Slightly Generalized $\beta$-Continuous Functions

Authors

  • S. C. Arora Department of Mathematics, Delhi University, Delhi, India
  • Sanjay Tahiliani Department of Mathematics, Delhi University, Delhi, India

DOI:

https://doi.org/10.5644/SJM.09.1.13

Keywords:

Slightly continuous, slightly $g\beta$-continuous, $g\beta$-continuous, $g\beta$-closed set, $G\beta O$-connectedness

Abstract

A new class of functions, called slightly generalized $\beta$-continuous functions is introduced. Basic properties of slightly generalized $\beta$-continuous functions are studied. The class of slightly generalized $\beta$-continuous functions properly includes the class of slightly $\beta$-continuous functions and generalized $\beta$-continuous functions. Also, by using slightly generalized $\beta$-continuous functions, some properties of domain/range of functions are characterized.

 

2010 Mathematics Subject Classification. 54C08

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References

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Published

07.06.2024

How to Cite

Arora, S. C., & Tahiliani, S. (2024). Slightly Generalized $\beta$-Continuous Functions. Sarajevo Journal of Mathematics, 9(1), 143–152. https://doi.org/10.5644/SJM.09.1.13

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