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ON STRONGLY θ-β* g-CONTINUOUS MULTIFUNCTIONS

Year 2013, Volume: 1 Issue: 2, 136 - 142, 01.12.2013

Abstract

The purpose of this paper is to define a new class of multifunctions namely strongly θ-βg-continuous multifunctions and to improve somecharacterizations concerning upper and lower strongly θ-β∗g-continuous multifunctions

References

  • Acikgoz, A., On β∗g-closed sets and new separation axioms. European J of Pure and Applied Mathematics. 4 (2011), No. 1, 20-33.
  • Banzaru, T., On the upper semicontinuity of the upper topological limit for multifunction nets. Semin. Mat. Fiz. Inst. Politeh Timisoara. (1983), 59-64.
  • Berge, C., Escapes topologiques functions multivoques, Paris, Dunod, (1959).
  • El Naschie, MS., On the uncertainty of cantorian geometry and the two-slit experiment. Chaos, Solitons and Fractals. (1998), No. 3, 517-529.
  • El Naschie, MS., Quantum gravity from descriptive set theory. Chaos, Solitons and Fractals. (2004), No. 19, 1339-1344.
  • El Naschie, MS., Quantum gravity , clifford algebras , fuzzy set theory and the fundamental constants of nature. Chaos, Solitons and Fractals. (2004), No. 20, 437-450.
  • El Naschie, MS., On a fuzzy Kahler-like manifold which is consistent with the two slit exper- iment. Int J Nonlinear Sci Numer Simul Fractals. (2004), No.6, 95-98.
  • El Naschie, MS., Topics in the mathematical physics of E -nfinity theory. Chaos,Solitons and Fractals. (2006), No. 30, 656-663.
  • Nasef, A.A., On b-locally closed sets and related topics. Chaos, Solitons and Fractals. (2001), No. 12, 1909-1915. [10] Nasef, A.A., Another weak forms of faint continuity. Chaos, Solitons and Fractals. (2001), No. 12, 2219-2225. [11] Nasef, A.A., Some properties of contra-γ-continuous functions. Chaos, Solitons and Fractals. (2005), No. 24, 471-477.
  • Noiri, T. and Popa, V., Faintly m-continuous functions. Chaos, Solitons and Fractals. (2004), No. 19, 1147-1159. [13] Noiri, T. and Popa, V., Almost weakly continuous multifunctions. Demonstratio Math. (1993), No. 2, 363-380.
  • Park, J.H., Almost p-normal, mildly p-normal spaces and some functions . Chaos, Solitons and Fractals. (2003), No. 18, 267-274.
  • Park, J.H., Lee, B.Y., Son, M.J., On upper and lower δ-precontinuous multifunctions. Chaos, Solitons and Fractals. 5 (2004), No. 19, 1231-1237.
  • Park, J.H., Strongly θ-b-continuous functions . Acta Mathematica Hungarica. 4 (2006), No. 110, 347-359.
  • Park, J.H., Bae, S.W. and Park, Y.B., Almost strongly θ-precontinuous functions. Chaos, Solitons and Fractals. (2006), No. 28, 32-41.
  • Whyburn, G.T., Retracting multifunctions. Proc. Nat. Acad. Sci. U.S.A. Studies. (1968), No. 59, 343-348.
  • Velicko, N.V., H-closed topological spaces. Amer. Math.Soc.Transl.Studies. (1968), No. 78, 103-118.
  • Yuksel, S., and Beceren, Y., A decomposition of continuity. Selcuk Univ.Fac.of Arts Science J. 14 (1997), No. 1, 79-83.
  • Yuksel, S., Simsekler, T.H., and Kut, B., Upper and lower na-continuous multifunctions. Hacettepe Journal of Mathematics and Statistics 40 (2011), No. 2, 341-348.
  • Yuksel, S., Simsekler, T.H., and Bilik, B., Upper and lower pre-strong na continuous multi- functions. Applied Mathematics and Computation 218 (2011), No. 3, 1142-1146.
  • Faculty of Arts and Sciences, Department of Mathematics, Balıkesir University, Campus of Cagis, 10145, Balıkesir-TURKEY
  • E-mail address: ahuacikgoz@gmail.com
  • Faculty of Chemical and Metallurgical Engineering, Department of Mathematical Engineering, Yildiz Technical University, 34220, Istanbul-TURKEY
  • E-mail address: sgoktepe@yildiz.edu.tr

Year 2013, Volume: 1 Issue: 2, 136 - 142, 01.12.2013

Abstract

References

  • Acikgoz, A., On β∗g-closed sets and new separation axioms. European J of Pure and Applied Mathematics. 4 (2011), No. 1, 20-33.
  • Banzaru, T., On the upper semicontinuity of the upper topological limit for multifunction nets. Semin. Mat. Fiz. Inst. Politeh Timisoara. (1983), 59-64.
  • Berge, C., Escapes topologiques functions multivoques, Paris, Dunod, (1959).
  • El Naschie, MS., On the uncertainty of cantorian geometry and the two-slit experiment. Chaos, Solitons and Fractals. (1998), No. 3, 517-529.
  • El Naschie, MS., Quantum gravity from descriptive set theory. Chaos, Solitons and Fractals. (2004), No. 19, 1339-1344.
  • El Naschie, MS., Quantum gravity , clifford algebras , fuzzy set theory and the fundamental constants of nature. Chaos, Solitons and Fractals. (2004), No. 20, 437-450.
  • El Naschie, MS., On a fuzzy Kahler-like manifold which is consistent with the two slit exper- iment. Int J Nonlinear Sci Numer Simul Fractals. (2004), No.6, 95-98.
  • El Naschie, MS., Topics in the mathematical physics of E -nfinity theory. Chaos,Solitons and Fractals. (2006), No. 30, 656-663.
  • Nasef, A.A., On b-locally closed sets and related topics. Chaos, Solitons and Fractals. (2001), No. 12, 1909-1915. [10] Nasef, A.A., Another weak forms of faint continuity. Chaos, Solitons and Fractals. (2001), No. 12, 2219-2225. [11] Nasef, A.A., Some properties of contra-γ-continuous functions. Chaos, Solitons and Fractals. (2005), No. 24, 471-477.
  • Noiri, T. and Popa, V., Faintly m-continuous functions. Chaos, Solitons and Fractals. (2004), No. 19, 1147-1159. [13] Noiri, T. and Popa, V., Almost weakly continuous multifunctions. Demonstratio Math. (1993), No. 2, 363-380.
  • Park, J.H., Almost p-normal, mildly p-normal spaces and some functions . Chaos, Solitons and Fractals. (2003), No. 18, 267-274.
  • Park, J.H., Lee, B.Y., Son, M.J., On upper and lower δ-precontinuous multifunctions. Chaos, Solitons and Fractals. 5 (2004), No. 19, 1231-1237.
  • Park, J.H., Strongly θ-b-continuous functions . Acta Mathematica Hungarica. 4 (2006), No. 110, 347-359.
  • Park, J.H., Bae, S.W. and Park, Y.B., Almost strongly θ-precontinuous functions. Chaos, Solitons and Fractals. (2006), No. 28, 32-41.
  • Whyburn, G.T., Retracting multifunctions. Proc. Nat. Acad. Sci. U.S.A. Studies. (1968), No. 59, 343-348.
  • Velicko, N.V., H-closed topological spaces. Amer. Math.Soc.Transl.Studies. (1968), No. 78, 103-118.
  • Yuksel, S., and Beceren, Y., A decomposition of continuity. Selcuk Univ.Fac.of Arts Science J. 14 (1997), No. 1, 79-83.
  • Yuksel, S., Simsekler, T.H., and Kut, B., Upper and lower na-continuous multifunctions. Hacettepe Journal of Mathematics and Statistics 40 (2011), No. 2, 341-348.
  • Yuksel, S., Simsekler, T.H., and Bilik, B., Upper and lower pre-strong na continuous multi- functions. Applied Mathematics and Computation 218 (2011), No. 3, 1142-1146.
  • Faculty of Arts and Sciences, Department of Mathematics, Balıkesir University, Campus of Cagis, 10145, Balıkesir-TURKEY
  • E-mail address: ahuacikgoz@gmail.com
  • Faculty of Chemical and Metallurgical Engineering, Department of Mathematical Engineering, Yildiz Technical University, 34220, Istanbul-TURKEY
  • E-mail address: sgoktepe@yildiz.edu.tr
There are 23 citations in total.

Details

Primary Language English
Authors

Ahu Açıkgöz This is me

Sedagöktepe This is me

Submission Date March 9, 2015
Publication Date December 1, 2013
Published in Issue Year 2013 Volume: 1 Issue: 2

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