Almost ps-continuous functions

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Published: Mar 31, 2012
DOI: https://doi.org/10.5556/j.tkjm.43.2012.737
Keywords:
ps-continuous precontinuous almost precontinuous functions.

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Alias Barakat Khalaf
Department ofMathematics, College of Basic Education, University of Duhok, Kurdistan-Region, Iraq.
Baravan A. Asaad
Department ofMathematics, College of Education, University of Duhok, Kurdistan-Region, Iraq.

Abstract

The purpose of this paper is to introduce a new class of functions called almost ps-continuous function by using ps-open sets in topological spaces. Some properties and characterizations of this function are given.

Article Details

How to Cite
Khalaf, A. B., & Asaad, B. A. (2012). Almost ps-continuous functions. Tamkang Journal of Mathematics, 43(1), 33–50. https://doi.org/10.5556/j.tkjm.43.2012.737
Issue
Vol. 43 No. 1 (2012)
Section
Papers
Author Biography

Alias Barakat Khalaf, Department ofMathematics, College of Basic Education, University of Duhok, Kurdistan-Region, Iraq.

Asst. Professor

References

Abd El-Monsef M. E., El-Deeb S. N. and Mahmoud R. A.,$beta$-open sets and $beta$-continuous mappings, Bull. Fac. Sci. Assuit. Univ., 12% (1) (1983), 1--18.

A. S. Abdulla, On some applications of special subsets in topology, Ph.D. Thesis, Tanta Univ., 1986.

N. K. Ahmed, On some types of separation axioms, M.Sc. Thesis, College of Science, Salahaddin Univ., 1990.

D. Andrijevic, Semi-preopen sets, Math. Vesnik,38 (1986), 24--36.

D. E. Cameron, Properties of S-closed spaces, Proc. Amer. Math. Soc., 72 (3) (1978), 581--586.

D. A. Carnahan, Some properties related to compactness in topological spaces, Ph.D. Thesis, Univ. Arkansas, 1973.

S. G. Crossley and S. K. Hildebrand, Semi-topological properties, Fundamenta Mathematica, 74 (1972), 233--254.

G. Di Maio and T. Noiri, On s-closed spaces, Indian J. Pure Appl. Math., 18 (3) (1987), 226--233.

J. Dontchev, Survey on preopen sets, The Proceedings of the Yatsushiro Topological Conference, (1998), 1--18.

M. Ganster, T. Noiri and I. L. Reilly, Weak and strong forms of $theta$-irresolute functions, J. Inst. Math. Comput. Sci., 1 (1) (1988), 19--29.

T. Y. Guo, A characterization of extremally disconnected spaces, J.Central China Normal Univ. Natur. Sci., 21 (2) (1981), 169--170.

D. S. Jankovic, A note on mappings of extremally disconnected spaces, Acta Math. Hungar., 46 (1-2) (1985), 83--92.

J. E. Joseph and M. H. Kwack, On S-closed spaces, Proc. Amer. Math. Soc., 80 (2) (1980), 341--348.

A. B. Khalaf and A. M. Abdul-Jabbar, Almost $theta s$-continuity and weak $theta s$-continuity in topological spaces, J. Duhok Univ., 4 (2) (2001), 171--177.

A. B. Khalaf and B. A. Asaad, $p_s$-open sets and $p_s$-continuity in topological spaces, J. Duhok univ., 12 (2) (2009), 183--192.

F. H. Khedr and T. Noiri, On $theta$-irresolute functions, Indian J. Math., 28 (3) (1986), 211--217.

N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, 70 (1) (1963), 36--41.

S. N. Maheshwari and R. Prasad, Some new separation axioms, Ann. Soc. Sci. Bruxelles, Ser. I., 89 (1975), 395--402.

A. S. Mashhour, M. E. Abd El-Monsef and S. N. El-Deeb, On precontinuous and week precontinuous mappings, Proc. Math. Phys. Soc. Egypt}, 53 (1982), 47--53.

B. M. Munshi and D. S. Bassan, Super continuous functions, Indian J. Pure Appl. Math., 13 (2) (1982), 229--236.

A. A. Nasef and T. Noiri, Some weak forms of almost continuity, Acta Math. Hungar., 74 (3) (1997), 211--219.

O. Njastad, On some classes of nearly open sets, Pacific J. Math., 15 (3) (1965), 961--970.

T. Noiri, Almost $alpha$-continuous functions, Kyungpook Math. J., 28 (1988), 71--77.

T. Noiri, On $delta$-continuous functions, J. Korean Math.Soc., 16 (2) (1980), 161--166.

T. Noiri, Properties of some weak forms of continuity, Internat. J. Math. and Math. Sci., 10 (1)(1987), 97--111.

T. Noiri, Remarks on semi-open mappings, Bull. Calcutta. Math. Soc., 65 (1973), 197--201.

T. Noiri and S. M. Kang, On almost strongly $theta$-continuous functions, Indian J. Pure Appl. Math., 15 (1) (1984), 1--8.

T. Noiri and V. Popa, On Almost $beta$-continuous functions,Acta Math. Hungar., 79 (4) (1998), 329--339.

A. Prakash and P. Srivstava, Some results on weak continuity, almost continuity and c-continuity, Indian J. Math., 19 (1) (1977).

M. K. Singal and A. R. Singal, Almost continuous mappings, Yokohama Math. J., 16 (1968), 63--73.

L. A. Steen and J. A. Seebach, Counterexamples in Topology, Springer Verlag New York Heidelberg Berlin, 1978.

N. V. Velicko, H-closed topological spaces, Amer. Math. Soc. Transl., 78 (2) (1968), 103-118.

G. H. Wang, On S-closed spaces, Acta Math. Sinica, 24 (1981), 55--63.