CFP last date
20 December 2024
Reseach Article

Some New Concepts of Continuity in Generalized Topological Space

by P. L. Powar, K. L. Rajak
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 38 - Number 5
Year of Publication: 2012
Authors: P. L. Powar, K. L. Rajak
10.5120/4683-6806

P. L. Powar, K. L. Rajak . Some New Concepts of Continuity in Generalized Topological Space. International Journal of Computer Applications. 38, 5 ( January 2012), 12-17. DOI=10.5120/4683-6806

@article{ 10.5120/4683-6806,
author = { P. L. Powar, K. L. Rajak },
title = { Some New Concepts of Continuity in Generalized Topological Space },
journal = { International Journal of Computer Applications },
issue_date = { January 2012 },
volume = { 38 },
number = { 5 },
month = { January },
year = { 2012 },
issn = { 0975-8887 },
pages = { 12-17 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume38/number5/4683-6806/ },
doi = { 10.5120/4683-6806 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:24:45.337413+05:30
%A P. L. Powar
%A K. L. Rajak
%T Some New Concepts of Continuity in Generalized Topological Space
%J International Journal of Computer Applications
%@ 0975-8887
%V 38
%N 5
%P 12-17
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In the present paper, we have studied the analogue of some continuous functions in generalized topological space and consequently their behavior in fine topological space (cf. [18]).

References
  1. Abd El-Monsef, M. E., Mahmoud R. A., El-Deeb, S. N. ?-open sets and ?-continuous mappings, Bull Fac Sci Assiut Univ, 1983, 12(1), 77-90.
  2. Abd El-Monsef, M. E., Mahmoud, R. A., Nasef A. A., , A class of functions stronger than M--precontinuity, preirresolute and A-functions, qatar Univ Sci Bull, 1990, 10, 41-8.
  3. Arya, S. P., Gupta, R., On strongly continuous mappings, Kyungpook Math. J, 1974, 14, 131-43.
  4. Beceren, Y., Almost ?-irresolute functions, Bull. Calcutta Math. Soc., 92(2000), 213-218.
  5. Biswas N., Some mappings in topological spaces, Bull Cal Math Soc, 1969,61, 127-35.
  6. Carnaham, D., Some properties related to compacteness in topological spaces, Ph. D. thesis, University of Arkansas, 1973.
  7. Crossley, S. G., Hildebrand S. K., Semi-topological properties, Fund Math, 1972, 74, 233-54 .
  8. Császár, A., Generalized topology, generalized continuity, Acta Math. Hungar., 96(2002), 351-357 .
  9. Császár, A., Generalized open sets in generalized topologies, Acta Math. Hungar., 106(2005), 53-66.
  10. Levin, N., Semi-open sets and semi-continuity in topological spaces, Am Math Mon, 1963, 70, 36-41.
  11. Lo Faro, G., On strongly ?-irresolute mappings, Ind J Pure Appl Math, 1987, 2(18), 146-51.
  12. Mahmoud, R. A., Abd El-Monsef, M. E., ?- irresolute and ?-topological invarient, Proc Pakistan Acad Sci, 1990, 27, 285-96.
  13. Min, W. K., Almost continuity on generalized topological spaces, Acta Math Hungar, 125, 2009, 121-125.
  14. Nasef, A. A., Noiri, T., Strongly ? -irresolute functions, J Nat Sci Math, 1996, 36, 199-206.
  15. Navalagi, G. B., Completely preirresolute functions and completely gp-irresolute functions, Topology atlas preprint, 2001.
  16. Navalagi, G. B., On completely ?-irresolute functions, Topology atlas preprint, 2001.
  17. Noiri, T., Super continuity and some strong forms of continuity, Ind J Pure Appl Math, 1984, 15(3), 241-50.
  18. Powar, P. L., Rajak, K., Fine-irresolute Mappings, (Communicated).
  19. Powar P. L., Rajak, K., Study of g-?-irresolute functions in the special class of generalized topological space, IJCA, 31, 8, 2011.
  20. Zorlutuna, I., On strong forms of completely irresolute functions, Chaos, Solitons and Fractals, 38(2008), 970-979.
Index Terms

Computer Science
Information Sciences

Keywords

Fine-open sets g-open sets g-?-open sets g-?-open sets g-semi-open sets g-pre-open sets.