Semi-Star-Alpha-Open Sets and Associated Functions
|
10.5120/18288-9426 |
A Robert and Pious S Missier. Article: Semi-Star-Alpha-Open Sets and Associated Functions. International Journal of Computer Applications 104(16):24-29, October 2014. Full text available. BibTeX
@article{key:article,
author = {A. Robert and S. Pious Missier},
title = {Article: Semi-Star-Alpha-Open Sets and Associated Functions},
journal = {International Journal of Computer Applications},
year = {2014},
volume = {104},
number = {16},
pages = {24-29},
month = {October},
note = {Full text available}
}
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
- Levine, N. , Semi-open sets and Semi-continuity in topo-logical spaces, Amer. Math. Monthly, 70(1) (1963), 36-41.
- Dontchev, J. , Contra-continuous functions and strongly s-closed spaces, Internat. J. Math. & Math. Sci. 19(2) (1996), 303-310.
- Crossley, S. G and Hildebrand, S. K. , Semi-topological properties, Fund. Math. 74 (1972), 233-254.
- Dontchev, J. , and Noiri, T. ,Contra-Semi continuous func-tions, Mathematica Pannonica, 10(2) (1999), 159-168.
- Caldas M. , Weak and Strong forms of irresolute maps, Internat. J. Math. & Math. Sci. 23(4) (2000) 253-259.
- Pasunkili Pandian,S. , A Study on Semi Star-Preopen Sets in Topological Spaces, Ph. D Thesis, Manonmaniam Sundaranar University, Tirunelveli, India, 2013.
- 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.
- Robert, A and Pious Missier, S. , Between ?-closed sets and semi ?-closed sets, International Journal of Modern Engineering Research, 4(6) 2014, 34-41.
- Pious Missier, S and Robert, A. , New Notions via Semi-Star-Alpha-Open Sets. (communicated)
- Levine, N. , Generalized Closed Sets in Topology, Rend. Circ. Mat. Palermo, 19(2) (1970), 89-96.
- Dunham, W. , A new closure operator for Non-T1 topolo-gies, Kyungpook Math. J. 22 (1) (1982), 55-60.
- Njastad,O. , Some Classes of Nearly Open sets, Pa-cific J. Math. ,15 (3) (1965),961-970.
- Navalagi, G. B. , Definition Bank in General Topology, Topology Atlas (2000).
- Andrijevic,D. , Semi-Preopen Sets, Mat. Vesnik, 38(1986), 24-32.
- Othman, H. A. , New types of ?-continuous mapping, Master Degree Thesis, Al-Mustansiriya University, IRAQ (2004).
- Nour. T. M. , Totally semi-continuous functions, Indian J. Pure Appl. Math. , 26(7) (1995), 675-678.
- Benchalli. S. S. and Umadevi I Neeli. , Semi-Totally Continous Functions in Topological spaces, International Mathematical Forum, 6 (10) (2011), 479-492.