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Journal articles on the topic 'B-rectangular metric space'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

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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2

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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3

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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4

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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5

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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6

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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7

A.S., Saluja, and Yadav Asmita. "On Fixed Points in B-Rectangular Metric Spaces." International Journal of Mathematics and Computer Research 13, no. 05 (2025): 5187–89. https://doi.org/10.5281/zenodo.15432218.

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This paper presents fixed point results in b-rectangular metric spaces. The results obtained expand and generalize several well-established finding in the existing literature.  <strong>2020 Mathematics Subject Classification</strong>: Primary: 54H25; Secondary: 54E50, 47H10.

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8

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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9

Zheng, Dingwei, Guofei Ye, and Dawei Liu. "Sehgal–Guseman-Type Fixed Point Theorem in b-Rectangular Metric Spaces." Mathematics 9, no. 24 (2021): 3149. http://dx.doi.org/10.3390/math9243149.

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In this paper, we prove a Sehgal–Guseman-type fixed point theorem in b-rectangular metric spaces which provides a complete solution to an open problem raised by Zoran D. Mitrović (A note on a Banach’s fixed point theorem in b-rectangular metric space and b-metric space). The result presented in the paper generalizes and unifies some results in fixed point theory.

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10

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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11

George, R., S. Radenović, K. P. Reshma, and S. Shukla. "Rectangular b-metric space and contraction principles." Journal of Nonlinear Sciences and Applications 08, no. 06 (2015): 1005–13. http://dx.doi.org/10.22436/jnsa.008.06.11.

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12

Ghasab, Ehsan Lotfali, Reza Chaharpashlou, and António M. Lopes. "Solving a System of Integral Equations in Rectangular Menger Probabilistic Metric Spaces and Rectangular Menger Probabilistic b-Metric Spaces." Symmetry 15, no. 1 (2022): 70. http://dx.doi.org/10.3390/sym15010070.

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This work introduces the concepts of rectangular Menger probabilistic metric (RMPM) space and rectangular Menger probabilistic b-metric (RMPbM) space as generalizations of the Menger probabilistic metric space and the Menger probabilistic b-metric space, respectively. Some nonunique fixed-point and coupled-fixed-point results for contractive mappings are provided. The findings extend and improve outcomes presented in the existing literature. The main results are illustrated with examples, and validated by means of an application to a system of integral equations. The importance of spaces with

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13

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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14

Ishtiaq, Umar, Naeem Saleem, Muhammad Farhan, Maggie Aphne, and Mohammad Showkat Rahim Chowdhury. "Fixed Point Theorems in Controlled Rectangular Modular Metric Spaceswith Solution of Fractional Differential Equations." European Journal of Pure and Applied Mathematics 18, no. 1 (2025): 5794. https://doi.org/10.29020/nybg.ejpam.v18i1.5794.

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In this paper, we establish the notion of controlled rectangular modular metric space as a generalization of modular $b-$metric space and rectangular $b-$metric space. We used contraction mappings to find the existence and uniqueness of a fixed point in the framework of controlled rectangular modular metric space. We give several non-trivial examples and show the validity of contraction mappings via graphs. At the end, we utilize our main result to solve a non-linear fractional differential equation.

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15

Mitrović, Zoran D. "A note on a Banach’s fixed point theorem in b-rectangular metric space and b-metric space." Mathematica Slovaca 68, no. 5 (2018): 1113–16. http://dx.doi.org/10.1515/ms-2017-0172.

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Abstract In this note we give very short proofs for Banach contraction principle theorem in the b-rectangular metric spaces and b-metric spaces. Our result provides a complete solution to an open problem raised by George, Radenović, Reshma and Shukla.

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16

Patil, Jayshree, Basel Hardan, Ahmed A. Hamoud, Amol Bachhav, Homan Emadifar, and Hatira Günerhan. "Generalization Contractive Mappings on Rectangular b -Metric Space." Advances in Mathematical Physics 2022 (May 14, 2022): 1–10. http://dx.doi.org/10.1155/2022/7291001.

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In this paper, we introduce new coincidence fixed point theorems for generalized ϕ , ψ -contractive mappings fulfilling kind of an admissibility provision in a Hausdorff b -rectangular metric space with the support of C-functions. We applied our results to establish the existence of a solution for some integralitions. Finally, an example is presented to clarify our theorem.

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17

Asim, Mohammad, and Rachna Rathee. "FIXED POINT RESULTS IN ORDERED EXTENDED RECTANGULAR b- METRIC SPACE WITH GERAGHTY-WEAK CONTRACTION." jnanabha 53, no. 02 (2023): 95–105. http://dx.doi.org/10.58250/jnanabha.2023.53212.

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In this paper, we prove some ordered-theoretic fixed point results for a Geraghty-weak contraction on an ordered extended rectangular b􀀀metric spaces. Our results generalize several core results of the existing literature especially involving Geraghty-weak contractions and the results proved in extended rectangular b-metric space. Some examples are also furnished to exhibits the utility of our main results.

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18

Singh, P., and V. Singh. "FIXED POINT THEOREMS IN A WEIGHTED RECTANGULAR b-METRIC SPACE." Advances in Mathematics: Scientific Journal 10, no. 4 (2021): 2157–65. http://dx.doi.org/10.37418/amsj.10.4.30.

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In this paper, we provide a generalization of a rectangular b-metric space by relaxing the rectangular inequality to include unequal weights. We provide examples and restrictions for the Lipschitz constant enabling convergence of some sequences in the proof of some fixed point theorems.

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19

Secelean, Nicolae Adrian, Dariusz Wardowski та Mi Zhou. "The Sehgal’s Fixed Point Result in the Framework of ρ-Space". Mathematics 10, № 3 (2022): 459. http://dx.doi.org/10.3390/math10030459.

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In this paper, we prove a fixed point theorem of Sehgal type (see Sehgal, V.M., Proc Amer Math Soc 23: 631–634, 1969) in a more general setting of ρ-space (see Secelean, N.A. and Wardowski, D., Results Math, 72: 919–935, 2017). In this way, we can find, as particular cases, some results of Sehgal type in metric, b-metric and rectangular b-metric spaces.

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20

Mitrović, Zoran D. "On an open problem in rectangular b-metric space." Journal of Analysis 25, no. 1 (2017): 135–37. http://dx.doi.org/10.1007/s41478-017-0036-7.

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21

Baradol, Pravin, Jelena Vujaković, Dhananjay Gopal, and Stojan Radenović. "On Some New Results in Graphical Rectangular b-Metric Spaces." Mathematics 8, no. 4 (2020): 488. http://dx.doi.org/10.3390/math8040488.

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In this paper, we provide an approach to establish the Banach contraction principle ( for the case λ ∈ [ 0 , 1 ) ) , Edelstein, Reich, and Meir–Keeler type contractions in the context of graphical rectangular b-metric space. The obtained results not only enrich and improve recent fixed point theorems of this new metric spaces but also provide positive answers to the questions raised by Mudasir Younis et al. (J. Fixed Point Theory Appl., doi:10.1007/s11784-019-0673-3, 2019).

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22

Pooja, Chaubey* &. Shishir Jain. "A REVIEW ON ABSTRACT SPACES AND FIXED POINT THEOREM." GLOBAL JOURNAL OF ENGINEERING SCIENCE AND RESEARCHES [FRTSSDS-18] (June 13, 2018): 65–68. https://doi.org/10.5281/zenodo.1288428.

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We discuss a brief introduction of cone metric space where the set of real number is replaced by real Banach space , partial rectangular metric space, partial--metric space etc. In each of these space several changes have been made or added in the properties of metric space which generalized the famous Banach contration principle.

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23

Patil, Jayshree, Basel Hardan, Ahmed A. Hamoud, Amol Bachhav, Homan Emadifar, and Hatira Günerhan. "Corrigendum to “Generalization Contractive Mappings on Rectangular b-Metric Space”." Advances in Mathematical Physics 2022 (October 14, 2022): 1. http://dx.doi.org/10.1155/2022/9761017.

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24

Kari, Abdelkarim, Mohamed Rossafi, El Miloudi Marhrani та Mohamed Aamri. "New Fixed Point Theorems for θ ‐ ϕ -Contraction on Rectangular b -Metric Spaces". Abstract and Applied Analysis 2020 (16 жовтня 2020): 1–12. http://dx.doi.org/10.1155/2020/8833214.

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The Banach contraction principle is the most celebrated fixed point theorem and has been generalized in various directions. In this paper, inspired by the concept of θ ‐ ϕ -contraction in metric spaces, introduced by Zheng et al., we present the notion of θ ‐ ϕ -contraction in b -rectangular metric spaces and study the existence and uniqueness of a fixed point for the mappings in this space. Our results improve many existing results.

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25

Hammad, Hasanen A., Hassen Aydi, and Yaé Ulrich Gaba. "Exciting Fixed Point Results on a Novel Space with Supportive Applications." Journal of Function Spaces 2021 (January 27, 2021): 1–12. http://dx.doi.org/10.1155/2021/6613774.

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The goal of this paper is to present a new space, a complex valued controlled rectangular b -metric space (for short, υ ℂ -metric space). Some examples and topological properties of υ ℂ -metric spaces are given. Also, some related common fixed point results are discussed. Our results generalize a lot of works in this direction. Moreover, we apply the theoretical results to find a unique solution of a complex valued Atangana-Baleanu fractional integral operator and a system of complex linear equations. Finally, a numerical example to find the current that passes through the RLC circuit is illus

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26

Rana, K., and A. Kumar Garg. "KANNAN-TYPE FIXED POINT RESULTS IN EXTENDED RECTANGULAR B-METRIC SPACE." Advances in Mathematics: Scientific Journal 9, no. 8 (2020): 5491–99. http://dx.doi.org/10.37418/amsj.9.8.19.

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27

Horvat-Marc, Andrei, Mariana Cufoian, Adriana Mitre, and Ioana Taşcu. "Fixed Point Theorems in Rectangular b-Metric Space Endowed with a Partial Order." Axioms 12, no. 11 (2023): 1050. http://dx.doi.org/10.3390/axioms12111050.

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The purpose of this paper is to present some fixed-point results for self-generalized contractions in ordered rectangular b-metric spaces. We also provide some examples that illustrate the non-triviality and richness of this area of research.

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28

Sunarsini, Aufa Biahdillah, and Sentot Didik Surjanto. "Application of Banach Contraction Principle in Complex Valued Rectangular b-Metric Space." Journal of Physics: Conference Series 1490 (March 2020): 012003. http://dx.doi.org/10.1088/1742-6596/1490/1/012003.

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29

Badshah-e-Rome, Badshah-e.-Rome, Muhammad Sarwar та Rosana Rodríguez-López. "Fixed Point Results via α-Admissibility in Extended Fuzzy Rectangular b-Metric Spaces with Applications to Integral Equations". Mathematics 9, № 16 (2021): 2009. http://dx.doi.org/10.3390/math9162009.

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In this article, the concept of extended fuzzy rectangular b-metric space (EFRbMS, for short) is initiated, and some fixed point results frequently used in the literature are generalized via α-admissibility in the setting of EFRbMS. For the illustration of the work presented, some supporting examples and an application to the existence of solutions for a class of integral equations are also discussed.

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30

Gautam, Pragati, та Swapnil Verma. "On ψg-interpolative Hardy-Rogers type contractions over rectangular quasi-partial b-metric space with an application". Filomat 38, № 22 (2024): 7847–58. https://doi.org/10.2298/fil2422847g.

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In the present study, the concept of a new type of contraction namely ?g-interpolative Hardy-Rogers contraction is introduced which is a unification of g-interpolation and Hardy-Rogers contraction. By utilizing this concept, unique results of the existence of fixed points in the extent of rectangular quasi-partial b-metric space are proved. The validity of the obtained results is verified with the help of comparative examples with vivid representations. The existence of a solution to the Fredholm integral equation is also provided here via a fixed point for such mappings.

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31

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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32

Ding, Hui-Sheng, Mohammad Imdad, Stojan Radenović, and Jelena Vujaković. "On some fixed point results in b-metric, rectangular and b-rectangular metric spaces." Arab Journal of Mathematical Sciences 22, no. 2 (2016): 151–64. http://dx.doi.org/10.1016/j.ajmsc.2015.05.003.

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33

Dung, Nguyen Van. "The metrization of rectangular b-metric spaces." Topology and its Applications 261 (July 2019): 22–28. http://dx.doi.org/10.1016/j.topol.2019.04.010.

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34

Li, Chaobo, Yunan Cui, and Lili Chen. "Fixed Point Results on Closed Ball in Convex Rectangular b − Metric Spaces and Applications." Journal of Function Spaces 2022 (April 28, 2022): 1–13. http://dx.doi.org/10.1155/2022/8840964.

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In this paper, the concept of convex rectangular b − metric spaces is introduced as a generalization of both convex metric spaces and rectangular b − metric spaces. The purpose of this study is to indicate a way of generalizing Mann’s iteration algorithm and a series of fixed point results in rectangular b − metric spaces. Furthermore, certain examples are given to support the results. We also study well posedness of fixed point problems of some mappings in convex rectangular b − metric spaces, and an application to the dynamic programming is entrusted to manifest the viability of the obtained

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35

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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36

Kattan, Doha, Amjad Owaidh Alzanbaqi, and Sahidul Islam. "Contraction Mappings in Intuitionistic Fuzzy Rectangular Extended B-Metric Spaces." Mathematical Problems in Engineering 2022 (April 23, 2022): 1–21. http://dx.doi.org/10.1155/2022/1814291.

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In this study, we present the notion of intuitionistic fuzzy rectangular extended b-metric spaces as a generalization of intuitionistic fuzzy metric spaces and intuitionistic fuzzy rectangular b-metric spaces. Some well-known fixed-point results in metric fixed-point theory are generalized in the sense of intuitionistic fuzzy rectangular extended b-metric spaces. Several nontrivial examples and an application to nonlinear fractional differential equations are also imparted in this work to examine the validity of given results.

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37

Mustafa, Zead, Vahid Parvaneh, Mohammed M. M. Jaradat, and Zoran Kadelburg. "Extended Rectangular b-Metric Spaces and Some Fixed Point Theorems for Contractive Mappings." Symmetry 11, no. 4 (2019): 594. http://dx.doi.org/10.3390/sym11040594.

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In this paper, we introduce the class of extended rectangular b-metric spaces as a generalization of both rectangular metric and rectangular b-metric spaces. In addition, some fixed point results connected with certain contractions are obtained and examples are given to illustrate these results.

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38

Mlaiki, Nabil, Mohamed Hajji, and Thabet Abdeljawad. "A New Extension of the Rectangular b-Metric Spaces." Advances in Mathematical Physics 2020 (June 1, 2020): 1–7. http://dx.doi.org/10.1155/2020/8319584.

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In this paper, we introduce a generalization of rectangular b-metric spaces, by changing the rectangular inequality as follows: Dζa,b≤ζa,b,u,vDζa,u+Dζu,v+Dζv,b, for all distinct a,b,u,v∈X. We prove some fixed point theorems, and we use our results to present a nice application in the last section of this paper.

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39

Zheng, Dingwei, Pei Wang, and Nada Citakovic. "Meir-Keeler theorem in b-rectangular metric spaces." Journal of Nonlinear Sciences and Applications 10, no. 04 (2017): 1786–90. http://dx.doi.org/10.22436/jnsa.010.04.39.

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40

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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41

Saleem, Naeem, Salman Furqan, and Fahd Jarad. "On Extended b -Rectangular and Controlled Rectangular Fuzzy Metric-Like Spaces with Application." Journal of Function Spaces 2022 (July 18, 2022): 1–14. http://dx.doi.org/10.1155/2022/5614158.

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In this article, we introduce the notions of extended b -rectangular and controlled rectangular fuzzy metric-like spaces that generalize many fuzzy metric spaces in the literature. We give examples to justify our newly defined fuzzy metric-like spaces and prove that these spaces are not Hausdorff. We use fuzzy contraction and prove Banach fixed point theorems in these spaces. As an application, we utilize our main results to solve the uniqueness of the solution of a differential equation occurring in the dynamic market equilibrium.

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42

Kadelburg, Zoran, and Stojan Radenović. "Pata-type common fixed point results in b-metric and b-rectangular metric spaces." Journal of Nonlinear Sciences and Applications 08, no. 06 (2015): 944–54. http://dx.doi.org/10.22436/jnsa.008.06.05.

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43

Roshan, Jamal Rezaei, Vahid Parvaneh, Zoran Kadelburg, and Nawab Hussain. "New fixed point results in b-rectangular metric spaces." Nonlinear Analysis: Modelling and Control 21, no. 5 (2016): 614–34. http://dx.doi.org/10.15388/na.2016.5.4.

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44

Mehmood, Faisar, Rashid Ali, and Nawab Hussain. "Contractions in fuzzy rectangular b-metric spaces with application." Journal of Intelligent & Fuzzy Systems 37, no. 1 (2019): 1275–85. http://dx.doi.org/10.3233/jifs-182719.

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45

A., Mary Priya Dharsini, Leema Maria Prakasam A., and Jennie Sebasty Pritha A. "Fixed point theorem in multiplicative rectangular $b$ metric spaces." Malaya Journal of Matematik S, no. 1 (2020): 348–50. http://dx.doi.org/10.26637/mjm0s20/0064.

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Asim, Nisar, Morsy, and Imdad. "Extended Rectangular Mrc-Metric Spaces and Fixed Point Results." Mathematics 7, no. 12 (2019): 1136. http://dx.doi.org/10.3390/math7121136.

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Abstract:

In this paper, we enlarge the classes of rectangular Mb-metric spaces and extendedrectangular b-metric spaces by considering the class of extended rectangular Mrc-metric spacesand utilize the same to prove an analogue of Banach contraction principle in such spaces. We adoptan example to highlight the utility of our main result. Finally, we apply our result to examine theexistence and uniqueness of solution for a system of Fredholm integral equation.

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Aydi, Hassen, Zoran D. Mitrović, Stojan Radenović, and Manuel de la Sen. "On a Common Jungck Type Fixed Point Result in Extended Rectangular b-Metric Spaces." Axioms 9, no. 1 (2019): 4. http://dx.doi.org/10.3390/axioms9010004.

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In this paper, we present a Jungck type common fixed point result in extended rectangular b-metric spaces. We also give some examples and a known common fixed point theorem in extended b-metric spaces.

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George, Reny, Abdelkader Belhenniche, Sfya Benahmed, Zoran D. Mitrović, Nabil Mlaiki, and Liliana Guran. "On An Open Question in Controlled Rectangular b-Metric Spaces." Mathematics 8, no. 12 (2020): 2239. http://dx.doi.org/10.3390/math8122239.

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In this paper, we give an affirmative answer to an open question posed recently by Mlaiki et al. As a consequence of our results, we get some known results in the literature. We also give an application of our results to the existence of a solution of nonlinear fractional differential equations.

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Rakesh Tiwari and Rajesh Patel Rajesh Patel. "Common Fixed Point Theorems in Extended Rectangular b-Metric Spaces." International Journal of Applied Mathematical Research 13, no. 2 (2024): 74–82. http://dx.doi.org/10.14419/g24n7471.

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In this paper, we establish common fixed point theorems for quadruple weakly compatible mappings satisfying a new generalized contraction condition. Our results generalize the corresponding result of Budi Nurwahyu et al. [6]. Non-trivial examples are further provided to support the hypotheses of our results.

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Mitrovic, Zoran D., Reny George, and Nawab Hussain. "Some remarks on contraction mappings in rectangular b-metric spaces." Boletim da Sociedade Paranaense de Matemática 39, no. 6 (2021): 147–55. http://dx.doi.org/10.5269/bspm.41754.

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In this paper, we give a short proof for Reich contraction in rectangular b-metric spaces with increased range of the Lipschtzian constants and illustrate this with a suitable example. Our results generalize, improve and complement several ones in the existing literature.

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