On the S-Menger like Space

Neeraj  Malviya; Pradip Kumar  Keer; Geeta Agrawal

doi:10.59828/pijms.v2i3.43

Authors

Neeraj Malviya Swami Vivekanand Government P.G. College (PMCOE), Raisen, Madhya Pradesh, India Author https://orcid.org/0000-0002-6257-7492
Pradip Kumar Keer Research Scholar, Government Motilal Vigyan Mahavidyalaya (M.V.M.), Bhopal, Madhya Pradesh, India/Chameli Devi Institute of Professional Studies, Indore, Madhya Pradesh, India Author https://orcid.org/0009-0007-3854-7502
Geeta Agrawal Government Motilal Vigyan Mahavidyalaya (M.V.M.), Bhopal, Madhya Pradesh, India Author https://orcid.org/0009-0001-8040-6048

DOI:

https://doi.org/10.59828/pijms.v2i3.43

Keywords:

S-Menger like space, Fixed point, Banach contraction principle.

Abstract

In the present paper, we introduce the notion of S-Menger like space (S-MLS), which is the hybrid structure of metric like space and S-Menger space. We also given examples of (S-MLS). In the last section we prove Banach contraction principle and another unique fixed-point theorem for Menger k contractive map in the setting of S-Menger like Space.