Also, the relationship between upper and lower na-continuous multifunctions and some known types of continuous multifunctions are discussed.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:The aim of this paper is to introduce a new class of continuous multifunctions, namely upper and lower na-continuous multifunctions, and to obtain some characterizations concerning upper and lower nacontinuous multifunctions.
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Temel Bulgular & Veri:The authors investigate the graph of upper and lower na-continuous multifunctions, and the preservation of properties under upper na-continuous multifunctions.
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Sonuç & Katkı:Also, the relationship between upper and lower na-continuous multifunctions and some known types of continuous multifunctions are discussed.
The aim of this paper is to introduce a new class of continuous multifunctions, namely upper and lower na-continuous multifunctions, and to obtain some characterizations concerning upper and lower nacontinuous multifunctions. The authors investigate the graph of upper and lower na-continuous multifunctions, and the preservation of properties under upper na-continuous multifunctions. Also, the relationship between upper and lower na-continuous multifunctions and some known types of continuous multifunctions are discussed.
Akda˘g, M. On super continuous multifunctions, Acta Math. Hungar. 99 (1-2), 143–153, 2003. [2] Akda˘g, M. Weak and strong forms of continuity of multifunctions, Chaos Solitions and Fractals 32, 1337–1344, 2007.
Banzaru, T. On the upper semicontinuity of the upper topological limit for multifunction nets, Semin. Mat. Fiz. Inst. Politeh Timisoara, 59–64, 1983.
Berge, C. Escapes topologiques fonctions multivoques (Dunod, Paris, 1959)
Chae, G. U. Noiri, T. and Lee, D. W. On na-continuous functions, Kyungpook Math. J. 26(1), 73–79, 1986.
Maheswari, S. N. and Thakur, S. S. On α-compact spaces, Bull. Inst. Sinica 13, 341–347, 1985. [7] Navalagi, G. B. α-Neighbourhoods, unpublished. Neubrunn, T. Strongly quasi continuous multivalued mappings, General topology and its relations to modern analysis and algebra VI. Proc of Symposium, Prague, 1986,
Helderman Verlag. Nijastad, O. On some classes of nearly open sets, Pacific J. Math. 15, 961–970, 1965.
Noiri, T. On δ-continuous functions, J. Korean Math. Soc. 16, 161–166, 1980.
Noiri, T. and Popa, V. Almost weakly continuous multifunctions, Demonstratio Math. 26(2), 363–380, 1993.
Noiri, T. Popa, V. On upper and lower M-continuous multifunctions, FILOMAT 14, 73-86, 2000. [13] Ponomarev, V. I. Properties of topological spaces preserved under multivalued continuous mappings, Amer. Math. Soc. Transl. 38 (2), 119–140, 1964.
Singal, M. K. and Mathur, A. On nearly compact spaces, Bull. Un. Mat. Ital. 4 (2), 702–710, 1969. [15] Stone, M. H. Applications of the theory of Boolean rings to general topology, T. A. M. S. 41, 375–381, 1937.
Velicko, N. V. H-closed topological spaces, Amer. Math. Soc. Transl. 78, 103–118, 1968.