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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2006 / Cilt: 35 - Sayı: 2

On almost $ell$-continuous multifunctions

I. L. REILLY
A. KANIBİR
Sayfa
181–188
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We relate this class of multifunctions to other classes of multifunctions, and provide characterizations of related concepts especially in terms of an appropriate change of topology.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The aim of this paper is to introduce a new class of multifunctions between topological spaces, namely almost $ell$-continuous multifunctions, which properly contains the class of $ell$-continuous multifunctions introduced by Sakalova in 1989.
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Temel Bulgular & Veri:The aim of this paper is to introduce a new class of multifunctions between topological spaces, namely almost $ell$-continuous multifunctions, which properly contains the class of $ell$-continuous multifunctions introduced by Sakalova in 1989.
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Sonuç & Katkı:We relate this class of multifunctions to other classes of multifunctions, and provide characterizations of related concepts especially in terms of an appropriate change of topology.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

The aim of this paper is to introduce a new class of multifunctions between topological spaces, namely almost $ell$-continuous multifunctions, which properly contains the class of $ell$-continuous multifunctions introduced by Sakalova in 1989. We relate this class of multifunctions to other classes of multifunctions, and provide characterizations of related concepts especially in terms of an appropriate change of topology.

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Bu Makaleye Atıf Yap

REILLY, I. L., KANIBİR, A. (2022). On almost $ell$-continuous multifunctions. Hacettepe Journal of Mathematics and Statistics, Cilt: 35 - Sayı: 2, 181–188. https://ajindex.com/articles/530761

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  1. [I]Ekici, E. Nearly continuous multifunctions, Acta Math. Univ. Comenianae, Vol.LXXII(2),229-235, 2003. [2]Ekici, E. Almost nearly continuous multifunctions, Acta Math. Univ. Comeniane, Vol.LXXIII (2), 175-186, 2004. [3]Gauld, D. B. c-continuous functions and cocompact topologies, Kyungpook Math. J. 18,151-157, 1978. [4]Gauld, D.B. Topologies related to notions of near continuity, Kyungpook Math. J. 21,195-204, 1981. [5]Gauld, D.B., Mrsevic, M., Reilly, I. L. and Vamanamurthy, M. K. CoLindelöf topologies and i-continuous functions, Glasnik Matematicki, 19 (39), 297-308, 1984. [6]Hola, L., Balaz, V. and Neubrunn, T. Remarks on c-continuous multifunctions, Acta Math.Univ. Comenianae, Vol.L-LI, 51-58, 1987. [7]Kohli, J.K. A class of mappings containing all continuous mappings, Glasnik Mat. Ser. III 16(36), 361-367, 1981. [8]Konstadilaki-Sawopoulou, Ch. and Reilly I. L. Almost $ell$-continuous functions, Glasnik Matematicki 25 (45), 363-370, 1990. [9]Kucuk, Y. Almost c-continuous multifunctions, Pure and Applied Mathematical Science Vol. XXXIX, No.1-2, 1-9, 1994. [10]Mukherji, T.K. and Sarkar M. On a class of almost discrete spaces, Mat. Vesnik 3(16)(31),459-474, 1979. [11]Sakalova, K. Continuity properties of multifunctions, Acta Math. Univ. Comenianae,Vol.LVI-LVII, 159-165, 1989.