Some properties of upper and lower θ-quasicontinuous multifunctions

• Autorzy: Noiri T. , Popa V.
• Języki publikacji: EN

Abstrakty

EN

In this paper we obtain new characterizations of upper and lower θ-quasicontinuous muitifunctions and investigate several properties of such multifunctions.

Słowa kluczowe

EN

continuous functions; multifunctions; topological spaces

PL

funkcje ciągłe; multifunkcje; przestrzeń topologiczna

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2005
• Tom: Vol. 38, nr 1
• Strony: 223--234
• Opis fizyczny: Bibliogr. 28 poz.

Twórcy

autor

Noiri T.

• 2949-1 Shiokita-Cho, Hinagu, Yatsushiro-Shi, Kumamoto-Ken, 869-5142 Japan

autor

Popa V.

• Department of Mathematics, University of Bacău, 5500 Bacău, Romania

Bibliografia

• [1] M. E. Abd El-Monsef, S. N. El-Deeb and R. A. Mahmoud, ß-open sets and ß-continuous mappings, Bull. Fac. Sci. Assiut Univ. 12 (1983), 77-90.
• [2] M. E. Abd El-Monsef, R. A. Mahmoud and E. R. Lashin, ß-closure and ß-interior, J. Fac. Ed. Ain Shams Univ. 10 (1986), 235-245.
• [3] D. Andrijević, Semi-preopen sets, Mat. Vesnik 38 (1986), 24-32.
• [4] S. P. Arya and M. P. Bhamini, Some weaker forms of semi-continuous functions, Ganita 33 (1982), 124-134.
• [5] T . Bânzaru, Multifunctions and M-product spaces (Romanian), Bul. St. Tehn. Inst. Politehn. "Traian. Vuia", Timişoara, Ser. Mat. Fiz. Mec. Teor. Appl. 17(31) (1972), 17-23.
• [6] J. P. Clay and J. E. Joseph, On multifunctions satisfying certain semicontinuity type conditions, Kyungpook Math. J. 24 (1984), 179-202.
• [7] S. G. Crossley and S. K. Hildebrand, Semi-closure, Texas J. Sci. 22 (1971), 99-112.
• [8] G. Di Maio and T. Noiri, On s-closed spaces, Indian J. Pure Appl. Math. 18 (1987), 226-233.
• [9] G. Di Maio and T. Noiri, Weak and strong forms of irresolute functions, Rend. Circ. Mat. Palermo (2) 18 (1988), 255-273.
• [10] S. 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.
• [11] S. Fomin, Extensions of topological spaces, Ann. of Math. 44 (1943), 471-480 = Dokl. Acad. Nauk S.S.S.R. 32 (1941), 114-116.
• [12] S. Jafari and T. Noiri, Properties of θ-semi-continuous functions, J. Inst. Math. Comput. Sci. Math. Ser. 13 (2000), 123-128.
• [13] I. Kovačević, Subsets and parocompactness, Univ. u Novom Sadu, Zb. Rad. Prirod. Mat. Fac. Ser. Mat. 14 (1984), 79-87.
• [14] N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70 (1963), 36-41.
• [15] S. N. Maheshwari and R. Prasad, Some new separation axioms, Ann. Soc. Sci. Bruxelles 89 (1975), 394-402.
• [16] A. S. Mashhour, M. E. Abd El-Monsef and S. N. El-Deep, On precontinuous and weak precontinuous mappings, Proc. Math. Phys. Soc. Egypt 53 (1982), 47-53.
• [17] A. S. Mashhour, I. A. Hasanein and S. N. El-Deeb, α-continuous and α-open mappings, Acta Math. Hungar. 41 (1983), 213-218.
• [18] O. Njåstad, On some classes of nearly open sets, Pacific J. Math. 15 (1965), 961-970.
• [19] T. Noiri, On θ-semi-continuous functions, Indian J. Pure Appl. Math. 21 (1990), 410-415.
• [20] V. Popa, Multifunctions semi-continues, Rev. Roumaine Math. Pures Appl. 27 (1982), 807-815.
• [21] V. Popa, Some-properties of H-almost-continuous-multifunctions, Problemy Mat. 10 (1988), 9-26.
• [22] V. Popa and T. Noiri, On upper and lower α-continuous multifunctions, Math. Slovaca 43 (1993), 477-491.
• [23] V. Popa and T. Noiri, On θ-quasicontinuous multifunctions, Demonstratio Math. 28 (1995), 111-122.
• [24] V. Popa and T. Noiri, On upper and lower ß-continuous multifunctions, Real Anal. Exchange 22 (1996/97), 362-376.
• [25] R. Staum, The algebra of bounded continuous functions, Pacific J. Math. 50 (1974), 169-185.
• [26] R. E. Smithson, Almost and weak continuity for multifunctions, Bull. Calcutta Math. Soc. 70 (1978), 383-390.
• [27] N. V. Veličko, H-closed topological spaces, Amer. Math. Soc. Transl. 78 (1968), 103-118.
• [28] D. Wine, Locally paracompact spaces, Glasnik Mat. Ser Ill 10(30) (1975), 351-357.