Weakly $(\pi_\mathcal{H},\lambda)$-continuity in Generalized Topologies


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Authors

  • R. Mariappan Department of Science and Humanities, Dr.Mahalingam College of Engineering and Technology, Pollachi, Tamil Nadu, India
  • M. Murugalingam Department of Mathematics, Thiruvalluvar College, Papanasam, Tamil Nadu, India
  • R. Ramesh Department of Science and Humanities, Dr.Mahalingam College of Engineering and Technology, Pollachi, Tamil Nadu, India

Keywords:

Generalized topology, hereditary class, weakly $\pi$-$\mathcal{H}$-open, weakly $(\pi_\mathcal{H})$-continuity

Abstract

In this paper, we introduce and study the notions of weakly $\pi$-$\mathcal{H}$-open sets and weakly $(\pi_\mathcal{H})$-continuity in hereditary generalized topological spaces. Also we prove that a function $f:(X,\mu,\mathcal{H})\rightarrow(Y,\lambda)$ is $(\mu,\lambda)$-continuous function if and only if it is weakly $(\pi_\mathcal{H},\lambda)$-continuous function and $(\delta_\mathcal{H},\lambda)$-continuous function where $\mathcal{H}$ is $\mu$-codense.

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Published

25-12-2015

How to Cite

R. Mariappan, M. Murugalingam, & R. Ramesh. (2015). Weakly $(\pi_\mathcal{H},\lambda)$-continuity in Generalized Topologies. International Journal of Mathematics And Its Applications, 3(4 - D), 63–68. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/515

Issue

Vol. 3 No. 4 - D (2015)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.