Relevant bibliographies by topics / Rectangular S metric spaces

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  2. Dissertations / Theses
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Academic literature on the topic 'Rectangular S metric spaces'

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

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Journal articles on the topic "Rectangular S metric spaces"

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Asmita, Yadav, and S. Saluja A. "A Result on Fixed Points in Rectangular S-Metric Spaces." International Journal of Mathematics and Computer Research 13, no. 05 (2025): 5190–92. https://doi.org/10.5281/zenodo.15432783.

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In this paper, the notion of rectangular S-metric which extends rectangular metric spaces introduced by Branciari. The results obtained expand and generalize several well-established findings in the existing literature. <strong>MATHEMATICS SUBJECT CLASSIFICATION (2020) :</strong>&nbsp;Primary: 54H25; Secondary:54E50, 47H10.
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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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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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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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Furqan, Salman, Hüseyin Işık, and Naeem Saleem. "Fuzzy Triple Controlled Metric Spaces and Related Fixed Point Results." Journal of Function Spaces 2021 (May 20, 2021): 1–8. http://dx.doi.org/10.1155/2021/9936992.

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In this study, we introduce fuzzy triple controlled metric space that generalizes certain fuzzy metric spaces, like fuzzy rectangular metric space, fuzzy rectangular b -metric space, fuzzy b -metric space, and extended fuzzy b -metric space. We use f , g , h , three noncomparable functions as follows: m q μ , η , t + s + w ≥ m q μ , ν , t / f μ , ν ∗ m q ν , ξ , s / g ν , ξ ∗ m q ξ , η , w / h ξ , η . We prove Banach fixed point theorem in the settings of fuzzy triple controlled metric space that generalizes Banach fixed point theorem for aforementioned spaces. An example is presented to suppo
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Zubair, Sumaiya Tasneem, Kalpana Gopalan, Thabet Abdeljawad, and Bahaaeldin Abdalla. "On Fuzzy Extended Hexagonal b-Metric Spaces with Applications to Nonlinear Fractional Differential Equations." Symmetry 13, no. 11 (2021): 2032. http://dx.doi.org/10.3390/sym13112032.

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The focus of this research article is to investigate the notion of fuzzy extended hexagonal b-metric spaces as a technique of broadening the fuzzy rectangular b-metric spaces and extended fuzzy rectangular b-metric spaces as well as to derive the Banach fixed point theorem and several novel fixed point theorems with certain contraction mappings. The analog of hexagonal inequality in fuzzy extended hexagonal b-metric spaces is specified as follows utilizing the function b(c,d): mhc,d,t+s+u+v+w≥mhc,e,tb(c,d)∗mhe,f,sb(c,d)∗mhf,g,ub(c,d)∗mhg,k,vb(c,d)∗mhk,d,wb(c,d) for all t,s,u,v,w&gt;0 and c≠e,e
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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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Dissertations / Theses on the topic "Rectangular S metric spaces"

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Ferreira, Mônica Ribeiro Porto. "Optimizing similarity queries in metric spaces meeting user\'s expectation." Universidade de São Paulo, 2012. http://www.teses.usp.br/teses/disponiveis/55/55134/tde-24012013-091242/.

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The complexity of data stored in large databases has increased at very fast paces. Hence, operations more elaborated than traditional queries are essential in order to extract all required information from the database. Therefore, the interest of the database community in similarity search has increased significantly. Two of the well-known types of similarity search are the Range (\'R IND. q\') and the k-Nearest Neighbor (\'kNN IND. q\') queries, which, as any of the traditional ones, can be sped up by indexing structures of the Database Management System (DBMS). Another way of speeding up que
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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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"On completeness of partial metric spaces, symmetric spaces and some fixed point results." Thesis, 2016. http://hdl.handle.net/10500/23206.

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The purpose of the thesis is to study completeness of abstract spaces. In particular, we study completeness in partial metric spaces, partial metric type spaces, dislocated metric spaces, dislocated metric type spaces and symmetric spaces that are generalizations of metric spaces. It is well known that complete metric spaces have a wide range of applications. For instance, the classical Banach contraction principle is phrased in the context of complete metric spaces. Analogously, the Banach's xed point theorem and xed point results for Lipschitzian maps are discussed in this context,
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Aphane, Maggie. "On completeness of partial metric spaces, symmetric spaces and some fixed point results." Thesis, 2016. http://hdl.handle.net/10500/23223.

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The purpose of the thesis is to study completeness of abstract spaces. In particular, we study completeness in partial metric spaces, partial metric type spaces, dislocated metric spaces, dislocated metric type spaces and symmetric spaces that are generalizations of metric spaces. It is well known that complete metric spaces have a wide range of applications. For instance, the classical Banach contraction principle is phrased in the context of complete metric spaces. Analogously, the Banach's xed point theorem and xed point results for Lipschitzian maps are discussed in this context,
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Malý, Lukáš. "Prostory Sobolevova typu na metrických prostorech s mírou." Doctoral thesis, 2014. http://www.nusl.cz/ntk/nusl-342330.

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Title: Sobolev-Type Spaces on Metric Measure Spaces Author: RNDr. Lukáš Malý Department: Department of Mathematical Analysis Supervisor: Prof. RNDr. Luboš Pick, CSc., DSc., Department of Mathematical Analysis Abstract: is thesis focuses on function spaces related to rst-order analysis in abstract metric measure spaces. In metric spaces, we can replace distributional gra- dients, whose de nition depends on the linear structure of Rn , by upper gradients that control the functions' behavior along all recti able curves. is gives rise to the so-called Newtonian spaces. e summability condition, con
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Kuncová, Kristýna. "Neabsolutně konvergentní integrály." Doctoral thesis, 2019. http://www.nusl.cz/ntk/nusl-408083.

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Title: Nonabsolutely convergent integrals Author: Krist'yna Kuncov'a Department: Department of Mathematical Analysis Supervisor: prof. RNDr. Jan Mal'y, DrSc., Department of Mathematical Analysis Abstract: In this thesis we develop the theory of nonabsolutely convergent Hen- stock-Kurzweil type packing integrals in different spaces. In the framework of metric spaces we define the packing integral and the uniformly controlled inte- gral of a function with respect to metric distributions. Applying the theory to the notion of currents we then prove a generalization of the Stokes theorem. In Rn we
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Books on the topic "Rectangular S metric spaces"

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author, Tian Gang 1958, ed. The geometrization conjecture. American Mathematical Society, 2014.

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Book chapters on the topic "Rectangular S metric spaces"

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Özgür, Nihal Yılmaz, and Nihal Taş. "Some Generalizations of Fixed-Point Theorems on S-Metric Spaces." In Essays in Mathematics and its Applications. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-31338-2_11.

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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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Taş, Nihal. "Proinov E S -Contraction Type Unique and Non-Unique Fixed-Point Results on S-Metric Spaces." In Advanced Mathematical Analysis and its Applications. Chapman and Hall/CRC, 2023. http://dx.doi.org/10.1201/9781003388678-6.

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Kumar, Manoj, and Pankaj Kumar. "Suzuki-Edelstein Type Contractions in S-metric Spaces." In Metrical Fixed Point Theory and Applications. RGN Publications, 2024. http://dx.doi.org/10.26713/mfpta.01.

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Yadav, Pooja, and Mamta Kamra. "BANACH FIXED CONTRACTION MAPPING THEOREM IN VECTOR S-METRIC SPACES." In Futuristic Trends in Contemporary Mathematics & Applications Volume 3 Book 2. Iterative International Publishers, Selfypage Developers Pvt Ltd, 2024. http://dx.doi.org/10.58532/v3bkcm2p5ch3.

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Earl, Richard. "4. The plane and other spaces." In Topology: A Very Short Introduction. Oxford University Press, 2019. http://dx.doi.org/10.1093/actrade/9780198832683.003.0004.

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Most functions have several numerical inputs and produce more than one numerical output. But even generally continuity requires that we can constrain the difference in outputs by suitably constraining the difference in inputs. ‘The plane and other spaces’ asks more general questions such as ‘is the distance a car has travelled a continuous function of its speed?’ This is a subtle question as neither the input nor output are numbers, but rather functions of time, with input the speed function s(t) and output the distance function d(t). In answering the question, it considers continuity between
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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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Joyce, Dominic D. "Riemannian Holonomy Groups." In Riemannian Holonomy Groups and Calibrated Geometry. Oxford University PressOxford, 2007. http://dx.doi.org/10.1093/oso/9780199215607.003.0003.

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Abstract Let M be a manifold, and g a Riemannian metric on M . Then there is a unique, preferred connection on TM called the Levi-Civita connection, which is torsion-free and satisfies g = 0. The curvature R( ) of the Levi-Civita connection is called the Riemann curvature, and its holonomy group Hol( ) the Riemannian holonomy group Hol( g) of g. In 1955, Marcel Berger proved that if ( M, g) is a Riemannian manifold with M simply-connected and g irreducible and nonsymmetric, then Hol( g) must be one of SO( n), U( m), SU( m), Sp( m), Sp( m) Sp(1), G 2 or Spin(7). The goal of 3.1– 3.4 is to expla
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Taş, Nihal, and Ozgur Ege. "Caristi-Type Nonunique Fixed-Point Results and Fixed-Circle Problem on bv(s)-Metric Spaces." In Advances in Number Theory and Applied Analysis. WORLD SCIENTIFIC, 2023. http://dx.doi.org/10.1142/9789811272608_0010.

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Conference papers on the topic "Rectangular S 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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Kumar, Anil. "Banach Fixed Point Theorem in Extended bv(s)-Metric Spaces." In International Online Conference on Mathematics and Applications. MDPI, 2023. http://dx.doi.org/10.3390/iocma2023-14736.

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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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Abdulameer KADHIM, Dhuha, Zainab Hasan ABOOD, and Mushtaq K. ABD AL-RAHEM. "ON THE ROUGH CONVERGENCE OF DOUBLE SEQUENCE IN CONE S-METRIC SPACES." In VI.International Scientific Congress of Pure,Applied and Technological Sciences. Rimar Academy, 2022. http://dx.doi.org/10.47832/minarcongress6-10.

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Yadav, Pooja, and Mamta Kamra. "Common fixed point theorems for four transformations in vector S-metric spaces." In FRONTIERS IN INDUSTRIAL AND APPLIED MATHEMATICS: FIAM2022. AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0196129.

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Dine, Jani, та Kastriot Zoto. "Fixed point theorems for (s, p) - ɸ contractive mappings in complete dislocated and b-dislocated metric spaces". У The 5th International Virtual Conference on Advanced Scientific Results. Publishing Society, 2017. http://dx.doi.org/10.18638/scieconf.2017.5.1.398.

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De la Sen, M. "About combined non-expansive and potentially expansive properties of a class of self-maps in metric spaces." In 2011 IEEE MTT-S International Microwave Workshop Series on Innovative Wireless Power Transmission: Technologies, Systems, and Applications (IMWS 2011). IEEE, 2011. http://dx.doi.org/10.1109/imws.2011.6115243.

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Maheswari, J. Uma, M. Ravichandran та A. Anbarasan. "Fixed point theorems of generalized (κ, μ)s− rational contractive mappings in ordered complex valued quasi b− metric spaces with application". У INTERNATIONAL CONFERENCE ON RECENT TRENDS IN APPLIED MATHEMATICAL SCIENCES (ICRTAMS-2020). AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0064248.

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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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