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Upper and Lower Rarely mX-mY Continuous Multifunction

Year 2014, Volume: 3 Issue: 5, 48 - 56, 01.05.2014

Abstract

– In 1979, Popa introduced the notion of rare continuity. Bhattacharya introduced the concept of rare set and rarelycontinuous functions. This paper is devoted to the study of upper and lower rarely- continuous

References

  • A.Kanibir and I.L.Reilly, Generalized continuity for multifunctions. Acta. math. Hungar, 122(3)(2009)283-292.
  • C. Berge, Espaces Topologiques. Fonctions Multivoques, Dunod, Paris, 1959.
  • Erdal Ekici, Saeid Jafari, on rare s-precontinuity for multifunctions , Demonstratio Mathematica,vol.XLVI,no-2(2013),395-403.
  • E. Ekici, J. H. Park, On weakly s-precontinuous multifunctions, Arabian J. Sci. Engrg. 32(2007), 1a; 83-92
  • Long.P. E. and Herrington, L. L. Properties of rarely continuous functions, Glasnik Mat.17 (37), 229–236, 1982.
  • Miguel Caldas and Saeid Jafari , On rarely g-continuous functions, Glasnik Matematicki , Vol. 40(60)(2005), 317 – 322.
  • Miguel Caldas and Saeid Jafari and T.noiri, Characterizations of rarely g-continuous multifunction, Sarajevo journal of mathematics vol.1(13)(2005),129-133.
  • Sharmistha Bhattacharya(Halder), A Study on rare mX sets and rarely mX continuous function. Hacettepe Journal of Mathematics and Statistics, Vol.39 (3) (2010), 295 – 303.
  • S.Jafari, Rare -continuity, Bull, Malays. math. sci. soc(2)28(2)(2005),157-161.
  • T.Noiri & V. Popa, Slightly m-continuous multifunction, Bulletin of the Institute of Mathematics Academia sinica(New series),vol.1(2006),No-4,pp: 485-505.
  • T. Noiri & V.Popa On upper and lower M-continuous multifunction, Filomat 14(2000),73-86.
  • V. Popa , sur certain decomposition de la continuite dans les espaces topologiques, Glas.Mat.Ser.III,14(34)(1979),359-362.
  • V. Popa and T. Noiri, on M-continuous functions, Anal. Univ. “Dunarea de jos” Galati, ser. Mat. Fiz. Mec. Teor.(2),18(23)(2000),31-41.
  • V. Popa and T. Noiri, On upper and lower weakly -continuous multifunctions, journal of mathematics, Novi sad 2002,vol.32,br.1,str.7-24
  • V. Popa and .T. Noiri, On s- 33(3)(2000), 679–687.
  • , Demonstratio Math.
  • V. Popa , Some properties of rarely continuous multifunction, Conf. Nat. Geom. Topologie,Univ.Al.I.Cuza Iasi,(1989),269-274.
  • V. Popa, and T. Noiri, On M - continuous functions, Anal. Univ. ”Dunarea de Jos” Galati Ser. Mat. Fiz. Mec. Teor. Fasc. II 18 (23), 31–41, 2000.
Year 2014, Volume: 3 Issue: 5, 48 - 56, 01.05.2014

Abstract

References

  • A.Kanibir and I.L.Reilly, Generalized continuity for multifunctions. Acta. math. Hungar, 122(3)(2009)283-292.
  • C. Berge, Espaces Topologiques. Fonctions Multivoques, Dunod, Paris, 1959.
  • Erdal Ekici, Saeid Jafari, on rare s-precontinuity for multifunctions , Demonstratio Mathematica,vol.XLVI,no-2(2013),395-403.
  • E. Ekici, J. H. Park, On weakly s-precontinuous multifunctions, Arabian J. Sci. Engrg. 32(2007), 1a; 83-92
  • Long.P. E. and Herrington, L. L. Properties of rarely continuous functions, Glasnik Mat.17 (37), 229–236, 1982.
  • Miguel Caldas and Saeid Jafari , On rarely g-continuous functions, Glasnik Matematicki , Vol. 40(60)(2005), 317 – 322.
  • Miguel Caldas and Saeid Jafari and T.noiri, Characterizations of rarely g-continuous multifunction, Sarajevo journal of mathematics vol.1(13)(2005),129-133.
  • Sharmistha Bhattacharya(Halder), A Study on rare mX sets and rarely mX continuous function. Hacettepe Journal of Mathematics and Statistics, Vol.39 (3) (2010), 295 – 303.
  • S.Jafari, Rare -continuity, Bull, Malays. math. sci. soc(2)28(2)(2005),157-161.
  • T.Noiri & V. Popa, Slightly m-continuous multifunction, Bulletin of the Institute of Mathematics Academia sinica(New series),vol.1(2006),No-4,pp: 485-505.
  • T. Noiri & V.Popa On upper and lower M-continuous multifunction, Filomat 14(2000),73-86.
  • V. Popa , sur certain decomposition de la continuite dans les espaces topologiques, Glas.Mat.Ser.III,14(34)(1979),359-362.
  • V. Popa and T. Noiri, on M-continuous functions, Anal. Univ. “Dunarea de jos” Galati, ser. Mat. Fiz. Mec. Teor.(2),18(23)(2000),31-41.
  • V. Popa and T. Noiri, On upper and lower weakly -continuous multifunctions, journal of mathematics, Novi sad 2002,vol.32,br.1,str.7-24
  • V. Popa and .T. Noiri, On s- 33(3)(2000), 679–687.
  • , Demonstratio Math.
  • V. Popa , Some properties of rarely continuous multifunction, Conf. Nat. Geom. Topologie,Univ.Al.I.Cuza Iasi,(1989),269-274.
  • V. Popa, and T. Noiri, On M - continuous functions, Anal. Univ. ”Dunarea de Jos” Galati Ser. Mat. Fiz. Mec. Teor. Fasc. II 18 (23), 31–41, 2000.
There are 18 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Sharmistha Bhattacharya (halder) This is me

Gour Pal This is me

Publication Date May 1, 2014
Published in Issue Year 2014 Volume: 3 Issue: 5

Cite

APA (halder), S. B., & Pal, G. (2014). Upper and Lower Rarely mX-mY Continuous Multifunction. Journal of New Results in Science, 3(5), 48-56.
AMA (halder) SB, Pal G. Upper and Lower Rarely mX-mY Continuous Multifunction. JNRS. May 2014;3(5):48-56.
Chicago (halder), Sharmistha Bhattacharya, and Gour Pal. “Upper and Lower Rarely MX-MY Continuous Multifunction”. Journal of New Results in Science 3, no. 5 (May 2014): 48-56.
EndNote (halder) SB, Pal G (May 1, 2014) Upper and Lower Rarely mX-mY Continuous Multifunction. Journal of New Results in Science 3 5 48–56.
IEEE S. B. (halder) and G. Pal, “Upper and Lower Rarely mX-mY Continuous Multifunction”, JNRS, vol. 3, no. 5, pp. 48–56, 2014.
ISNAD (halder), Sharmistha Bhattacharya - Pal, Gour. “Upper and Lower Rarely MX-MY Continuous Multifunction”. Journal of New Results in Science 3/5 (May 2014), 48-56.
JAMA (halder) SB, Pal G. Upper and Lower Rarely mX-mY Continuous Multifunction. JNRS. 2014;3:48–56.
MLA (halder), Sharmistha Bhattacharya and Gour Pal. “Upper and Lower Rarely MX-MY Continuous Multifunction”. Journal of New Results in Science, vol. 3, no. 5, 2014, pp. 48-56.
Vancouver (halder) SB, Pal G. Upper and Lower Rarely mX-mY Continuous Multifunction. JNRS. 2014;3(5):48-56.


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