On Pseudo 𝑆𝑏−Menger Space and Rational Type 
Contraction in 𝑆𝑏−Menger Space with Applications

Pradip Kumar Keer; Neeraj Malviya; Geeta Agrawal

doi:https://doi.org/10.14445/22315373/IJMTT-V71I12P101

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 71 | Issue 12 | Year 2025 | Article Id. IJMTT-V71I12P101 | DOI : https://doi.org/10.14445/22315373/IJMTT-V71I12P101

On Pseudo 𝑆_𝑏−Menger Space and Rational Type Contraction in 𝑆_𝑏−Menger Space with Applications

Pradip Kumar Keer, Neeraj Malviya, Geeta Agrawal

Received	Revised	Accepted	Published
02 Oct 2025	06 Nov 2025	28 Nov 2025	15 Dec 2025

Citation :

Pradip Kumar Keer, Neeraj Malviya, Geeta Agrawal, "On Pseudo 𝑆_𝑏−Menger Space and Rational Type Contraction in 𝑆_𝑏−Menger Space with Applications," International Journal of Mathematics Trends and Technology (IJMTT), vol. 71, no. 12, pp. 1-7, 2025. Crossref, https://doi.org/10.14445/22315373/IJMTT-V71I12P101

Abstract

In the present paper, we define a pseudo 𝑆_𝑏 −Menger space with counterexamples and prove a decomposition theorem for a pseudo 𝑆_𝑏 −Menger space. Also, we prove fixed-point theorems for rational-type contraction in a newly defined 𝑆_𝑏−Menger space. Our results extend the results of Gupta V et al [8] in 𝑆𝑏 −Menger spaces. Applications are also given to prove the effectiveness of our results.

Keywords

𝑆_𝑏 −Menger Space, Rational Expression, Integral Type Contraction, Control Function.

References

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