension allows to create the large-scale structure for the space of the type fuzzy b-metric. The possibility of transferring some of the results and important features related to Fb-M space to this suggested space are discusse
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Rasham, Tahair, Giuseppe Marino, and Abdullah Shoaib. "Fixed Points for a Pair of F-Dominated Contractive Mappings in Rectangular b-Metric Spaces with Graph." Mathematics 7, no. 10 (2019): 884. http://dx.doi.org/10.3390/math7100884.

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Recently, George et al. (in Georgea, R.; Radenovicb, S.; Reshmac, K.P.; Shuklad, S. Rectangular b-metric space and contraction principles. J. Nonlinear Sci. Appl. 2015, 8, 1005–1013) furnished the notion of rectangular b-metric pace (RBMS) by taking the place of the binary sum of triangular inequality in the definition of a b-metric space ternary sum and proved some results for Banach and Kannan contractions in such space. In this paper, we achieved fixed-point results for a pair of F-dominated mappings fulfilling a generalized rational F-dominated contractive condition in the better framework
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Hasanah, Dahliatul. "Fixed Point Theorems in Complex Valued B-Metric Spaces." CAUCHY 4, no. 4 (2017): 138. http://dx.doi.org/10.18860/ca.v4i4.3669.

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A complex-valued b-metric space is a generalization of a b-metric space in which its b-metric space has complex value. It can also be considered as a generalization of a complex-valued metric space. Hence, fixed point theorems that have been studied in b-metric spaces are now of interest whether the theorems are applicable in complex-valued b-metric spaces. In this paper we have obtained some fixed point theorems in complex-valued b-metric spaces. The theorems are derived from the corresponding theorems in b-metric spaces.
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Rathore, Shilpa, and Dr Abha Tenguria. "Contractive Mapping in Controlled Metric Space and Extended B-Metric Spaces." International Journal of Multidisciplinary Research and Growth Evaluation 6, no. 1 (2025): 1552–61. https://doi.org/10.54660/.ijmrge.2025.6.1.1552-1561.

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This paper discusses contractive mappings in controlled metric spaces and extended b-metric spaces. It starts with setting up the foundational definitions and properties of the mappings of contractive mappings and associated aspects emphasized in terms of their crucial role in ensuring convergence in iterative processes. Investigation is made in controlled metric spaces on how a controlled approach may increase the flexibility and applicability of contractive mappings, specifically in non-standard metrics. This paper extends the ideas developed here further to b-metric spaces where we discuss
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Romaguera, Salvador. "On Modular b-Metrics." Symmetry 16, no. 10 (2024): 1333. http://dx.doi.org/10.3390/sym16101333.

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The notions of modular b-metric and modular b-metric space were introduced by Ege and Alaca as natural generalizations of the well-known and featured concepts of modular metric and modular metric space presented and discussed by Chistyakov. In particular, they stated generalized forms of Banach’s contraction principle for this new class of spaces thus initiating the study of the fixed point theory for these structures, where other authors have also made extensive contributions. In this paper we endow the modular b-metrics with a metrizable topology that supplies a firm endorsement of the idea
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Zhu, Yifan, Lu Chen, Yunjun Gao, Baihua Zheng, and Pengfei Wang. "DESIRE." Proceedings of the VLDB Endowment 15, no. 10 (2022): 2121–33. http://dx.doi.org/10.14778/3547305.3547317.

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Similarity search finds similar objects for a given query object based on a certain similarity metric. Similarity search in metric spaces has attracted increasing attention, as the metric space can accommodate any type of data and support flexible distance metrics. However, a metric space only models a single data type with a specific similarity metric. In contrast, a multi-metric space combines multiple metric spaces to simultaneously model a variety of data types and a collection of associated similarity metrics. Thus, a multi-metric space is capable of performing similarity search over any
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Dissertations / Theses on the topic "B-metric space"

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Ståhl, Fredrik. "At the edge of space and time : exploring the b-boundary in general relativity." Doctoral thesis, Umeå universitet, Institutionen för matematik och matematisk statistik, 2000. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-96694.

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This thesis is about the structure of the boundary of the universe, i.e., points where the geometric structures of spacetime cannot be continued. In partic­ular, we study the structure of the b-boundary by B. Schmidt. It has been known for some time that the b-boundary construction has several drawbacks, perhaps the most severe being that it is often not Hausdorff separated from interior points in spacetime. In other words, the topology makes it impossible to distinguish which points in spacetime are near the singularity and which points are ‘far’ from it. The non-Hausdorffness of the b-comple
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Kravčenkaitė, Deimantė. "ELIPSINIO TIPO B-ERDVIŲ BEVEIK KONTAKTINIAI METRINIAI HIPERPAVIRŠIAI." Bachelor's thesis, Lithuanian Academic Libraries Network (LABT), 2010. http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2010~D_20100903_115127-19908.

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Darbe nagrinėjamos elipsinio tipo II rūšies beveik kontaktinės metrinės struktūros matematinėje literatūroje yra mažai tyrinėtos. Jos egzistuoja beveik kompleksinių daugdarų, turinčių B-metriką, normalizuotuose hiperpaviršiuose. Tiriama dviparametrinė tokių struktūrų šeima elipsinio tipo B-erdvės hiperpaviršiuje. Ryšys tarp šeimos struktūrų savybių įrodytas lemose ir teoremoje 3.<br>An almost contact metric structure (φ, ξ, η, g) of the elliptic type and of the second kind is defined in (2n-1)-dimensional manifold M2n-1 by affinor , vector , covector and metric gij satisfying the conditions: ,
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Books on the topic "B-metric space"

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Ampadu, Clement. Characterization Theorems Inspired by the Higher-Order Banach Mapping I: Some Results in Multiplicative B-Metric Space. Lulu Press, Inc., 2016.

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Ampadu, Clement. Characterization Theorems Inspired by the Higher Order Banach Mapping II: Some Results in Multiplicative Cone B-Metric Space. Lulu Press, Inc., 2016.

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Book chapters on the topic "B-metric space"

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Pingale, Megha S., Renu P. Pathak, and Reeta Bhardwaj. "Fixed Point Results Comprising with Modular Metric Space and Modular b-Metric Space Using Integral Type." In Advances in Algebra Analysis and Topology. Chapman and Hall/CRC, 2024. http://dx.doi.org/10.1201/9781032634142-11.

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Mahendra Singh, Yumnam, and Mohammad Saeed Khan. "On Parametric $$(b, \theta )$$-Metric Space and Some Fixed Point Theorems." In Metric Fixed Point Theory. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-4896-0_7.

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Uthayakumar, R., and J. Grace Margrate Mary. "Some Fixed Point Theorems in Asymmetric Strong b-Metric Space." In Springer Proceedings in Mathematics & Statistics. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-97-2640-0_9.

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Vishal Gupta, Raman Deep, and Naveen Gulati. "Common Fixed Point Results in G b Metric Space and Generalized Fuzzy Metric Space Using E.A Property and Altering Distance Function." In Advances in Intelligent Systems and Computing. Springer Singapore, 2016. http://dx.doi.org/10.1007/978-981-10-0451-3_16.

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Gautam, Pragati, and Swapnil Verma. "Results on interpolative Boyd-Wong contraction in quasi-partial b-metric space." In Advances in Mathematical Analysis and its Applications. Chapman and Hall/CRC, 2022. http://dx.doi.org/10.1201/9781003330868-9.

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Konwar, Nabanita. "Some New Fixed Point Results in Archimedean Type Intuitionistic Fuzzy b-Metric Space." In Advanced Mathematical Analysis and its Applications. Chapman and Hall/CRC, 2023. http://dx.doi.org/10.1201/9781003388678-4.

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Kirk, William, and Naseer Shahzad. "b-Metric Spaces." In Fixed Point Theory in Distance Spaces. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-10927-5_12.

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Wangwe, Lucas, and Santosh Kumar. "Common Fixed Point Theorem for Multivalued Mappings in Weak-Partial b-Metric Space with an Application." In Springer Proceedings in Mathematics & Statistics. Springer Nature Singapore, 2025. https://doi.org/10.1007/978-981-96-2579-6_9.

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Aserkar, Anushri A., and Manjusha P. Gandhi. "The Unique Common Fixed Point Theorem for Four Mappings Satisfying Common Limit in the Range Property in b-Metric Space." In Springer Proceedings in Mathematics & Statistics. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-1153-0_14.

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Karapınar, Erdal, and Ravi P. Agarwal. "Fixed Point Theorems on b-Metric Spaces." In Synthesis Lectures on Mathematics & Statistics. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-14969-6_5.

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Conference papers on the topic "B-metric space"

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Muteer, Hanin Hameed, and Mohammed J. Mohammed Al-Musafir. "On intuitionistic fuzzy rectangular b-metric space and intuitionistic fuzzy rectangular b-normed space." In INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING ICCMSE 2021. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0134712.

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Subashi, Ledia. "Some topological properties of extended b-metric space." In The 5th International Virtual Conference on Advanced Scientific Results. Publishing Society, 2017. http://dx.doi.org/10.18638/scieconf.2017.5.1.451.

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Sharma, Ria, and Surjeet Singh Chauhan. "Parametric b-2 metric space and fixed point results." In 2ND INTERNATIONAL CONFERENCE ON RECENT ADVANCES IN COMPUTATIONAL TECHNIQUES. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0162027.

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Özer, Ö., and S. Omran. "Common fixed point in C*-algebra b-valued metric space." In APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 8th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS’16. Author(s), 2016. http://dx.doi.org/10.1063/1.4964975.

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Rana, Kanika, and Surjeet Singh Chauhan(Gonder). "New results of fixed point in extended b-metric space." In 2ND INTERNATIONAL CONFERENCE ON RECENT ADVANCES IN COMPUTATIONAL TECHNIQUES. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0141195.

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Utreja, Kiran, and Shabnam Khan. "A Generalized Result of Fixed Point in Fuzzy b-Metric Space." In 2022 International Conference on Machine Learning, Big Data, Cloud and Parallel Computing (COM-IT-CON). IEEE, 2022. http://dx.doi.org/10.1109/com-it-con54601.2022.9850596.

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Thiyab, Younes Hazem, and Salim Dawood Mohsen. "Generalizations of fixed point theorems in fuzzy soft b-metric space." In 4TH INTERNATIONAL CONFERENCE ON INNOVATION IN IOT, ROBOTICS AND AUTOMATION (IIRA 4.0). AIP Publishing, 2025. https://doi.org/10.1063/5.0254596.

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Beniwal, Sunil, Praveen Tyagi, Reeta Bhardwaj, and Naveen Mani. "Fixed point result in parametric b-metric space for Frum-Ketkov type contractions." In 2ND INTERNATIONAL CONFERENCE ON RECENT ADVANCES IN COMPUTATIONAL TECHNIQUES. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0140907.

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Boudaoui, Ahmed, and Khadidja Mebarki. "Fixed point of Reich G-contraction in b-metric space endowed with a graph." In 2020 2nd International Conference on Mathematics and Information Technology (ICMIT). IEEE, 2020. http://dx.doi.org/10.1109/icmit47780.2020.9047037.

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Aserkar, Anushree A., and M. P. Gandhi. "A fixed point theorem for extended B-metric space satisfying rational type contractive condition." In PROCEEDINGS OF THE THIRD INTERNATIONAL CONFERENCE ON FRONTIERS IN INDUSTRIAL AND APPLIED MATHEMATICS 2020: FIAM-2020. AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0083599.

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