In this paper we discuss the topological properties of quasi-partial *b*-metric spaces. The notion of quasi-partial *b*-metric space was introduced and fixed point theorem and coupled fixed point theorem on this space were studied. Here the concept of quasi-partial *b*-metric topology is discussed and notion of product of quasi-partial *b*-metric spaces is also introduced.

Periodical:

International Journal of Pure Mathematical Sciences (Volume 17)

Pages:

8-18

Citation:

A. Gupta and P. Gautam, "Topological Structure of Quasi-Partial *b*-Metric Spaces", International Journal of Pure Mathematical Sciences, Vol. 17, pp. 8-18, 2016

Online since:

October 2016

Authors:

Keywords:

Distribution:

Open Access

This work is licensed under a

Creative Commons Attribution 4.0 International License

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Cited By:

[1] V. Mishra, L. Sánchez Ruiz, P. Gautam, S. Verma, "Interpolative Reich–Rus–Ćirić and Hardy–Rogers Contraction on Quasi-Partial b-Metric Space and Related Fixed Point Results", Mathematics, Vol. 8, p. 1598, 2020

DOI: https://doi.org/10.3390/math8091598[2] L. Mishra, V. Mishra, P. Gautam, K. Negi, "Fixed point theorems for Cyclic-Ćirić-Reich-Rus contraction mapping in quasi-partial b-metric spaces", Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics, Vol. 12, p. 47, 2020

DOI: https://doi.org/10.5937/SPSUNP2001047M[3] P. Gautam, L. Sánchez Ruiz, S. Verma, G. Gupta, H. Isik, "Common Fixed Point Results on Generalized Weak Compatible Mapping in Quasi-Partial b-Metric Space", Journal of Mathematics, Vol. 2021, p. 1, 2021

DOI: https://doi.org/10.1155/2021/5526801[4] P. Gautam, S. Kumar, S. Verma, G. Gupta, G. Di Fratta, "Nonunique Fixed Point Results via Kannan F -Contraction on Quasi-Partial b -Metric Space", Journal of Function Spaces, Vol. 2021, p. 1, 2021

DOI: https://doi.org/10.1155/2021/2163108