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Decomposition of δ-Continuity and δ*-Continuity

P.L. Powar1 , Pratibha Dubey2

  1. Department of Mathematics and Computer Science, R.D. University, Jabalpur, India.
  2. Department of Mathematics, St. Aloysius College, Jabalpur, India.

Correspondence should be addressed to: dubeypratibha111@gmail.com.

Section:Research Paper, Product Type: Journal Paper
Volume-5 , Issue-9 , Page no. 89-96, Sep-2017

CrossRef-DOI:   https://doi.org/10.26438/ijcse/v5i9.8996

Online published on Sep 30, 2017

Copyright © P.L. Powar, Pratibha Dubey . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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IEEE Style Citation: P.L. Powar, Pratibha Dubey, “Decomposition of δ-Continuity and δ*-Continuity,” International Journal of Computer Sciences and Engineering, Vol.5, Issue.9, pp.89-96, 2017.

MLA Style Citation: P.L. Powar, Pratibha Dubey "Decomposition of δ-Continuity and δ*-Continuity." International Journal of Computer Sciences and Engineering 5.9 (2017): 89-96.

APA Style Citation: P.L. Powar, Pratibha Dubey, (2017). Decomposition of δ-Continuity and δ*-Continuity. International Journal of Computer Sciences and Engineering, 5(9), 89-96.

BibTex Style Citation:
@article{Powar_2017,
author = {P.L. Powar, Pratibha Dubey},
title = {Decomposition of δ-Continuity and δ*-Continuity},
journal = {International Journal of Computer Sciences and Engineering},
issue_date = {9 2017},
volume = {5},
Issue = {9},
month = {9},
year = {2017},
issn = {2347-2693},
pages = {89-96},
url = {https://www.ijcseonline.org/full_paper_view.php?paper_id=1436},
doi = {https://doi.org/10.26438/ijcse/v5i9.8996}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v5i9.8996}
UR - https://www.ijcseonline.org/full_paper_view.php?paper_id=1436
TI - Decomposition of δ-Continuity and δ*-Continuity
T2 - International Journal of Computer Sciences and Engineering
AU - P.L. Powar, Pratibha Dubey
PY - 2017
DA - 2017/09/30
PB - IJCSE, Indore, INDIA
SP - 89-96
IS - 9
VL - 5
SN - 2347-2693
ER -

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Abstract

In the present paper, the notion of δ-open sets, g-closed sets, δg-closed sets; and the relation between them has been studied. It is also noted that the collection of δ-open sets form the topology. A new concept of δ*-continuity has been established which is a generalization of the classical form of continuity. By introducing the idea of δ-fine ope n set and δg-fine open set, δ-fine continuity and δg-fine continuity have been defined. In support of these new concepts, several illustrative examples have been given.

Key-Words / Index Term

δ-open sets, g-closed sets, δg-closed sets

References

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