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Reseach Article

Semi-Star-Alpha-Open Sets and Associated Functions

by A. Robert, S. Pious Missier
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 104 - Number 16
Year of Publication: 2014
Authors: A. Robert, S. Pious Missier
10.5120/18288-9426

A. Robert, S. Pious Missier . Semi-Star-Alpha-Open Sets and Associated Functions. International Journal of Computer Applications. 104, 16 ( October 2014), 24-29. DOI=10.5120/18288-9426

@article{ 10.5120/18288-9426,
author = { A. Robert, S. Pious Missier },
title = { Semi-Star-Alpha-Open Sets and Associated Functions },
journal = { International Journal of Computer Applications },
issue_date = { October 2014 },
volume = { 104 },
number = { 16 },
month = { October },
year = { 2014 },
issn = { 0975-8887 },
pages = { 24-29 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume104/number16/18288-9426/ },
doi = { 10.5120/18288-9426 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:36:30.798701+05:30
%A A. Robert
%A S. Pious Missier
%T Semi-Star-Alpha-Open Sets and Associated Functions
%J International Journal of Computer Applications
%@ 0975-8887
%V 104
%N 16
%P 24-29
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The aim of this paper is to introduce various functions associated with semi*?-open sets. Here semi*?-continuous, semi*?-irresolute, contra-semi*?-continuous and contra-semi*?-irresolute functions are defined. Characterizations for these functions are given. Further their fundamental properties are investigated. Many other functions associated with semi*?-open sets and their contra versions are introduced and their properties are studied. In addition strongly semi*?-irresolute functions, contra-strongly semi*?-irresolute functions, semi*?-totally continuous, totally semi*?-continuous functions and semi*?-homeomorphisms are introduced and their properties are investigated.

References
  1. Levine, N. , Semi-open sets and Semi-continuity in topo-logical spaces, Amer. Math. Monthly, 70(1) (1963), 36-41.
  2. Dontchev, J. , Contra-continuous functions and strongly s-closed spaces, Internat. J. Math. & Math. Sci. 19(2) (1996), 303-310.
  3. Crossley, S. G and Hildebrand, S. K. , Semi-topological properties, Fund. Math. 74 (1972), 233-254.
  4. Dontchev, J. , and Noiri, T. ,Contra-Semi continuous func-tions, Mathematica Pannonica, 10(2) (1999), 159-168.
  5. Caldas M. , Weak and Strong forms of irresolute maps, Internat. J. Math. & Math. Sci. 23(4) (2000) 253-259.
  6. Pasunkili Pandian,S. , A Study on Semi Star-Preopen Sets in Topological Spaces, Ph. D Thesis, Manonmaniam Sundaranar University, Tirunelveli, India, 2013.
  7. Robert, A. and Pious Missier, S. , A New Class of sets weaker than ?-open sets, International Journal of Math-ematics and Soft Computing, 4(2) (2014), 197-206.
  8. Robert, A and Pious Missier, S. , Between ?-closed sets and semi ?-closed sets, International Journal of Modern Engineering Research, 4(6) 2014, 34-41.
  9. Pious Missier, S and Robert, A. , New Notions via Semi-Star-Alpha-Open Sets. (communicated)
  10. Levine, N. , Generalized Closed Sets in Topology, Rend. Circ. Mat. Palermo, 19(2) (1970), 89-96.
  11. Dunham, W. , A new closure operator for Non-T1 topolo-gies, Kyungpook Math. J. 22 (1) (1982), 55-60.
  12. Njastad,O. , Some Classes of Nearly Open sets, Pa-cific J. Math. ,15 (3) (1965),961-970.
  13. Navalagi, G. B. , Definition Bank in General Topology, Topology Atlas (2000).
  14. Andrijevic,D. , Semi-Preopen Sets, Mat. Vesnik, 38(1986), 24-32.
  15. Othman, H. A. , New types of ?-continuous mapping, Master Degree Thesis, Al-Mustansiriya University, IRAQ (2004).
  16. Nour. T. M. , Totally semi-continuous functions, Indian J. Pure Appl. Math. , 26(7) (1995), 675-678.
  17. Benchalli. S. S. and Umadevi I Neeli. , Semi-Totally Continous Functions in Topological spaces, International Mathematical Forum, 6 (10) (2011), 479-492.
Index Terms

Computer Science
Information Sciences

Keywords

semi*?-continuous semi*?-irresolute semi*?-open semi*?-closed pre-semi*?-open function pre-semi*?-closed function