Relevant bibliographies by topics / Rectangular metric space

Contents

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

Academic literature on the topic 'Rectangular metric space'

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

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Journal articles on the topic "Rectangular metric space"

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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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Sharma, Dileep Kumar, and Jayesh Tiwari. "EXISTENCE AND UNIQUENESS OF COMMON FIXED POINT FOR TWO MAPPINGS IN RECTANGULAR METRIC SPACES AND RECTANGULAR b METRIC SPACES." Jnanabha 51, no. 02 (2021): 120–29. http://dx.doi.org/10.58250/jnanabha.2021.51214.

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The conception of rectangular b-metric space is introduced as a generalization of metric space, b-metric space and rectangular metric space. In this article we present existence and uniqueness of some fixed point results for new contractions in rectangular metric spaces and rectangular b-metric spaces. Some appropriate and innovative examples also displayed to support and validate these new outcomes.
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Adewale, O. K., J. O. Olaleru, H. Olaoluwa, and H. Akewe. "Fixed Point Theorems on Generalized Rectangular Metric Spaces." Journal of Mathematical Sciences: Advances and Applications 65, no. 1 (2021): 59–84. http://dx.doi.org/10.18642/jmsaa_7100122185.

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In this paper, we introduce the notion of generalized rectangular metric spaces which extends rectangular metric spaces introduced by Branciari. Analogues of the some well-known fixed point theorems are proved in this space. With an example, it is shown that a generalized rectangular metric space is neither a G-metric space nor a rectangular metric space. Our results generalize many known results in fixed point theory.
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Li, Chaobo, and Yunan Cui. "Rectangular Gb-Metric Spaces and Some Fixed Point Theorems." Axioms 11, no. 3 (2022): 108. http://dx.doi.org/10.3390/axioms11030108.

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In this paper, we first introduce the concept of rectangular Gb-metric space which generalizes the notion of rectangular metric space and Gb-metric space. Then, some fixed point results connected with certain contractions are obtained in the setting of rectangular Gb-metric spaces. Additionally, we also introduce the concept of convex rectangular Gb-metric space by means of the convex structure and study the fixed points of enriched type contractions in this space.
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Tiwari, Jayesh, and Dileep Kumar Sharma. "EXISTENCE AND UNIQUENESS OF FIXED POINT FOR NEW CONTRACTIONS IN RECTANGULAR b-METRIC SPACES." South East Asian J. of Mathematics and Mathematical Sciences 18, no. 03 (2022): 139–52. http://dx.doi.org/10.56827/seajmms.2022.1803.11.

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In this article, we give some new examples of rectangular b-metric spaces which are neither rectangular metric space nor metric space. After that we prove existence and uniqueness of new fixed points for some new contractions in rectangular b-metric spaces. Then we validate these results with suitable, appro- priate and innovative examples.
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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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Sila, Eriola, Sidite Duraj, and Elida Hoxha. "Some Fixed Point Results in Partial Rectangular Metric-Like Spaces." Journal of Mathematics 2021 (October 20, 2021): 1–9. http://dx.doi.org/10.1155/2021/5577776.

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In this paper, we introduce a new concept of partial rectangular metric-like space and prove some results on the existence and uniqueness of a fixed point of a function T : X ⟶ X , defined on a partial rectangular metric-like space X , which fulfills a nonlinear contractive condition using a comparison function and the diameter of the orbits. The obtained results generalize some previously acknowledged results in partial metric spaces, partial rectangular metric spaces, and rectangular metric-like spaces. The examples presented prove the usefulness of the introduced generalizations.
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Gautam, Pragati, Luis Manuel Sánchez Ruiz, and Swapnil Verma. "Fixed Point of Interpolative Rus–Reich–Ćirić Contraction Mapping on Rectangular Quasi-Partial b-Metric Space." Symmetry 13, no. 1 (2020): 32. http://dx.doi.org/10.3390/sym13010032.

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The purpose of this study is to introduce a new type of extended metric space, i.e., the rectangular quasi-partial b-metric space, which means a relaxation of the symmetry requirement of metric spaces, by including a real number s in the definition of the rectangular metric space defined by Branciari. Here, we obtain a fixed point theorem for interpolative Rus–Reich–Ćirić contraction mappings in the realm of rectangular quasi-partial b-metric spaces. Furthermore, an example is also illustrated to present the applicability of our result.
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Saleem, Naeem, Salman Furqan, Kinda Abuasbeh, and Muath Awadalla. "Fuzzy Triple Controlled Metric like Spaces with Applications." Mathematics 11, no. 6 (2023): 1390. http://dx.doi.org/10.3390/math11061390.

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In this article, we introduce the concept of a fuzzy triple controlled metric like space in the sense that the self distance may not be equal to one. We have used three functions in our space that generalize fuzzy controlled rectangular, extended fuzzy rectangular, fuzzy b–rectangular and fuzzy rectangular metric like spaces. Various examples are given to justify our definitions and results. As for the topological aspect, we prove a fuzzy triple controlled metric like space is not Hausdorff. We also apply our main result to solve the uniqueness of the solution of a fractional differential equa
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Noor Riyadh Adeeb. "Partial b-Rectangular Metric Space with Some Results." Tikrit Journal of Pure Science 27, no. 2 (2022): 91–95. http://dx.doi.org/10.25130/tjps.v27i2.73.

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A new generalization of metric space called partial b-rectangular metric space is introduced. Also, the relation between this generalization and the other generalizations for example a b-rectangular metric space is given. Moreover, we have proved Banach theorem and Kannan theorem of fixed Point in partial b-rectangular metric space. Furthermore, some definitions and results dealing with partial b-rectangular metric space are discussed
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Dissertations / Theses on the topic "Rectangular metric space"

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Chung, Chi-Sheng, and 鐘啟昇. "Common fixed point theorems in cone rectangular metric spaces." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/46970867471098689673.

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碩士<br>國立新竹教育大學<br>應用數學系碩士班<br>98<br>In this paper, we get some common fixed theorems in complete cone rectangular metric spaces under contractive condition (CBW). Our results extend many authors’ results [2,7].
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Lin, Ya-Ting, and 林雅婷. "A Common Fixed Point Theorem in Cone Rectangular Metric Spaces." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/54054991222959575768.

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碩士<br>國立新竹教育大學<br>應用數學系碩士班<br>98<br>Abstract In this paper, we first introduce the function phi which satisfies the condition (CBW), and then prove a common fixed point theorem in a cone rectangular metric space.
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Book chapters on the topic "Rectangular metric space"

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Mani, Gunaseelan, Ozgur Ege, Raghavendran Ramanathan, and Seethalakshmy Anandakrishnan. "New Fixed Point Results in Orthogonal Neutrosophic Triple Controlled Rectangular b-Metric Spaces." In Soft Computing. CRC Press, 2024. http://dx.doi.org/10.1201/9781003466260-8.

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Auwalu, Abba, and Ali Denker. "Cone Rectangular Metric Spaces over Banach Algebras and Fixed Point Results of T-Contraction Mappings." In Springer Proceedings in Mathematics & Statistics. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-69292-6_7.

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Kameswari, M. V. R. "Common Fixed Points for a Pair of Selfmaps in Extended Rectangular B-Metric Spaces for Almost Alpha-Suzuki Non Linear Type Contractions." In Current Topics on Mathematics and Computer Science Vol. 7. Book Publisher International (a part of SCIENCEDOMAIN International), 2021. http://dx.doi.org/10.9734/bpi/ctmcs/v7/3234f.

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Conference papers on the topic "Rectangular 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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Kumar, Krishan, and Mamta Kamra. "A fixed point theorem for cyclic contraction on rectangular metric space." In FRONTIERS IN INDUSTRIAL AND APPLIED MATHEMATICS: FIAM2022. AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0196123.

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Alsamir, Habes, та Haitham Qawaqneh. "Fixed point results using cyclic (ρ - θ)-admissible mapping and extended simulation function concept in rectangular b-metric space". У 2023 International Conference on Information Technology (ICIT). IEEE, 2023. http://dx.doi.org/10.1109/icit58056.2023.10225775.

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Wong, Koon Sang, Zabidin Salleh, Che Mohd Imran Che Taib, and Ilyani Abdullah. "Some fixed point results on fuzzy extended rectangular b-metric spaces." In THE 15TH UNIVERSITI MALAYSIA TERENGGANU ANNUAL SYMPOSIUM 2021 (UMTAS 2021). AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0152443.

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Auwalu, Abba, and Ali Denker. "Chatterjea-type fixed point theorem on cone rectangular metric spaces with banach algebras." In INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2020). AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0040595.

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Wong, Koon Sang, Zabidin Salleh та Ilyani Abdullah. "Fixed point results via β-admissibility in fuzzy extended rectangular b-metric spaces". У THE 7TH BIOMEDICAL ENGINEERING’S RECENT PROGRESS IN BIOMATERIALS, DRUGS DEVELOPMENT, AND MEDICAL DEVICES: The 15th Asian Congress on Biotechnology in conjunction with the 7th International Symposium on Biomedical Engineering (ACB-ISBE 2022). AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0192198.

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Nagarajan Kirupakaran, Gopinath, Govindarajan K V, and Debiprosad Roy Mahapatra. "On the Aero-Thermo-Structural Performance of Rectangular and Axisymmetric Scramjet Configurations." In AeroCON 2024. SAE International, 2024. http://dx.doi.org/10.4271/2024-26-0441.

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&lt;div class="section abstract"&gt;&lt;div class="htmlview paragraph"&gt;Scramjet-based hypersonic airbreathers are needed for next-generation defense and space applications. Two scramjet configurations, namely, rectangular and axisymmetric, are primarily studied in the literature. However, there is no quantitative comparison of the performance metrics between these two scramjet configurations. This study investigates the aero-thermo-structural performance of rectangular and axisymmetric scramjet engines at Mach 7 and 25 km altitude. A numerical framework involving computational fluid dynamic
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Katibeh, Mohammad, and Onur Bilgen. "Design Optimization of a Piezocomposite Ornithopter Wing Planform Using a Genetic Algorithm." In ASME 2022 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. American Society of Mechanical Engineers, 2022. http://dx.doi.org/10.1115/smasis2022-90706.

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Abstract A mechanism-free ornithopter, also referred to as a “solid-state” ornithopter, works based on utilizing piezocomposite actuators to achieve heaving and pitching motions for producing lift and thrust. A set of piezocomposite actuators are attached to a composite substrate, and as the piezocomposite devices are excited, a flapping motion is generated due to the induced strain. Previously, parametric studies were conducted on a rectangular wing model as well as a wing-like planform using the finite element method. In this article, a new parameterized model for the wing planform is introd
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Funke, Lawrence, and Matthew Opara. "Using Iterative Learning Control to Improve the Accuracy of Desktop Fused Deposition Modeling Printers: An Experimental Case Study." In ASME 2022 17th International Manufacturing Science and Engineering Conference. American Society of Mechanical Engineers, 2022. http://dx.doi.org/10.1115/msec2022-78324.

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Abstract Additive manufacturing (AM) sits poised to make a large impact on the manufacturing sector. Fused deposition modeling (FDM), a type of AM, while versatile, and increasingly appearing in full production systems, has performance limitations in certain geometries, such as arcs and holes. This is especially true for the desktop setups common in College Maker Spaces and other prototyping environments. For these use cases, it is critical to obtain accurate parts quickly, yet often difficult, diminishing the value of using FDM, whether it be to prototype new designs, make final parts, or any
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Dundar, Mehmet Akif, Emmanuel Ayorinde, and Mohammad Al-Zubi. "Determination of Impact Behavior of ABS From Acoustic Emission, Ultrasound and Optics." In ASME 2015 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/imece2015-52948.

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ABS (Acrylonitrile Butadiene Styrene) is an industrially-important and widely used amorphous thermoplastic on which billions of dollars are spent annually in USA. Its applications cover impact-mitigation, infrastructural and laboratory piping systems, sports goods, musical instruments, automotive trim components and bumper bars, medical devices, enclosures, protective headgear, marine craft, luggage, domestic appliances, toys, consumer goods, edgings for industrial goods, etc. Its use to contain impact damage is primary; hence continued research in this area is warranted. The novelty and contr
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