Relevant bibliographies by topics / Rectangular metric spaces

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

Academic literature on the topic 'Rectangular metric spaces'

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

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Journal articles on the topic "Rectangular metric spaces"

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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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Hussain, Nawab, Nawal Alharbi, and Ghada Basendwah. "Fixed-Point Results with Applications in Generalized Neutrosophic Rectangular b-Metric Spaces." Axioms 13, no. 12 (2024): 818. http://dx.doi.org/10.3390/axioms13120818.

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In this paper, we introduce several new concepts: generalized neutrosophic rectangular b-metric-like spaces (GNRBMLSs), generalized intuitionistic rectangular b-metric-like spaces (GIRBMLSs), and generalized fuzzy rectangular b-metric-like spaces (GFRBMLSs). These innovative spaces can expand various topological spaces, including neutrosophic rectangular extended b-metric-like spaces, intuitionistic fuzzy rectangular extended b-metric-like spaces, and fuzzy rectangular extended b-metric-like spaces. Moreover, we establish Banach’s fixed point theorem and Ćirić’s quasi-contraction theorem with
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Shukla, Satish. "Partial Rectangular Metric Spaces and Fixed Point Theorems." Scientific World Journal 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/756298.

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The purpose of this paper is to introduce the concept of partial rectangular metric spaces as a generalization of rectangular metric and partial metric spaces. Some properties of partial rectangular metric spaces and some fixed point results for quasitype contraction in partial rectangular metric spaces are proved. Some examples are given to illustrate the observed results.
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Rossafi, Mohamed, та Kari Abdelkarim. "Fixed point theorems for generalized θ-φ-contraction mappings in rectangular quasi b-metric spaces". Annals of Mathematics and Computer Science 27 (23 березня 2025): 1–16. https://doi.org/10.56947/amcs.v27.473.

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A generalized version of both rectangular metric spaces and rectangular quasi-metric spaces is known as rectangular quasi b-metric spaces (RQB-MS). In the current work, we define generalized ( θ,φ)-contraction mappings and study fixed point (FP) results for the maps introduced in the setting of rectangular quasi b-metric spaces. Our results generalize many existing results. We also provide examples in support of our main findings.
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Özgür, Nihal Yılmaz, Nabil Mlaiki, Nihal Taş, and Nizar Souayah. "A new generalization of metric spaces: rectangular M-metric spaces." Mathematical Sciences 12, no. 3 (2018): 223–33. http://dx.doi.org/10.1007/s40096-018-0262-4.

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Younis, Mudasir, Nicola Fabiano, Zaid Fadail, Zoran Mitrović, and Stojan Radenović. "Some new observations on fixed point results in rectangular metric spaces with applications to chemical sciences." Vojnotehnicki glasnik 69, no. 1 (2021): 8–30. http://dx.doi.org/10.5937/vojtehg69-29517.

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Introduction/purpose: This paper considers, generalizes and improves recent results on fixed points in rectangular metric spaces. The aim of this paper is to provide much simpler and shorter proofs of some new results in rectangular metric spaces. Methods: Some standard methods from the fixed point theory in generalized metric spaces are used. Results: The obtained results improve the well-known results in the literature. The new approach has proved that the Picard sequence is Cauchy in rectangular metric spaces. The obtained results are used to prove the existence of solutions to some nonline
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Malhotra, S. K., J. B. Sharma, and Satish Shukla. "g-Weak Contraction in Ordered Cone Rectangular Metric Spaces." Scientific World Journal 2013 (2013): 1–7. http://dx.doi.org/10.1155/2013/810732.

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We prove some common fixed-point theorems for the orderedg-weak contractions in cone rectangular metric spaces without assuming the normality of cone. Our results generalize some recent results from cone metric and cone rectangular metric spaces into ordered cone rectangular metric spaces. Examples are provided which illustrate the results.
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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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Haque, Salma, Fatima Azmi, and Nabil Mlaiki. "Fredholm Type Integral Equation in Controlled Rectangular Metric-like Spaces." Symmetry 14, no. 5 (2022): 991. http://dx.doi.org/10.3390/sym14050991.

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In this article, we present an extension of the controlled rectangular b-metric spaces, so-called controlled rectangular metric-like spaces, where we keep the symmetry condition and we only change the condition [D(s,r)=0⇔s=r]to[D(s,r)=0⇒s=r], which means we may have a non-zero self distance; also, D(s,s) is not necessarily less than D(s,r). This new type of metric space is a generalization of controlled rectangular b-metric spaces and partial rectangular metric spaces.
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Alamgir, Nayab, Quanita Kiran, Hassen Aydi, and Yaé Ulrich Gaba. "On Controlled Rectangular Metric Spaces and an Application." Journal of Function Spaces 2021 (April 30, 2021): 1–9. http://dx.doi.org/10.1155/2021/5564324.

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In this paper, we introduce the notion of controlled rectangular metric spaces as a generalization of rectangular metric spaces and rectangular b -metric spaces. Further, we establish some related fixed point results. Our main results extend many existing ones in the literature. The obtained results are also illustrated with the help of an example. In the last section, we apply our results to a common real-life problem in a general form by getting a solution for the Fredholm integral equation in the setting of controlled rectangular metric spaces.
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Dissertations / Theses on the topic "Rectangular metric spaces"

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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 spaces"

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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 spaces"

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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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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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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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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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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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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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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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