A Study on Parametric S-metric Spaces

Authors

DOI:

https://doi.org/10.26713/cma.v13i3.1789

Keywords:

Parametric S-metric, Parametric S-metric topology, Totally bounded set

Abstract

In this paper, some topological properties are discussed and some results on completeness, totally boundedness, compactness on parametric S-metric spaces are developed.

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References

S. Banach, Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales, Fundamenta Mathematicae 3 (1922), 133 – 181, URL: https://eudml.org/doc/213289.

S. Czerwik, Contraction mappings in b-metric spaces, Acta Mathematica et Informatica Universitatis Ostraviensis 1 (1993), 5 – 11, URL: https://dml.cz/bitstream/handle/10338.dmlcz/120469/ActaOstrav_01-1993-1_2.pdf.

R. D. Daheriya, S. Shrivastava and M. Ughade, Parametric metric space, parametric b-metric space and expansive type mapping, International Journal of Mathematics and its Applications 4 (2016), 107 – 117, URL: http://ijmaa.in/index.php/ijmaa/article/view/603.

A. Das and T. Bag, Some fixed point theorems in extended cone b-metric spaces, Communications in Mathematics and Applications 13 (2) (2022), 647 – 659, DOI: 10.26713/cma.v13i2.1768.

O. Ege and M. De la Sen, A new perspective on parametric metric spaces, Mathematics 7 (2019), 1008, DOI: 10.3390/math7111008.

M. Frechet, Sur quelques points du calcul fonctionnel, Rendiconti del Circolo Matematico di Palermo 22 (1906), 1 – 74, DOI: 10.1007/BF03018603.

N. Hussain, S. Khaleghizadeh, P. Salimi and A. A. N. Abdou, A new approach to fixed point results in triangular intuitionistic fuzzy metric spaces, Abstract and Applied Analysis 2014 (2014), Article ID 690139, 16 pages, DOI: 10.1155/2014/690139.

S. Khalehoghli, H. Rahimi and M. E. Gordji, Fixed point theorems in R-metric spaces with applications, AIMS Mathematics 5 (2020), 3125 – 3137, DOI: 10.3934/math.2020201.

W. Kirk and N. Shahzad, FIxed Point Theory in Distance Spaces, first edition, Springer Cham, xi + 173, (2014), DOI: 10.1007/978-3-319-10927-5.

N. Priyobarta, Y. Rohen and S. Radenovic, Fixed point theorems on parametric A-metric space, American Journal of Applied Mathematics and Statistics 6 (2018), 1 – 5, http://article.sciappliedmathematics.com/pdf/AJAMS-6-1-1.pdf.

S. Sedghi, N. Shobe and A. Aliouche, A generalization of fixed point theorems in S-metric space, Matematiˇcki Vesnik 64 (2012), 258 – 266, https://www.emis.de/journals/MV/123/mv12309.pdf.

R. Sharma and A. K. Garg, Fixed point theorems in parametric metric space for contraction mappings, Advances in Mathematics: Scientific Journal 9 (2020), 5401 – 5407, DOI: 10.37418/amsj.9.8.11.

N. Ta¸s and N. Y. Özgür, On parametric s-metric spaces and fixed-point type theorems for expansive mappings, Journal of Mathematics 2016 (2016), Article ID 4746732, 6 pages, DOI: 10.1155/2016/4746732.

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Published

November 29, 2022

Issue

Section

Research Article

How to Cite

Das, A., & Bag, T. (2022). A Study on Parametric S-metric Spaces. Communications in Mathematics and Applications, 13(3), 921-933. https://doi.org/10.26713/cma.v13i3.1789