You are here

Home » Content

A Unified Theory for S-Continuity of Multifunctions

Journal Name:

  • İstanbul Üniversitesi Fen Fakültesi Matematik, Fizik ve Astronomi Dergisi

Publication Year:

  • 2000

Key Words:

Author Name
Abstract (2. Language): 
In this paper we introduce upper/lower s-m-continuous multifunctions as multifunctions defined on a set satisfying some minimal conditions. We obtain some characterizations and several properties of such multifunctions unifying some results established in [8], [9], [l2], [20], [22] and [23].
Bookmark/Search this post with
FULL TEXT (PDF): 
PDF icon arastrmx_190866_59_pp_1-15.pdf
1-15
  • English

JEL Codes:

REFERENCES

References: 

[1] M. E. Abd El-Monsef, S. N. El-Deeb and R. A. Mahmoud, fi-open sets and ^-continuous mappings, Bull. Fac. Sci. Assiut Univ. 12 (1983), 77-90.
[2] M. E. Abd El-Monsef, R. A. Mahmoud and E. R. Lashmi, p-closure and P-interior, J. Fac. Ed. Ain Shams Univ. 10 (1986), 235-245.
[3] D. Andrijevic, Semi-preopen sets, Mat. Vesnik 38 (1986), 24-32.
[4] D. Andrijevic, On b-open sets, Mat. Vesnik 48 (1996), 59-64.
[5] S. G. Crossley and S. K. Hildeband, Semi-closure, Texas J. Sci. 22 (1971), 99-112.
[6] G. Di Maio and T. Noiri, On s-closed spaces, Indian J. Pure Appl. Math. 18 (1987), 226-233.
[7] N. El-Deeb, I. A. Hasanein, A. S. Mashhour and T. Noiri, On p-regular spaces, Bull. Math. Soc. Sci. Math. R. S. Roumanie 27(75) (1983), 311-315.
13
[8] J. Ewert and T. Lipski, On s-quasi-continuous multivalued maps, Univ. u Novom Sadu Zb. Rad. Prirod.-Mat. Fak. Ser. Mat. 20 (1990), 167¬183.
[9] J. K. Kohli, A class of mappings containing all continuous and all semiconnected mappings, Proc. Amer. Math. Soc. 72 (1978), 175-181.
[10] I. Kovacevic, Subsets and paracompactness, Univ. u Novom Sadu Zb. Rad. Priod.-Mat. Fak. Ser. Mat. 14 (1984), 79-87.
[11] N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70 (1963), 36-41.
[12] T. Lipski, S-continuous multivalued maps, Math. Chronicle 18 (1989), 57-61.
[13] H. Maki, On generalizing semi-open and preopen sets, Report for Meeting on Topological Spaces Theory and its Applications, August 1996, Yatsushiro College of Technology, pp. 13-18.
[14] A. S. Mashhour, M. E. Abd El-Monsef and S. N. El-Deep, On pre-continuous and weak precontinuous mappings, Proc. Math. Phys. Soc. Egypt 53 (1982), 47-53.
[15] A. S. Mashhour, I. A. Hasanein and S. N. El-Deeb, a-continuous and a-open mappings, Acta Math. Hungar. 41 (1983), 213-218.
[16] M. N. Mukherjee and C. K. Basu, On semi-9-closed sets, semi-9-connectedness and some associated mappings, Bull. Calcutta Math. Soc. 83 (1991), 227-238.
[17] 0. Njastad, On some classes of nearly open sets, Pacific J. Math. 15 (1965), 961-970.
18] T. Noiri and V. Popa, On upper and lower M-continuous multifunc-tions, Filomat (Nis) 14 (2000) (to appear). .
19] J. H. Park, B. Y. Lee and M. J. Son, On S-semi-open sets in topological spaces, J. Indian Acad. Math. 19 (1997), 59-67.
20] V. Popa and T. Noiri, Properties of s-quasi-continuous multifunctions, Far East J. Math. Sci. 1 (1993), 85-91.
14

Thank you for copying data from http://www.arastirmax.com