Upper and Lower Semi Strong Na Continuous Multifunctions

Tugba Han Dizman (Simsekler); Naime Tozlu; Saziye Yuksel

doi:https://doi.org/10.14445/22315373/IJMTT-V40P518

International Journal of Mathematics Trends and Technology

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Volume 40 | Number 2 | Year 2016 | Article Id. IJMTT-V40P518 | DOI : https://doi.org/10.14445/22315373/IJMTT-V40P518

Upper and Lower Semi Strong Na Continuous Multifunctions

Tugba Han Dizman (Simsekler), Naime Tozlu, Saziye Yuksel

Abstract

The aim of this paper is to introduce semi strong na continuous multifunctions and to obtain new results.

Keywords

multifunction, na continuous, feebly open, semi open.

References

[1] M. Akdag, “On super continuous multifunctions”, Acta Math. Hungar., vol. 99(1-2), pp. 143-153, 2003.
[2] M. Akdag, “Weak and strong forms of continuity of multifunctions”, Chaos Solitions and Fractals, vol. 32, pp. 1337-1344, 2007.
[3] Arya S.P, Bhamini M.P, “A note on semi US-spaces”, Ranchi Univ Maths. Jour., vol. 13, pp. 60-69, 1982.
[4] T. Banzaru, “On the upper semicontinuity of the upper topological limite for multifunction nets”, Semin. Mat. Fiz. Inst. Politeh Timisoara, pp. 59-64, 1983.
[5] C. Berge, “Escapes topologiques fonctions multivoques”, Paris, Dunod, 1959.
[6] G. U. Chae, T. Noiri, and D.W. Lee, “On na-continuous functions”, Kyungpook Math. J., vol. 26(1), pp. 73-79, 1986.
[7] G.U. Chae, T. Noiri, “Weakly completely continuous functions”, Univ. Ulsan Rep., vol. 17, pp. 121-125, 1986.
[8] P. Das, I.J.M.M, vol. 12, pp. 31-34, 1974.
[9] N. Levine, “Semi-open sets and semi continuity in topological Spaces”, Amer. Math. Monthly, vol. 70, pp. 36-41, 1963.
[10] O. Nijastad, “On some classes of nearly open sets”, Pacific J. Math., vol. 15, pp. 961-970, 1965.
[11] T. Noiri, “Remarks on Semi-open Mappings”, Bull. Gal. Math. Soc., Vol. 4(65), pp. 197-201, 1973.
[12] T. Noiri, V. Popa, “Almost weakly continuous multifunctions”, Demonstratio Math., vol. 26(2), pp. 363-380, 1993.
[13] T. Noiri, V. Popa, “On upper and lower M-continuous Multifunctions”, Filomat, vol. 14, pp. 73-86, 2000.
[14] S. N. Maheshwari and U.D. Tapi, “Note on Some Applications of Feebly Open Sets”, M.B.J. Univ Saugar, 1979.
[15] S. N. Maheshwari, R. Prasad, “On s-Normal Spaces”, Bull. Math. Soc. Sci. Math. R.S. Roumanie, vol. 22(70), pp. 27-29, 1978.
[16] R.A. Mahmoud, M.E. Abd El- Monsef and A.A. Nasef, “Functions Near of Na Continuity”, Qatar Univ. Sci. Bull., vol. 9, pp. 17-25,1989.
[17] A. S. Mashhour, M. E. Abd El-Monsef, S. N. El-Deeb, “On precontinuous and weak precontinuous mappings”, Proc. Math. Phys. Soc. Egypt, vol. 53, pp. 47-53, 1982.
[18] V. I. Ponomarev, “Properties of topological spaces preserved under multivalued continuous mappings”, Amer. Math. Soc. Transl., vol. 38(2), pp. 119-140, 1964.
[19] M. K. Singal, A. Mathur,” On nearly compact spaces”, Bull. Un. Mat. Ital., vol. 4(2), pp. 702-710, 1969.
[20] M. H. Stone, “Applications of the theory of Boolean rings to general topology”, TAMS 41, pp. 375-381, 1937.
[21] N. V. Velicko, “H-closed topological spaces”, Amer. Math. Soc. Transl., vol. 78, pp. 103-118, 1968.
[22] S. Yuksel, T. H. Simsekler, B. Kut, “Upper and lower na continuous multifunctions”, Hacettepe Jour. of Mathematics and Statistics, vol. 40(2), pp. 341-348, 2011.
[23] S. Yuksel, T.H. Simsekler, B. Bilik, “Upper and Lower Pre-Strong Na Continuous Multifunctions”, Applied Mathematics and Computation, vol. 218, pp. 1142-1146, 2011.

Citation :

Tugba Han Dizman (Simsekler), Naime Tozlu, Saziye Yuksel, "Upper and Lower Semi Strong Na Continuous Multifunctions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 40, no. 2, pp. 170-174, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V40P518