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Journal articles on the topic 'S-metric spaces'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

Beg, I., K. Roy, and M. Saha. "S J S -metric spaces: a survey." Journal of Nonlinear Sciences and Applications 17, no. 01 (2024): 30–69. http://dx.doi.org/10.22436/jnsa.017.01.03.

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2

G.S.Sao, S.N.Gupta, and G.P.Banaj. "CONVERGENCE OF S-METRIC SPACE." GLOBAL JOURNAL OF ENGINEERING SCIENCE AND RESEARCHES 4, no. 9 (2017): 11–13. https://doi.org/10.5281/zenodo.886079.

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3

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> Primary: 54H25; Secondary:54E50, 47H10.

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4

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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5

Meltem Erden; ALACA, EGE. "C*-algebra-valued s-metric spaces." Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics 67, no. 2 (2018): 165–77. http://dx.doi.org/10.1501/commua1_0000000871.

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6

Afra, J. Mojaradi. "Double contraction in S-metric spaces." International Journal of Mathematical Analysis 9 (2015): 117–25. http://dx.doi.org/10.12988/ijma.2015.411345.

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7

Li, Zhaowen. "Onπ-s-images of metric spaces". International Journal of Mathematics and Mathematical Sciences 2005, № 7 (2005): 1101–7. http://dx.doi.org/10.1155/ijmms.2005.1101.

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We establish the characterizations of metric spaces under compact-covering (resp., pseudo-sequence-covering, sequence-covering)π-s-maps by means ofcfp-covers (resp.,sfp-covers,cs-covers) andσ-strong networks.

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8

Karami, Abdollah, Shaban Sedghi, and Vahid Parvaneh. "Sequential Extended S -Metric Spaces and Relevant Fixed Point Results with Application to Nonlinear Integral Equations." Advances in Mathematical Physics 2021 (June 20, 2021): 1–11. http://dx.doi.org/10.1155/2021/9910861.

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In this paper, the notion of sequential ς p -metric spaces has been introduced as a generalization of usual S -metric spaces, S b -metric spaces, S J S metric spaces, and specially of S p -metric spaces. In view of this notion, we prove some fixed point theorems for some classes of ς p -rational Geraghty JS-contractions over such spaces. A supporting example and an application have been given in order to examine the validity of the obtained results.

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9

Al Rwaily, Asma, and A. M. Zidan. "New Contributions in Generalization S -Metric Spaces to S ∗ p -Partial Metric Spaces with Some Results in Common Fixed Point Theorems." Complexity 2021 (May 19, 2021): 1–8. http://dx.doi.org/10.1155/2021/5584685.

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In this paper, we introduce the notion of S ∗ p -partial metric spaces which is a generalization of S-metric spaces and partial-metric spaces. Also, we give some of the topological properties that are important in knowing the convergence of the sequences and Cauchy sequence. Finally, we study a new common fixed point theorems in this spaces.

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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

L.T. Saji, G. Uthaya Sankar, and A. Subramanian. "Fixed point theorems in \(S\)- metric spaces." Malaya Journal of Matematik 8, no. 04 (2020): 2296–98. http://dx.doi.org/10.26637/mjm0804/0168.

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Sedghi et al. [7,8] introduced \(S\)-metric space and established some fixed point theorems for a selfmapping on a complete \(S\)-metric space. In this paper, we prove some fixed point theorems for surjection satisfying various expansive type conditions in the setting of an \(S\)-metric space.

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12

Simkhah, Asil, Shaban Sedghi, and Zoran Mitrovic. "Partial S-metric spaces and coincidence points." Filomat 33, no. 14 (2019): 4613–26. http://dx.doi.org/10.2298/fil1914613s.

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In this paper, the concept partial S-metric space is introduced as a generalization of S-metric space. We prove certain coincidence point theorems in partial S-metric spaces. The results we obtain generalize many known results in fixed point theory. Also, some examples show the e_ectiveness of this approach.

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13

Latifi, Dariush, and Milad Zeinali Laki. "Properties of non-Berwaldian Randers metric of Douglas type on 4-dimensional hypercomplex Lie groups." Acta et Commentationes Universitatis Tartuensis de Mathematica 29, no. 1 (2025): 87–98. https://doi.org/10.12697/acutm.2025.29.06.

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In this paper, we first obtain the non-Berwaldian Randers metrics of Douglas type on 4-dimensional hypercomplex simply connected Lie groups. Then we give the S-curvature formulas for the non-Berwaldian Randers metric of Douglas type on these spaces. We also give some geometric properties and results on these spaces. We show that there is not any non-Berwaldian Randers metric of Douglas type on these Lie groups which have vanishing S-curvature and these spaces are never naturally reductive. Finally, we determine the geodesic vectors of Randers metrics on 4-dimensional hypercomplex simply connec

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14

Kazemi, R., M. R. Miri та G. R. M. Borzadaran. "Топологическая унифицированная (r,s)-энтропия непрерывных отображений в квазиметрических пространствах". Владикавказский математический журнал, № 4 (23 грудня 2021): 56–67. http://dx.doi.org/10.46698/p8176-1984-8872-z.

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The category of metric spaces is a subcategory of quasi-metric spaces. It is shown that the entropy of a map when symmetric properties is included is greater or equal to the entropy in the case that the symmetric property of the space is not considered. The topological entropy and Shannon entropy have similar properties such as nonnegativity, subadditivity and conditioning reduces entropy. In other words, topological entropy is supposed as the extension of classical entropy in dynamical systems. In the recent decade, different extensions of Shannon entropy have been introduced. One of them whi

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15

Došenović, Tatjana, Zoran Kadelburg, Zoran D. Mitrović, and Stojan Radenović. "New fixed point results in bv(s)-metric spaces." Mathematica Slovaca 70, no. 2 (2020): 441–52. http://dx.doi.org/10.1515/ms-2017-0362.

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Abstract Z. D. Mitrović and S. Radenović introduced in [The Banach and Reich contractions in bv(s)-metric spaces, J. Fixed Point Theory Appl. 19 (2017), 3087–3095] a new class of generalized metric spaces and proved some fixed point theorems in this framework. The purpose of this paper is to consider other kinds of contractive mappings in bv(s)-metric spaces, and show how the work in the new settings differs from the one in standard metric and b-metric spaces. Examples show the usefulness of the obtained results.

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16

J., Gayathri, and K. Sathya Dr. "Some New Fixed Point Theorems on S Metric Spaces." International Journal of Trend in Scientific Research and Development 4, no. 3 (2020): 182–86. https://doi.org/10.5281/zenodo.3892481.

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In this paper, we present some new type of contractive mappings and prove new fixed point theorems on S metric Spaces. J. Gayathri | Dr. K. Sathya "Some New Fixed Point Theorems on S-Metric Spaces" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-4 | Issue-3 , April 2020, URL: https://www.ijtsrd.com/papers/ijtsrd30311.pdf Paper Url :https://www.ijtsrd.com/other-scientific-research-area/other/30311/some-new-fixed-point-theorems-on-smetric-spaces/j-gayathri

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17

Garai, Hiranmoy, Lakshmi Kanta Dey, Pratikshan Mondal, and Stojan Radenović. "Some remarks on bv(s)-metric spaces and fixed point results with an application." Nonlinear Analysis: Modelling and Control 25, no. 6 (2020): 1015–34. http://dx.doi.org/10.15388/namc.2020.25.20559.

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We compare the newly defined bv(s)-metric spaces with several other abstract spaces like metric spaces, b-metric spaces and show that some well-known results, which hold in the latter class of spaces, may not hold in bv(s)-metric spaces. Besides, we introduce the notions of sequential compactness and bounded compactness in the framework of bv(s)-metric spaces. Using these notions, we prove some fixed point results involving Nemytzki–Edelstein type mappings in this setting, from which several comparable fixed point results can be deduced. In addition to these, we find some existence and uniquen

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18

Sarkar, Krishna Kanta, Krishnapada Das, and Abhijit Pramanik. "GENERALIZED FIXED POINT RESULT OF BANACH AND KANNAN TYPE IN S-MENGER SPACES." South East Asian J. of Mathematics and Mathematical Sciences 19, no. 01 (2023): 121–34. http://dx.doi.org/10.56827/seajmms.2023.1901.11.

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S-metric space is a relatively new concept in the literature and currently there is much attention being given to the generalization of S-metric spaces and fixed point theory in these spaces. Recently, the concept of S-Menger spaces was introduced in the literature as a generalization of both S-metric spaces and Menger spaces. Combinations of Banach and Kannan type contractions are very much important to find fixed point results and there are very few works on S-metric spaces that includes both of these type contractions. In this paper, we present a fixed point result in S-Menger spaces that i

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19

Raju, V. N. "SOME PROPERTIES OF MULTIPLICATIVE S-METRIC SPACES." Advances in Mathematics: Scientific Journal 10, no. 1 (2020): 105–9. http://dx.doi.org/10.37418/amsj.10.1.10.

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20

null, Xiangeng Zhou, and Li Liu. "s-Sequence-Covering Mappings on Metric Spaces." Journal of Mathematical Study 55, no. 55 (2022): 54–66. http://dx.doi.org/10.4208/jms.v55n1.22.04.

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21

Kim, Jong Kyu, Shaban Sedghi, A. Gholidahneh, and M. Mahdi Rezaee. "FIXED POINT THEOREMS IN S-METRIC SPACES." East Asian mathematical journal 32, no. 5 (2016): 677–84. http://dx.doi.org/10.7858/eamj.2016.047.

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22

Prudhvi, K. "Fixed Point Theorems in S-Metric Spaces." Universal Journal of Computational Mathematics 3, no. 2 (2015): 19–21. http://dx.doi.org/10.13189/ujcmj.2015.030201.

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23

ÖZGÜR, Nihal Yilmaz, and Nihal TAŞ. "The Picard Theorem on S -metric spaces." Acta Mathematica Scientia 38, no. 4 (2018): 1245–58. http://dx.doi.org/10.1016/s0252-9602(18)30811-7.

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24

Das, Abhishikta, and T. Bag. "A Study on Parametric S-metric Spaces." Communications in Mathematics and Applications 13, no. 3 (2022): 921–33. http://dx.doi.org/10.26713/cma.v13i3.1789.

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25

ALKURDI, TALEB, SANDER C. HILLE, and ONNO VAN GAANS. "ON METRIZATION OF UNIONS OF FUNCTION SPACES ON DIFFERENT INTERVALS." Journal of the Australian Mathematical Society 92, no. 3 (2012): 281–97. http://dx.doi.org/10.1017/s1446788712000365.

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AbstractThis paper investigates a class of metrics that can be introduced on the set consisting of the union of continuous functions defined on different intervals with values in a fixed metric space, where the union ranges over a family of intervals. Its definition is motivated by the Skorohod metric(s) on càdlàg functions. We show what is essential in transferring the ideas employed in the latter metric to our setting and obtain a general construction for metrics in our case. Next, we define the metric space where elements are sequences of functions from the above mentioned set. We provide c

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26

Lei, Yiming, Zhongrui Wang, and Bing Dai. "Metric Dimensions of Metric Spaces over Vector Groups." Mathematics 13, no. 3 (2025): 462. https://doi.org/10.3390/math13030462.

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Let (X,ρ) be a metric space. A subset A of X resolves X if every point x∈X is uniquely identified by the distances ρ(x,a) for all a∈A. The metric dimension of (X,ρ) is the minimum integer k for which a set A of cardinality k resolves X. We consider the metric spaces of Cayley graphs of vector groups over Z. It was shown that for any generating set S of Z, the metric dimension of the metric space X=X(Z,S) is, at most, 2maxS. Thus, X=X(Z,S) can be resolved by a finite set. Let n∈N with n≥2. We show that for any finite generating set S of Zn, the metric space X=X(Zn,S) cannot be resolved by a fin

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27

Yang, Songlin, and Xun Ge. "so-metrizable spaces and images of metric spaces." Open Mathematics 19, no. 1 (2021): 1145–52. http://dx.doi.org/10.1515/math-2021-0082.

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Abstract so-metrizable spaces are a class of important generalized metric spaces between metric spaces and s n sn -metrizable spaces where a space is called an so-metrizable space if it has a σ \sigma -locally finite so-network. As the further work that attaches to the celebrated Alexandrov conjecture, it is interesting to characterize so-metrizable spaces by images of metric spaces. This paper gives such characterizations for so-metrizable spaces. More precisely, this paper introduces so-open mappings and uses the “Pomomarev’s method” to prove that a space X X is an so-metrizable space if and

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28

Aras, Gündüz, Sadi Bayramov, and Arzu Coşkun. "Fixed point theorems on parametric soft S-metric spaces." Filomat 38, no. 19 (2024): 6753–62. https://doi.org/10.2298/fil2419753a.

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29

Van, Dung, Hieu Trung, and Slobodan Radojevic. "Fixed point theorems for g-monotone maps on partially ordered S-metric spaces." Filomat 28, no. 9 (2014): 1885–98. http://dx.doi.org/10.2298/fil1409885d.

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In this paper, we prove some fixed point theorems for 1-monotone maps on partially ordered S-metric spaces. Our results generalize fixed point theorems in [1] and [7] for maps on metric spaces to the structure of S-metric spaces. Also, we give examples to demonstrate the validity of the results.

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30

Mukheimer, Aiman. "Extended Partial Sb-Metric Spaces." Axioms 7, no. 4 (2018): 87. http://dx.doi.org/10.3390/axioms7040087.

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In this paper, we introduce the concept of extended partial S b -metric spaces, which is a generalization of the extended S b -metric spaces. Basically, in the triangle inequality, we add a control function with some very interesting properties. These new metric spaces generalize many results in the literature. Moreover, we prove some fixed point theorems under some different contractions, and some examples are given to illustrate our results.

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31

Corregidor, Samuel, та Álvaro Martínez-Pérez. "Finite metric and 𝑘-metric bases on ultrametric spaces". Proceedings of the American Mathematical Society 149, № 10 (2021): 4487–99. http://dx.doi.org/10.1090/proc/15552.

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Given a metric space ( X , d ) (X,d) , a set S ⊆ X S\subseteq X is called a k k -metric generator for X X if any pair of different points of X X is distinguished by at least k k elements of S S . A k k -metric basis is a k k -metric generator of the minimum cardinality in X X . We prove that ultrametric spaces do not have finite k k -metric bases for k > 2 k>2 . We also characterize when the metric and 2-metric bases of an ultrametric space are finite and, when they are finite, we characterize them. Finally, we prove that an ultrametric space can be easily recovered knowing only the metr

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32

Zidan, A. M. "S ∗ p ‐ b -Partial Metric Spaces with some Results in Common Fixed Point Theorems." Journal of Function Spaces 2021 (May 15, 2021): 1–9. http://dx.doi.org/10.1155/2021/5586936.

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In this paper, we introduce the notion of S ∗ P ‐ b -partial metric spaces which is a generalization each of S ‐ b -metric spaces and partial-metric space. Also, we study and prove some topological properties, to know the convergence of the sequences and Cauchy sequence. Finally, we study a new common fixed point theorem in these spaces.

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33

Schellekens, M. P. "Extendible spaces." Applied General Topology 3, no. 2 (2002): 169. http://dx.doi.org/10.4995/agt.2002.2061.

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<p>The domain theoretic notion of lifting allows one to extend a partial order in a trivial way by a minimum. In the context of Quantitative Domain Theory partial orders are represented as quasi-metric spaces. For such spaces, the notion of the extension by an extremal element turns out to be non trivial.</p><p>To some extent motivated by these considerations, we characterize the directed quasi-metric spaces extendible by an extremum. The class is shown to include the S-completable directef quasi-metric spaces. As an application of this result, we show that for the case of th

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34

Rao, V. Sambasiva, and Uma Dixit. "A Fixed Point Result with (CLR) Property in S-Metric Spaces." Indian Journal Of Science And Technology 15, no. 37 (2022): 1842–49. http://dx.doi.org/10.17485/ijst/v15i37.1053.

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35

Shahraki, Maryam, Shaban Sedghi, S. M. A. Aleomraninejad, and Zoran D. Mitrović. "Some fixed point results on S-metric spaces." Acta Universitatis Sapientiae, Mathematica 12, no. 2 (2020): 347–57. http://dx.doi.org/10.2478/ausm-2020-0024.

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36

Nantadilok, J. "Best proximity point results in S-metric spaces." International Journal of Mathematical Analysis 10 (2016): 1333–46. http://dx.doi.org/10.12988/ijma.2016.610112.

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37

OZGUR, Nihal, and Nihal TAS. "On $S$-metric spaces with some topological aspects." Electronic Journal of Mathematical Analysis and Applications 11, no. 2 (2023): 1–8. http://dx.doi.org/10.21608/ejmaa.2023.206319.1029.

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38

Mondal, Pratikshan, Hiranmoy Garai, and Lakshmi Kanta Dey. "On contractive mappings in bv(s)-metric spaces." Fixed Point Theory 23, no. 2 (2022): 573–90. http://dx.doi.org/10.24193/fpt-ro.2022.2.10.

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39

Babaei, Reza, Hamidreza Rahimi, Manuel De la Sen, and Ghasem Soleimani Rad. "w-b-Cone Distance and Its Related Results: A Survey." Symmetry 12, no. 1 (2020): 171. http://dx.doi.org/10.3390/sym12010171.

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In this work, we define the concept of a w-b-cone distance in t v s -cone b-metric spaces which differs from generalized c-distance in cone b-metric spaces, and we discuss its properties. Our results are significant, since all of the results in fixed point theory with respect to a generalized c-distance can be introduced in the version of w-b-cone distance. Moreover, using Minkowski functionals in topological vector spaces, we prove the equivalence between some fixed point results with respect to a w t -distance in general b-metric spaces and a w-b-cone distance in t v s -cone b-metric spaces.

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40

Zhou, Mi, Xiao-lan Liu, and Nicolae Adrian Secelean. "Fixed Point Theorems for Generalized Kannan-Type Mappings in a New Type of Fuzzy Metric Space." Journal of Mathematics 2020 (May 31, 2020): 1–16. http://dx.doi.org/10.1155/2020/1712486.

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In this paper, first, we introduce a new type of S∗−fuzzy metric space which is a generalization of fuzzy metric spaces. Second, we study the topological properties of S∗−fuzzy metric spaces. Finally, we extend Kannan-type mappings to generalized Kannan-type mappings under ϕ−gauge functions introduced by Fang in S∗−fuzzy metric spaces and prove the existence and uniqueness of fixed point for this kind of mappings. Furthermore, we also obtain the common fixed point theorems for weak compatibility along with E.A. property or CLRg property. Our results extend and improve very recent theorems in t

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41

Azmi, Fatima M., Irshad Ayoob, and Nabil Mlaiki. "Exploring Double Composed Partial Metric Spaces: A Novel Approach to Fixed Point Theorems." International Journal of Analysis and Applications 22 (October 22, 2024): 192. http://dx.doi.org/10.28924/2291-8639-22-2024-192.

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This paper innovatively extends partial metric spaces to introduce double composed partial metric space (DCPMS). Unlike traditional metrics, DCPMS replaces the triangle inequality with a nuanced form, integrating control functions into the metric. Building upon Ayoob et al.’s work, this novel generalization focuses on establishing fixed point theorems for DCPMS, contributing to the evolving landscape of mathematical analysis in this unique domain.

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42

Roy, Kushal, Hossein Alaeidizaji, Mantu Saha, Babak Mohammadi, and Vahid Parvaneh. "Some Fixed-Point Theorems over a Generalized F -Metric Space." Advances in Mathematical Physics 2021 (May 5, 2021): 1–7. http://dx.doi.org/10.1155/2021/5570653.

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In this article, the concept of sequential F -metric spaces has been introduced as a generalization of usual metric spaces, b -metric spaces, J S -metric spaces, and mainly F -metric spaces. Some topological properties of such spaces have been discussed here. By considering this notion, we prove fixed-point theorems for some classes of contractive mappings over such spaces. Examples have been given in order to examine the validity of the underlying space and in support of our fixed-point theorems. Moreover, our fixed-point theorem is applied to obtain solution of a system of linear algebraic e

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43

Babu, Gutti, та Leta Kumssa. "Fixed points of (α,ψ,φ)-generalized weakly contractive maps and property(P) in S-metric spaces". Filomat 31, № 14 (2017): 4469–81. http://dx.doi.org/10.2298/fil1714469b.

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In this paper, we introduce a notion of (?,?,?)-generalized weakly contractive maps in S-metric spaces and prove the existence of fixed points for such maps. We also prove that these maps satisfy property(P). The results presented in this paper extend the results of Khandaqji, Al-Sharif and Al-Khaleel [15] from G-metric spaces to S-metric spaces. We provide examples in support of our results.

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44

Rohen, Yumnam, Tatjana Dosenovic, and Stojan Radenovic. "A note on the paper "A fixed point theorems in Sb-metric spaces"." Filomat 31, no. 11 (2017): 3335–46. http://dx.doi.org/10.2298/fil1711335r.

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Very recently, N. Souayan and N. Mlaiki [Nazir Souayan and Nabil Mlaiki, A fixed point theorem in Sb-metric spaces, J. Math. Comput. Sci. 16 (2016), 131-139] and S. Sedghi et al. [S. Sedghi, A. Gholidahneb, T. Dosenovic, J. Esfahani, S. Radenovic, Common fixed point of four maps in Sb-metric spaces, to appear in J. Linear Topol. Algebra], introduced the concept of Sb-metric space as a generalization of S-metric space. In this paper, we modified the definition of Sb-metric introduced by Souayan and Mlaiki and prove some coupled common fixed point theorems in Sb-metric space. We also present an

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45

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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46

Saluja, G. S., Hemant Kumar Nashine, Reena Jain, Rabha W. Ibrahim, and Hossam A. Nabwey. "Common Fixed Point Theorems on S-Metric Spaces for Integral Type Contractions Involving Rational Terms and Application to Fractional Integral Equation." Journal of Function Spaces 2024 (May 3, 2024): 1–12. http://dx.doi.org/10.1155/2024/5108481.

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It has been shown that the findings of d-metric spaces may be deduced from S-metric spaces by considering dϖ,ϰ=Λϖ,ϖ,ϰ. In this study, no such concepts that translate to the outcomes of metric spaces are considered. We establish standard fixed point theorems for integral type contractions involving rational terms in the context of complete S-metric spaces and discuss their implications. We also provide examples to illustrate the work. This paper’s findings generalize and expand a number of previously published conclusions. In addition, the abstract conclusions are supported by an application of

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47

Yang, Dachun. "Some Function Spaces Relative to Morrey-Campanato Spaces on Metric Spaces." Nagoya Mathematical Journal 177 (2005): 1–29. http://dx.doi.org/10.1017/s002776300000903x.

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In this paper, the author introduces the Morrey-Campanato spaces Lsp(X) and the spaces Cps(X) on spaces of homogeneous type including metric spaces and some fractals, and establishes some embedding theorems between these spaces under some restrictions and the Besov spaces and the Triebel-Lizorkin spaces. In particular, the author proves that Lsp(X) = Bs∞,∞(X) if 0 < s < ∞ and µ(X) < ∞. The author also introduces some new function spaces Asp(X) and Bsp(X) and proves that these new spaces when 0 < s < 1 and 1 < p < ∞ are just the Triebel-Lizorkin space Fsp,∞(X) if X is a met

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48

Devi, Sarita, Manoj Kumar, and Sushma Devi. "Some Fixed Point Theorems in S-metric Spaces via Simulation Function." Asian Research Journal of Mathematics 19, no. 9 (2023): 13–24. http://dx.doi.org/10.9734/arjom/2023/v19i9695.

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We introduce the concept of generalized \(\beta\) - \(\gamma\) - Z contraction mapping with respect to a simulation function ξ and study the existence of fixed points for such mappings in complete -metric spaces. Further, we extend it to partially ordered complete -metric spaces.

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Jeyaraman, M., and S. Sowndrarajan. "Suzuki-Type of Common Fixed Point Theorems in S-Fuzzy Metric Spaces." European Journal of Mathematics and Statistics 2, no. 3 (2021): 86–91. http://dx.doi.org/10.24018/ejmath.2021.2.3.26.

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In this paper, by using of Suzuki-type approach [Suzuki, T., A generalized Banach contraction principle that characterizes metric completeness, Proc. Amer. Math. Soc., 136, 1861–1869, 2008.] we prove new type of Suzuki- type fixed point theorem for non-Archimedean S - fuzzy metric spaces which is generalization of Suzuki-Type fixed point results in S - metric spaces.

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50

Zhou, Mi, Xiao-lan Liu, and Stojan Radenovic. "S-gamma-phi-varphi-contractive type mappings in S-metric spaces." Journal of Nonlinear Sciences and Applications 10, no. 04 (2017): 1613–39. http://dx.doi.org/10.22436/jnsa.010.04.27.

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