– 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
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.
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
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.
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.
(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.